<?xml version='1.0' encoding='UTF-8'?>
<model name="BG2" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<!-- Bond graph model of mechanical system-->
<units name="J_per_m">
<unit units="joule"/>
<unit exponent="-1" units="metre"/>
</units>
<units name="m_per_s">
<unit units="metre"/>
<unit exponent="-1" units="second"/>
</units>
<units name="m_per_s2">
<unit units="metre"/>
<unit exponent="-2" units="second"/>
</units>
<units name="m2_per_J">
<unit exponent="2" units="metre"/>
<unit exponent="-1" units="joule"/>
</units>
<units name="Js_per_m2">
<unit units="joule"/>
<unit units="second"/>
<unit exponent="-2" units="metre"/>
</units>
<units name="Js2_per_m2">
<unit units="joule"/>
<unit exponent="2" units="second"/>
<unit exponent="-2" units="metre"/>
</units>
<component name="main">
<variable initial_value="0" name="t" units="second"/>
<!-- State variables-->
<variable initial_value="1" name="q_1" units="metre"/>
<variable initial_value="0" name="v_1" units="m_per_s"/>
<variable name="a_1" units="m_per_s2"/>
<variable name="u_C" units="J_per_m"/>
<variable name="u_R" units="J_per_m"/>
<variable name="u_L" units="J_per_m"/>
<!-- Constitutive parameters-->
<variable initial_value="20" name="C" units="m2_per_J"/>
<variable initial_value="0.1" name="R" units="Js_per_m2"/>
<variable initial_value="10" name="L" units="Js2_per_m2"/>
<!-- Conservation laws-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_1</ci>
</apply>
<ci>v_1</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>v_1</ci>
</apply>
<ci>a_1</ci>
</apply>
<apply>
<eq/>
<ci>u_C</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>u_R</ci>
</apply>
<ci>u_L</ci>
</apply>
</apply>
<!-- Constitutive relations-->
<apply>
<eq/>
<ci>u_C</ci>
<apply>
<divide/>
<ci>q_1</ci>
<ci>C</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_R</ci>
<apply>
<times/>
<ci>v_1</ci>
<ci>R</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_L</ci>
<apply>
<times/>
<ci>a_1</ci>
<ci>L</ci>
</apply>
</apply>
</math>
</component>
</model>
