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subscript="b3">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="b0">A</ml:id> <ml:id xml:space="preserve" subscript="01">A</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="12">A</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="23">A</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="44"/> </region> <region region-id="2079" left="36" top="1994.25" width="578.25" height="12" align-x="43.5" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Pro sestavení rovnic inverzní úlohy je celková transformační matice vyjádřena symbolickým vynásobením jednotlivých matic </text> </region> <region region-id="1452" left="36" top="2031" width="390.75" height="72" align-x="60.75" align-y="2070" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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align-y="2412" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="1">q</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:indexer/> <ml:apply> <ml:id xml:space="preserve">Q</ml:id> <ml:sequence> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">z</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:sequence> </ml:apply> <ml:sequence> <ml:real>1</ml:real> <ml:real>1</ml:real> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="53"/> </region> <region region-id="536" left="42" top="2426.25" width="140.25" height="19.5" align-x="73.5" align-y="2436" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="2">q</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:indexer/> <ml:apply> <ml:id xml:space="preserve">Q</ml:id> <ml:sequence> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">z</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:sequence> </ml:apply> <ml:sequence> <ml:real>2</ml:real> <ml:real>1</ml:real> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="54"/> </region> <region region-id="537" left="42" 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use-page-width="false" push-down="false" lock-width="true"> rychlosti </text> </region> <region region-id="568" left="18" top="2568" width="93" height="31.5" align-x="61.5" align-y="2586" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="1">ddq</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve" subscript="1">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:lambda> </ml:apply> </ml:define> </math> <rendering item-idref="59"/> </region> <region region-id="569" left="120" top="2568" width="93" height="31.5" align-x="163.5" align-y="2586" show-border="false" 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push-down="false" lock-width="true"> Kontrola v Pro/E </text> </region> <region region-id="1729" left="552" top="2646" width="259.5" height="217.5" align-x="552" align-y="2646" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="62"/> <rendering item-idref="63"/> </region> <region region-id="1726" left="6" top="2652" width="238.5" height="211.5" align-x="6" align-y="2652" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="64"/> <rendering item-idref="65"/> </region> <region region-id="1212" left="276" top="2652" width="251.25" height="205.5" align-x="276" align-y="2652" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="66"/> <rendering item-idref="67"/> </region> <region region-id="1768" left="12" top="2868" width="312.75" height="345.75" align-x="12" align-y="2868" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <metafile mapping-mode="8" x-extent="311.2441" y-extent="344.2394" item-idref="68"/> </picture> <rendering item-idref="69"/> </region> <region region-id="1770" left="354" top="2868" width="312.75" height="345.75" align-x="354" align-y="2868" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <metafile mapping-mode="8" x-extent="311.2441" y-extent="344.2394" item-idref="70"/> </picture> <rendering item-idref="71"/> </region> <region region-id="1772" left="690" top="2868" width="312.75" height="345.75" align-x="690" align-y="2868" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <metafile mapping-mode="8" x-extent="311.2441" y-extent="344.2394" item-idref="72"/> 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<ml:apply> <ml:mult/> <ml:real>1.4573962</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-4</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="115"/> </region> <region region-id="4293" left="348" top="5354.25" width="81" height="15.75" align-x="369" align-y="5364" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="z1">J</ml:id> <ml:real>1.4139746</ml:real> </ml:define> </math> <rendering item-idref="116"/> </region> <region region-id="4366" left="30" top="5402.25" width="354.75" height="12" align-x="51" align-y="5412" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Přepočet momentů setrvačnosti k osám na momenty setrvačnosti k rovinám </text> </region> <region region-id="4257" left="30" top="5428.5" width="102.75" height="31.5" align-x="54.75" align-y="5448" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="xx1">J</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="y1">J</ml:id> <ml:id xml:space="preserve" subscript="z1">J</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="x1">J</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="117"/> </region> <region region-id="4258" left="30" top="5464.5" width="102.75" height="31.5" align-x="54.75" align-y="5484" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="yy1">J</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="z1">J</ml:id> <ml:id xml:space="preserve" subscript="x1">J</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="y1">J</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="118"/> </region> <region region-id="4259" left="192" top="5444.25" width="68.25" height="74.25" align-x="219" align-y="5484" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t11">P</ml:id> <ml:matrix rows="4" cols="1"> <ml:id xml:space="preserve" subscript="t11">x</ml:id> <ml:id xml:space="preserve" subscript="t11">y</ml:id> <ml:id xml:space="preserve" subscript="t11">z</ml:id> <ml:real>1</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="119"/> </region> <region region-id="4260" left="300" top="5444.25" width="124.5" height="73.5" align-x="326.25" align-y="5484" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t11">P</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:matrix rows="4" cols="1"> <ml:real>-0.040325987</ml:real> <ml:real>-1.8024766E-06</ml:real> <ml:real>0.7357416200000001</ml:real> <ml:real>1</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="120"/> </region> <region region-id="4261" left="30" top="5500.5" width="102.75" height="31.5" align-x="54.75" align-y="5520" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="zz1">J</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="x1">J</ml:id> <ml:id xml:space="preserve" subscript="y1">J</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="z1">J</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="121"/> </region> <region region-id="4370" left="30" top="5552.25" width="147.75" height="12" align-x="56.25" align-y="5562" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Homogenní matice setrvačnosti </text> </region> <region region-id="95" left="24" top="5580.75" width="228" height="76.5" align-x="43.5" align-y="5622" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">H</ml:id> <ml:matrix rows="4" cols="4"> <ml:id xml:space="preserve" subscript="xx1">J</ml:id> <ml:id xml:space="preserve" subscript="xy1">J</ml:id> <ml:id xml:space="preserve" subscript="xz1">J</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">m</ml:id> <ml:id xml:space="preserve" subscript="t11">x</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="xy1">J</ml:id> <ml:id xml:space="preserve" subscript="yy1">J</ml:id> <ml:id xml:space="preserve" subscript="yz1">J</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">m</ml:id> <ml:id xml:space="preserve" subscript="t11">y</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="xz1">J</ml:id> <ml:id xml:space="preserve" subscript="yz1">J</ml:id> <ml:id xml:space="preserve" subscript="zz1">J</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">m</ml:id> <ml:id xml:space="preserve" subscript="t11">z</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">m</ml:id> <ml:id xml:space="preserve" subscript="t11">x</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">m</ml:id> <ml:id xml:space="preserve" subscript="t11">y</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">m</ml:id> <ml:id xml:space="preserve" subscript="t11">z</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="1">m</ml:id> </ml:matrix> </ml:define> </math> <rendering item-idref="122"/> </region> <region region-id="96" left="270" top="5573.25" width="342.75" height="91.5" align-x="288.75" align-y="5622" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">H</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:matrix rows="4" cols="4"> <ml:real>1.1636153</ml:real> <ml:real>-7.9670815E-06</ml:real> <ml:real>2.0478701</ml:real> <ml:real>-1.9689035319371211</ml:real> <ml:real>-7.9670815E-06</ml:real> <ml:real>0.25035930000000306</ml:real> <ml:real>0.00014573962</ml:real> <ml:real>-8.80053486099178E-05</ml:real> <ml:real>2.0478701</ml:real> <ml:real>0.00014573962</ml:real> <ml:real>46.193333700000004</ml:real> <ml:real>35.922351366406467</ml:real> <ml:real>-1.9689035319371211</ml:real> <ml:real>-8.80053486099178E-05</ml:real> <ml:real>35.922351366406467</ml:real> <ml:real>48.824683</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="123"/> </region> <region region-id="5805" left="30" top="5712" width="205.5" height="166.5" align-x="30" align-y="5712" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <metafile mapping-mode="8" x-extent="204.0094" y-extent="165.0047" item-idref="124"/> </picture> <rendering item-idref="125"/> </region> <region region-id="1898" left="24" top="5900.25" width="474" height="228" align-x="24" align-y="5910" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> TRAN2 MASS =<sp count="2"/>4.2894906e+01 KILOGRAM CENTER OF GRAVITY with respect to LCS2 coordinate frame: X<sp count="3"/>Y<sp count="3"/>Z<sp count="4"/>-7.2368752e-02<sp count="2"/>0.0000000e+00 -4.7439674e-02<sp count="2"/>M INERTIA with respect to LCS2 coordinate frame:<sp count="2"/>(KILOGRAM * M^2) INERTIA TENSOR: Ixx Ixy Ixz<sp count="2"/>1.0344896e+00<sp count="2"/>0.0000000e+00 -1.2186605e-01 Iyx Iyy Iyz<sp count="2"/>0.0000000e+00<sp count="2"/>1.7935719e+00<sp count="2"/>0.0000000e+00 Izx Izy Izz -1.2186605e-01<sp count="2"/>0.0000000e+00<sp count="2"/>1.4614205e+00 INERTIA at CENTER OF GRAVITY with respect to LCS2 coordinate frame:<sp count="2"/>(KILOGRAM * M^2) INERTIA TENSOR: Ixx Ixy Ixz<sp count="2"/>9.3795366e-01<sp count="2"/>0.0000000e+00<sp count="2"/>2.5398594e-02 Iyx Iyy Iyz<sp count="2"/>0.0000000e+00<sp count="2"/>1.4723852e+00<sp count="2"/>0.0000000e+00 Izx Izy Izz<sp count="2"/>2.5398594e-02<sp count="2"/>0.0000000e+00<sp count="2"/>1.2367697e+00 </text> </region> <region region-id="4303" left="24" top="6164.25" width="129" height="24" align-x="24" align-y="6174" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">Článek 2</inlineAttr> </f> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">momenty k lokálnímu ss</inlineAttr> </f> </text> </region> <region region-id="4331" left="24" top="6212.25" width="107.25" height="21.75" align-x="45" align-y="6228" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">m</ml:id> <ml:apply> <ml:mult/> <ml:real>4.2894906</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="126"/> </region> <region region-id="5827" left="24" top="6248.25" width="124.5" height="21.75" align-x="48.75" align-y="6264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t22">x</ml:id> <ml:apply> <ml:neg/> <ml:apply> <ml:mult/> <ml:real>7.2368752</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="127"/> </region> <region region-id="5828" left="24" top="6278.25" width="85.5" height="15.75" align-x="49.5" align-y="6288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t22">y</ml:id> <ml:real>0.0000000</ml:real> </ml:define> </math> <rendering item-idref="128"/> </region> <region region-id="5829" left="24" top="6296.25" width="124.5" height="21.75" align-x="48.75" align-y="6312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t22">z</ml:id> <ml:apply> <ml:neg/> <ml:apply> <ml:mult/> <ml:real>4.7439674</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="129"/> </region> <region region-id="4332" left="24" top="6344.25" width="81" height="15.75" align-x="45" align-y="6354" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="x2">J</ml:id> <ml:real>1.0344896</ml:real> </ml:define> </math> <rendering item-idref="130"/> </region> <region region-id="4353" left="24" top="6368.25" width="39.75" height="15.75" align-x="48.75" align-y="6378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="xy2">J</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="131"/> </region> <region region-id="4354" left="174" top="6368.25" width="81" height="15.75" align-x="195" align-y="6378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="y2">J</ml:id> <ml:real>1.7935719</ml:real> </ml:define> </math> <rendering item-idref="132"/> </region> <region region-id="4350" left="24" top="6386.25" width="124.5" height="21.75" align-x="48.75" align-y="6402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="xz2">J</ml:id> <ml:apply> <ml:neg/> <ml:apply> <ml:mult/> <ml:real>1.2186605</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="133"/> </region> <region region-id="4352" left="174" top="6392.25" width="39.75" height="15.75" align-x="198.75" align-y="6402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="yz2">J</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="134"/> </region> <region region-id="4351" left="288" top="6392.25" width="81" height="15.75" align-x="309" align-y="6402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="z2">J</ml:id> <ml:real>1.4614205</ml:real> </ml:define> </math> <rendering item-idref="135"/> </region> <region region-id="4375" left="24" top="6434.25" width="354.75" height="12" align-x="45" align-y="6444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Přepočet momentů setrvačnosti k osám na momenty setrvačnosti k rovinám </text> </region> <region region-id="115" left="30" top="6460.5" width="102.75" height="31.5" align-x="54.75" align-y="6480" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="xx2">J</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="y2">J</ml:id> <ml:id xml:space="preserve" subscript="z2">J</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="x2">J</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="136"/> </region> <region region-id="4361" left="192" top="6470.25" width="68.25" height="74.25" align-x="219" align-y="6510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t22">P</ml:id> <ml:matrix rows="4" cols="1"> <ml:id xml:space="preserve" subscript="t22">x</ml:id> <ml:id xml:space="preserve" subscript="t22">y</ml:id> <ml:id xml:space="preserve" subscript="t22">z</ml:id> <ml:real>1</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="137"/> </region> <region region-id="4362" left="300" top="6473.25" width="88.5" height="67.5" align-x="326.25" align-y="6510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t22">P</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:matrix rows="4" cols="1"> <ml:real>-0.072368752000000008</ml:real> <ml:real>0</ml:real> <ml:real>-0.047439674</ml:real> <ml:real>1</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="138"/> </region> <region region-id="119" left="30" top="6496.5" width="102.75" height="31.5" align-x="54.75" align-y="6516" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" 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z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> TRAN3 MASS =<sp count="2"/>5.9261161e+01 KILOGRAM CENTER OF GRAVITY with respect to LCS3 coordinate frame: X<sp count="3"/>Y<sp count="3"/>Z<sp count="5"/>2.5740416e-03<sp count="2"/>0.0000000e+00 -3.7039760e-01<sp count="2"/>M INERTIA with respect to LCS3 coordinate frame:<sp count="2"/>(KILOGRAM * M^2) INERTIA TENSOR: Ixx Ixy Ixz<sp count="2"/>3.3435680e+01<sp count="2"/>0.0000000e+00<sp count="2"/>1.9296398e-01 Iyx Iyy Iyz<sp count="2"/>0.0000000e+00<sp count="2"/>3.4142950e+01<sp count="2"/>0.0000000e+00 Izx Izy Izz<sp count="2"/>1.9296398e-01<sp count="2"/>0.0000000e+00<sp count="2"/>1.0075258e+00 INERTIA at CENTER OF GRAVITY with respect to LCS3 coordinate frame:<sp count="2"/>(KILOGRAM * M^2) INERTIA TENSOR: Ixx Ixy Ixz<sp count="2"/>2.5305381e+01<sp count="2"/>0.0000000e+00<sp count="2"/>1.3646327e-01 Iyx Iyy Iyz<sp count="2"/>0.0000000e+00<sp count="2"/>2.6012259e+01<sp count="2"/>0.0000000e+00 Izx Izy Izz<sp count="2"/>1.3646327e-01<sp count="2"/>0.0000000e+00<sp count="2"/>1.0071331e+00 </text> </region> <region region-id="4415" left="24" top="7208.25" width="129" height="24" align-x="24" align-y="7218" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">Článek 3</inlineAttr> </f> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">momenty k lokálnímu ss</inlineAttr> </f> </text> </region> <region region-id="4420" left="24" top="7244.25" width="107.25" height="21.75" align-x="45" align-y="7260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id 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width="107.25" height="21.75" align-x="195" align-y="7422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="y3">J</ml:id> <ml:apply> <ml:mult/> <ml:real>3.4142950</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="151"/> </region> <region region-id="4436" left="24" top="7430.25" width="118.5" height="21.75" align-x="48.75" align-y="7446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="xz3">J</ml:id> <ml:apply> <ml:mult/> <ml:real>1.9296398</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> 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<rendering item-idref="154"/> </region> <region region-id="4445" left="24" top="7478.25" width="354.75" height="12" align-x="45" align-y="7488" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Přepočet momentů setrvačnosti k osám na momenty setrvačnosti k rovinám </text> </region> <region region-id="4410" left="24" top="7504.5" width="102.75" height="31.5" align-x="48.75" align-y="7524" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="xx3">J</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="y3">J</ml:id> <ml:id xml:space="preserve" subscript="z3">J</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="x3">J</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="155"/> </region> <region region-id="4411" left="24" top="7540.5" width="102.75" height="31.5" align-x="48.75" align-y="7560" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="yy3">J</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="z3">J</ml:id> <ml:id xml:space="preserve" subscript="x3">J</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="y3">J</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="156"/> </region> <region region-id="1908" left="192" top="7520.25" width="68.25" height="74.25" align-x="219" align-y="7560" show-border="false" show-highlight="false" 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cols="1"> <ml:real>0.0025740416</ml:real> <ml:real>0</ml:real> <ml:real>-0.3703976</ml:real> <ml:real>1</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="158"/> </region> <region region-id="4412" left="24" top="7576.5" width="102.75" height="31.5" align-x="48.75" align-y="7596" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="zz3">J</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="x3">J</ml:id> <ml:id xml:space="preserve" subscript="y3">J</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="z3">J</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="159"/> </region> <region region-id="4447" left="24" top="7622.25" width="147.75" height="12" align-x="50.25" align-y="7632" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Homogenní matice setrvačnosti </text> </region> <region region-id="158" left="24" top="7644.75" width="228" height="76.5" align-x="43.5" align-y="7686" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">H</ml:id> <ml:matrix rows="4" cols="4"> <ml:id xml:space="preserve" subscript="xx3">J</ml:id> <ml:id xml:space="preserve" subscript="xy3">J</ml:id> <ml:id xml:space="preserve" subscript="xz3">J</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="3">m</ml:id> <ml:id xml:space="preserve" subscript="t33">x</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="xy3">J</ml:id> <ml:id xml:space="preserve" subscript="yy3">J</ml:id> <ml:id xml:space="preserve" subscript="yz3">J</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="3">m</ml:id> <ml:id xml:space="preserve" subscript="t33">y</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="xz3">J</ml:id> <ml:id xml:space="preserve" subscript="yz3">J</ml:id> <ml:id xml:space="preserve" subscript="zz3">J</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="3">m</ml:id> <ml:id xml:space="preserve" subscript="t33">z</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="3">m</ml:id> <ml:id xml:space="preserve" subscript="t33">x</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="3">m</ml:id> <ml:id xml:space="preserve" subscript="t33">y</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="3">m</ml:id> <ml:id xml:space="preserve" subscript="t33">z</ml:id> </ml:apply> 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<ml:real>0.15254069367829762</ml:real> <ml:real>0</ml:real> <ml:real>-21.9501918076136</ml:real> <ml:real>59.261161</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="161"/> </region> <region region-id="202" left="30" top="7795.5" width="578.25" height="21" align-x="30" align-y="7812" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CE" charset="238" size="18"> <inlineAttr line-through="false">Výpočet zobecněné síly pomocí Lagrangeovy pohybové rovnice II. druhu</inlineAttr> </f> </text> </region> <region region-id="7226" left="48" top="7842" width="434.25" height="44.25" align-x="48" align-y="7842" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="162" display-width="432.75" display-height="42.75"/> </picture> <rendering 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xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="2">m</ml:id> <ml:apply> <ml:transpose/> <ml:id xml:space="preserve">G</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="22">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="t22">P</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="3">m</ml:id> <ml:apply> <ml:transpose/> <ml:id xml:space="preserve">G</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="32">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="t33">P</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="204"/> </region> <region region-id="7152" left="66" top="9566.25" width="123.75" height="12" align-x="66" align-y="9576" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">zobecněná síla v kloubu 2</inlineAttr> </f> </text> </region> <region region-id="7153" left="66" top="9596.25" width="147.75" height="15.75" align-x="102.75" align-y="9606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="560734492" is-modified="false" region-id="0" href="J:\Skripta a učebnice\Mechatronika průmyslových robotů\Mathcad\Mathcad_priklady\RTT_obec_ram_Lagr_maticove.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="560734332" is-modified="false" region-id="0" href="J:\Skripta a učebnice\Mechatronika průmyslových robotů\Mathcad\Mathcad_priklady\RTT_obec_ram_Lagr_maticove.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">df4b2a9914cc1c296c5c1b8d0bf578d1</contentHash> <ml:define> <ml:function> <ml:id xml:space="preserve" subscript="2L">τ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:id xml:space="preserve" subscript="21">l</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="22">l</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="23">l</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="205"> <element-image-map> <box left="1.5" top="0.75" width="146.25" height="14.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="7154" left="66" top="9650.25" width="125.25" height="12" align-x="66" align-y="9660" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">první člen Lagr.rov. pro j=3</inlineAttr> </f> </text> </region> <region region-id="7155" left="66" top="9666" width="154.5" height="44.25" align-x="66" align-y="9666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="206" display-width="153" display-height="42.75"/> </picture> <rendering item-idref="207"/> </region> <region region-id="7156" left="66" top="9728.25" width="383.25" height="42" align-x="99" align-y="9744" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="560733972" is-modified="false" region-id="0" href="J:\Skripta a učebnice\Mechatronika průmyslových robotů\Mathcad\Mathcad_priklady\RTT_obec_ram_Lagr_maticove.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="560733852" is-modified="false" region-id="0" href="J:\Skripta a učebnice\Mechatronika průmyslových robotů\Mathcad\Mathcad_priklady\RTT_obec_ram_Lagr_maticove.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">eb7956623eacf49fb54b94a7ce868b47</contentHash> <ml:define> <ml:function> <ml:id xml:space="preserve" subscript="31">l</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus split="true"/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="33">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="31">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="1">ddq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="33">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="32">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="2">ddq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="33">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="33">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="3">ddq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="208"> <element-image-map> <box left="1.5" top="0.75" width="381.75" height="40.5" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="7157" left="66" top="9776.25" width="97.5" height="12" align-x="66" align-y="9786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">Druhý člen Lagr. rov.</inlineAttr> </f> </text> </region> <region region-id="7158" left="66" top="9798" width="188.25" height="44.25" align-x="66" align-y="9798" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="209" display-width="186.75" display-height="42.75"/> </picture> <rendering item-idref="210"/> </region> <region region-id="7159" left="66" top="9854.25" width="464.25" height="102.75" align-x="99" align-y="9870" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="560734452" is-modified="false" region-id="0" href="J:\Skripta a učebnice\Mechatronika průmyslových robotů\Mathcad\Mathcad_priklady\RTT_obec_ram_Lagr_maticove.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="560734212" is-modified="false" region-id="0" href="J:\Skripta a učebnice\Mechatronika průmyslových robotů\Mathcad\Mathcad_priklady\RTT_obec_ram_Lagr_maticove.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> 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<ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="33">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="321">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="1">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="2">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="33">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> 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xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="2">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="33">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="331">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="1">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="3">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> 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show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="12">A</ml:id> <ml:matrix rows="4" cols="4"> <ml:real>1</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>1</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>-1</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:id xml:space="preserve" subscript="2">l</ml:id> <ml:real>0</ml:real> <ml:id xml:space="preserve" subscript="2">s</ml:id> <ml:real>1</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="2055" left="474" top="1756.5" width="102" height="69.75" align-x="499.5" align-y="1794" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="23">A</ml:id> <ml:matrix rows="4" cols="4"> <ml:real>1</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>1</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>1</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:id xml:space="preserve" subscript="3">s</ml:id> <ml:real>1</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="2073" left="42" top="1850.25" width="140.25" height="12" align-x="60.75" align-y="1860" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Celkové transformační matice </text> </region> <region region-id="2074" left="42" top="1886.25" 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item-idref="42"/> </region> <region region-id="2076" left="42" top="1934.25" width="105.75" height="15.75" align-x="66.75" align-y="1944" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="b2">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="b0">A</ml:id> <ml:id xml:space="preserve" subscript="01">A</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="12">A</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="2077" left="42" top="1958.25" width="132.75" height="15.75" align-x="66.75" align-y="1968" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="b3">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="b0">A</ml:id> <ml:id xml:space="preserve" subscript="01">A</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="12">A</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="23">A</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="44"/> </region> <region region-id="2079" left="36" top="1994.25" width="578.25" height="12" align-x="43.5" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Pro sestavení rovnic inverzní úlohy je celková transformační matice vyjádřena symbolickým vynásobením jednotlivých matic </text> </region> <region region-id="1452" left="36" top="2031" width="390.75" height="72" align-x="60.75" align-y="2070" 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<ml:real>1</ml:real> </ml:matrix> </ml:apply> <ml:matrix rows="4" cols="4"> <ml:real>1</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>1</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>1</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:id xml:space="preserve" subscript="3">s</ml:id> <ml:real>1</ml:real> </ml:matrix> </ml:apply> </ml:define> </math> <rendering item-idref="45"/> </region> <region region-id="1453" left="42" top="2126.25" width="277.5" height="74.25" align-x="66.75" align-y="2166" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="b3">T</ml:id> <ml:matrix rows="4" cols="4"> <ml:apply> <ml:id 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xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve" subscript="1">s</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="2">l</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve" subscript="1">s</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="3">s</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve" subscript="1">s</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="2">l</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="2">s</ml:id> <ml:id xml:space="preserve" subscript="0">l</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="46"/> </region> <region region-id="1454" left="324" top="2129.25" width="135" height="67.5" align-x="348" align-y="2166" show-border="false" 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</ml:apply> </ml:define> </math> <rendering item-idref="54"/> </region> <region region-id="537" left="42" top="2450.25" width="140.25" height="19.5" align-x="73.5" align-y="2460" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="3">q</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:indexer/> <ml:apply> <ml:id xml:space="preserve">Q</ml:id> <ml:sequence> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">z</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:sequence> </ml:apply> <ml:sequence> <ml:real>3</ml:real> 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tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">Pro rotační kloub</inlineAttr> </f> </text> </region> <region region-id="4215" left="126" top="4523.25" width="96.75" height="67.5" align-x="144.75" align-y="4560" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="r">D</ml:id> <ml:matrix rows="4" cols="4"> <ml:real>0</ml:real> <ml:real>1</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>-1</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:matrix> </ml:define> </math> <rendering 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is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="zz1">J</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="x1">J</ml:id> <ml:id xml:space="preserve" subscript="y1">J</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="z1">J</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="121"/> </region> <region region-id="4370" left="30" top="5552.25" width="147.75" height="12" align-x="56.25" align-y="5562" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Homogenní matice setrvačnosti </text> </region> <region region-id="95" left="24" top="5580.75" width="228" height="76.5" align-x="43.5" align-y="5622" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">H</ml:id> <ml:matrix rows="4" cols="4"> <ml:id xml:space="preserve" subscript="xx1">J</ml:id> <ml:id xml:space="preserve" subscript="xy1">J</ml:id> <ml:id xml:space="preserve" subscript="xz1">J</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">m</ml:id> <ml:id xml:space="preserve" subscript="t11">x</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="xy1">J</ml:id> <ml:id xml:space="preserve" subscript="yy1">J</ml:id> <ml:id xml:space="preserve" subscript="yz1">J</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">m</ml:id> <ml:id xml:space="preserve" subscript="t11">y</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="xz1">J</ml:id> <ml:id xml:space="preserve" subscript="yz1">J</ml:id> <ml:id xml:space="preserve" subscript="zz1">J</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">m</ml:id> <ml:id xml:space="preserve" subscript="t11">z</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">m</ml:id> <ml:id xml:space="preserve" subscript="t11">x</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">m</ml:id> <ml:id xml:space="preserve" subscript="t11">y</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">m</ml:id> <ml:id xml:space="preserve" subscript="t11">z</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="1">m</ml:id> </ml:matrix> </ml:define> </math> <rendering item-idref="122"/> </region> <region region-id="96" left="270" top="5573.25" width="342.75" height="91.5" align-x="288.75" align-y="5622" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">H</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:matrix rows="4" cols="4"> <ml:real>1.1636153</ml:real> <ml:real>-7.9670815E-06</ml:real> <ml:real>2.0478701</ml:real> <ml:real>-1.9689035319371211</ml:real> <ml:real>-7.9670815E-06</ml:real> <ml:real>0.25035930000000306</ml:real> <ml:real>0.00014573962</ml:real> <ml:real>-8.80053486099178E-05</ml:real> <ml:real>2.0478701</ml:real> <ml:real>0.00014573962</ml:real> <ml:real>46.193333700000004</ml:real> <ml:real>35.922351366406467</ml:real> <ml:real>-1.9689035319371211</ml:real> <ml:real>-8.80053486099178E-05</ml:real> <ml:real>35.922351366406467</ml:real> <ml:real>48.824683</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="123"/> </region> <region region-id="5805" left="30" top="5712" width="205.5" height="166.5" align-x="30" align-y="5712" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <metafile mapping-mode="8" x-extent="204.0094" y-extent="165.0047" item-idref="124"/> </picture> <rendering item-idref="125"/> </region> <region region-id="1898" left="24" top="5900.25" width="474" height="228" align-x="24" align-y="5910" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> TRAN2 MASS =<sp count="2"/>4.2894906e+01 KILOGRAM CENTER OF GRAVITY with respect to LCS2 coordinate frame: X<sp count="3"/>Y<sp count="3"/>Z<sp count="4"/>-7.2368752e-02<sp count="2"/>0.0000000e+00 -4.7439674e-02<sp count="2"/>M INERTIA with respect to LCS2 coordinate frame:<sp count="2"/>(KILOGRAM * M^2) INERTIA TENSOR: Ixx Ixy Ixz<sp count="2"/>1.0344896e+00<sp count="2"/>0.0000000e+00 -1.2186605e-01 Iyx Iyy Iyz<sp count="2"/>0.0000000e+00<sp count="2"/>1.7935719e+00<sp count="2"/>0.0000000e+00 Izx Izy Izz -1.2186605e-01<sp count="2"/>0.0000000e+00<sp count="2"/>1.4614205e+00 INERTIA at CENTER OF GRAVITY with respect to LCS2 coordinate frame:<sp count="2"/>(KILOGRAM * M^2) INERTIA TENSOR: Ixx Ixy Ixz<sp count="2"/>9.3795366e-01<sp count="2"/>0.0000000e+00<sp count="2"/>2.5398594e-02 Iyx Iyy Iyz<sp count="2"/>0.0000000e+00<sp count="2"/>1.4723852e+00<sp count="2"/>0.0000000e+00 Izx Izy Izz<sp count="2"/>2.5398594e-02<sp count="2"/>0.0000000e+00<sp count="2"/>1.2367697e+00 </text> </region> <region region-id="4303" left="24" top="6164.25" width="129" height="24" align-x="24" align-y="6174" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">Článek 2</inlineAttr> </f> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">momenty k lokálnímu ss</inlineAttr> </f> </text> </region> <region region-id="4331" left="24" top="6212.25" width="107.25" height="21.75" align-x="45" align-y="6228" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">m</ml:id> <ml:apply> <ml:mult/> <ml:real>4.2894906</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="126"/> </region> <region region-id="5827" left="24" top="6248.25" width="124.5" height="21.75" align-x="48.75" align-y="6264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t22">x</ml:id> <ml:apply> <ml:neg/> <ml:apply> <ml:mult/> <ml:real>7.2368752</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="127"/> </region> <region region-id="5828" left="24" top="6278.25" width="85.5" height="15.75" align-x="49.5" align-y="6288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t22">y</ml:id> <ml:real>0.0000000</ml:real> </ml:define> </math> <rendering item-idref="128"/> </region> <region region-id="5829" left="24" top="6296.25" width="124.5" height="21.75" align-x="48.75" align-y="6312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t22">z</ml:id> <ml:apply> <ml:neg/> <ml:apply> <ml:mult/> <ml:real>4.7439674</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="129"/> </region> <region region-id="4332" left="24" top="6344.25" width="81" height="15.75" align-x="45" align-y="6354" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="x2">J</ml:id> <ml:real>1.0344896</ml:real> </ml:define> </math> <rendering item-idref="130"/> </region> <region region-id="4353" left="24" top="6368.25" width="39.75" height="15.75" align-x="48.75" align-y="6378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="xy2">J</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="131"/> </region> <region region-id="4354" left="174" top="6368.25" width="81" height="15.75" align-x="195" align-y="6378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="y2">J</ml:id> <ml:real>1.7935719</ml:real> </ml:define> </math> <rendering item-idref="132"/> </region> <region region-id="4350" left="24" top="6386.25" width="124.5" height="21.75" align-x="48.75" align-y="6402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="xz2">J</ml:id> <ml:apply> <ml:neg/> <ml:apply> <ml:mult/> <ml:real>1.2186605</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="133"/> </region> <region region-id="4352" left="174" top="6392.25" width="39.75" height="15.75" align-x="198.75" align-y="6402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="yz2">J</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="134"/> </region> <region region-id="4351" left="288" top="6392.25" width="81" height="15.75" align-x="309" align-y="6402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="z2">J</ml:id> <ml:real>1.4614205</ml:real> </ml:define> </math> <rendering item-idref="135"/> </region> <region region-id="4375" left="24" top="6434.25" width="354.75" height="12" align-x="45" align-y="6444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Přepočet momentů setrvačnosti k osám na momenty setrvačnosti k rovinám </text> </region> <region region-id="115" left="30" top="6460.5" width="102.75" height="31.5" align-x="54.75" align-y="6480" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="xx2">J</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="y2">J</ml:id> <ml:id xml:space="preserve" subscript="z2">J</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="x2">J</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="136"/> </region> <region region-id="4361" left="192" top="6470.25" width="68.25" height="74.25" align-x="219" align-y="6510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t22">P</ml:id> <ml:matrix rows="4" cols="1"> <ml:id xml:space="preserve" subscript="t22">x</ml:id> <ml:id xml:space="preserve" subscript="t22">y</ml:id> <ml:id xml:space="preserve" subscript="t22">z</ml:id> <ml:real>1</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="137"/> </region> <region region-id="4362" left="300" top="6473.25" width="88.5" height="67.5" align-x="326.25" align-y="6510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t22">P</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:matrix rows="4" cols="1"> <ml:real>-0.072368752000000008</ml:real> <ml:real>0</ml:real> <ml:real>-0.047439674</ml:real> <ml:real>1</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="138"/> </region> <region region-id="119" left="30" top="6496.5" width="102.75" height="31.5" align-x="54.75" align-y="6516" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" 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subscript="y2">J</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="z2">J</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="140"/> </region> <region region-id="4377" left="36" top="6584.25" width="147.75" height="12" align-x="62.25" align-y="6594" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Homogenní matice setrvačnosti </text> </region> <region region-id="124" left="30" top="6612.75" width="228" height="76.5" align-x="49.5" align-y="6654" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">H</ml:id> <ml:matrix rows="4" cols="4"> <ml:id xml:space="preserve" subscript="xx2">J</ml:id> <ml:id 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<ml:mult/> <ml:id xml:space="preserve" subscript="2">m</ml:id> <ml:id xml:space="preserve" subscript="t22">y</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="2">m</ml:id> <ml:id xml:space="preserve" subscript="t22">z</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="2">m</ml:id> </ml:matrix> </ml:define> </math> <rendering item-idref="141"/> </region> <region region-id="125" left="276" top="6617.25" width="198.75" height="67.5" align-x="294.75" align-y="6654" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">H</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:matrix rows="4" cols="4"> <ml:real>1.1102514</ml:real> <ml:real>0</ml:real> <ml:real>-0.12186605</ml:real> 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align-x="50.25" align-y="7632" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Homogenní matice setrvačnosti </text> </region> <region region-id="158" left="24" top="7644.75" width="228" height="76.5" align-x="43.5" align-y="7686" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="3">H</ml:id> <ml:matrix rows="4" cols="4"> <ml:id xml:space="preserve" subscript="xx3">J</ml:id> <ml:id xml:space="preserve" subscript="xy3">J</ml:id> <ml:id xml:space="preserve" subscript="xz3">J</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="3">m</ml:id> <ml:id xml:space="preserve" subscript="t33">x</ml:id> </ml:apply> <ml:id xml:space="preserve" 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left="66" top="9224.25" width="97.5" height="12" align-x="66" align-y="9234" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">Druhý člen Lagr. rov.</inlineAttr> </f> </text> </region> <region region-id="7105" left="66" top="9246" width="188.25" height="44.25" align-x="66" align-y="9246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="199" display-width="186.75" display-height="42.75"/> </picture> <rendering item-idref="200"/> </region> <region region-id="7148" left="66" top="9308.25" width="464.25" height="143.25" align-x="99" align-y="9324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> 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xml:space="preserve" subscript="22">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="2">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="222">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="2">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="2">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="32">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id 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</ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="1">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="32">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="313">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="3">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="1">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="32">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="321">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="1">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="2">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="32">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="322">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="2">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="2">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="32">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="323">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="3">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="2">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="32">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="331">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="1">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="3">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="32">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="332">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="2">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="3">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="32">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="333">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="3">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="3">dq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="201"> <element-image-map> <box left="1.5" top="0.75" width="462.75" height="141.75" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="7149" left="66" top="9470.25" width="45" height="12" align-x="66" align-y="9480" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">Třetí člen</inlineAttr> </f> </text> </region> <region region-id="7150" left="66" top="9486" width="132" height="42" align-x="66" align-y="9486" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="202" display-width="130.5" display-height="40.5"/> </picture> <rendering item-idref="203"/> </region> <region region-id="7151" left="66" top="9530.25" width="264.75" height="21.75" align-x="99" align-y="9546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="23">l</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="2">m</ml:id> <ml:apply> <ml:transpose/> <ml:id xml:space="preserve">G</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="22">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="t22">P</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="3">m</ml:id> <ml:apply> <ml:transpose/> <ml:id xml:space="preserve">G</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="32">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="t33">P</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="204"/> </region> <region region-id="7152" left="66" top="9566.25" width="123.75" height="12" align-x="66" align-y="9576" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">zobecněná síla v kloubu 2</inlineAttr> </f> </text> </region> <region region-id="7153" left="66" top="9596.25" width="147.75" height="15.75" align-x="102.75" align-y="9606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="560734492" is-modified="false" region-id="0" href="J:\Skripta a učebnice\Mechatronika průmyslových robotů\Mathcad\Mathcad_priklady\RTT_obec_ram_Lagr_maticove.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="560734332" is-modified="false" region-id="0" href="J:\Skripta a učebnice\Mechatronika průmyslových robotů\Mathcad\Mathcad_priklady\RTT_obec_ram_Lagr_maticove.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">df4b2a9914cc1c296c5c1b8d0bf578d1</contentHash> <ml:define> <ml:function> <ml:id xml:space="preserve" subscript="2L">τ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:id xml:space="preserve" subscript="21">l</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="22">l</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="23">l</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="205"> <element-image-map> <box left="1.5" top="0.75" width="146.25" height="14.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="7154" left="66" top="9650.25" width="125.25" height="12" align-x="66" align-y="9660" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">první člen Lagr.rov. pro j=3</inlineAttr> </f> </text> </region> <region region-id="7155" left="66" top="9666" width="154.5" height="44.25" align-x="66" align-y="9666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="206" display-width="153" display-height="42.75"/> </picture> <rendering item-idref="207"/> </region> <region region-id="7156" left="66" top="9728.25" width="383.25" height="42" align-x="99" align-y="9744" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="560733972" is-modified="false" region-id="0" href="J:\Skripta a učebnice\Mechatronika průmyslových 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<ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="33">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="31">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="1">ddq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="33">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="32">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="2">ddq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">tr</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve" subscript="33">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="3">H</ml:id> </ml:apply> <ml:apply> <ml:transpose/> <ml:apply> <ml:id xml:space="preserve" subscript="33">U</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="3">ddq</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="208"> <element-image-map> <box left="1.5" top="0.75" width="381.75" height="40.5" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="7157" left="66" top="9776.25" width="97.5" height="12" align-x="66" align-y="9786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CE" charset="238"> <inlineAttr line-through="false">Druhý člen Lagr. rov.</inlineAttr> </f> </text> </region> <region region-id="7158" left="66" top="9798" width="188.25" height="44.25" align-x="66" align-y="9798" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="209" display-width="186.75" display-height="42.75"/> </picture> <rendering item-idref="210"/> </region> <region region-id="7159" left="66" top="9854.25" width="464.25" height="102.75" align-x="99" align-y="9870" show-border="false" show-highlight="false" 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