Application of the Infinitesimal Operators of Translation and Rotation : No. 1 The Lineage of Dynamic Equations
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Various mechanical quantities and conservation equations of dynamics can be arranged in good order by means of appropriate infinitesimal operators. In dynamics of point mass systems, the infinitesimal operators of translation and rotation can yield various dynamical quantities from the energy form, and the corresponding conservation equations from the energy conservation equation which form a family tree. Dynamics of a rigid body is also considered from the view-point of infinitesimal operators. The technique is useful in studying dynamics of continua with microstructures.
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