https://en.formulasearchengine.com/api.php?action=feedcontributions&feedformat=atom&user=2001%3A4898%3A80E8%3AED31%3A0%3A0%3A0%3A3formulasearchengine - User contributions [en]2026-05-01T07:19:29ZUser contributionsMediaWiki 1.43.0-wmf.28https://en.formulasearchengine.com/index.php?title=Real_hyperelliptic_curve&diff=26316Real hyperelliptic curve2013-09-11T17:16:52Z<p>2001:4898:80E8:ED31:0:0:0:3: /* Definition */</p>
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<div>{{one source|date=February 2011}}<br />
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In [[applied mathematics]], a '''damping matrix''' is a matrix corresponding to any of certain systems of linear ordinary differential equations. <br />
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A '''damping [[Matrix (mathematics)|matrix]]''' is defined as follows. If the system has ''n'' [[Degrees of freedom (mechanics)|degrees of freedom]] ''u''<sub>''n''</sub> and is under application of ''m'' [[damping]] [[force]]s.<br />
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Each [[force]] can be expressed as follows:<br />
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: <math>f_{Di}=c_{i1} \dot{u_1}+c_{i2} \dot{u_2}+\cdots+c_{in} \dot{u_n}=\sum_{j=1}^n c_{i,j}\dot{u_j} \, </math><br />
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It yields in [[Matrix (mathematics)|matrix]] form;<br />
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: <math>F_D=C \dot{U} \, </math><br />
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where '''C is the [[damping]] matrix''' composed by the damping coefficients:<br />
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: <math>C=(c_{i,j})_{1\le i\le n,1\le j\le m} \, </math><br />
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== References ==<br />
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*(fr) [http://www.enpc.fr/fr/formations/ecole_virt/cours/Pecker2009_2010/poly/Chapitre6.pdf Mechanics of structures and seisms]<br />
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[[Category:Mechanical engineering]]<br />
[[Category:Classical mechanics]]<br />
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{{engineering-stub}}<br />
{{physics-stub}}<br />
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