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Graph theoretical approach—I. determination of kinetic energy for a class of particle systems

✍ Scribed by Krzysztof Arczewski

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
735 KB
Volume
329
Category
Article
ISSN
0016-0032

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✦ Synopsis

The derimtion process of' the equutions of' motion .for constrained particle systems is often extremely laborious. This paper is the Jirst of u three-part series deievoted to the presentation of a new a@rithm of the equation-qf-motion yenerution for open kinematic chains of' particles. A newftirmula is derived.ftir the kinetic energy of open kinematic purticle chains. The derivation method uses a graph as the representation qf a system-measurement structure.

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The process of determining the generalized ji)rces (as a finction /?f'generalized coordinates and s,vstem parameters) qf a system consisting of' mass particles and springs is often extremely laborious. In this paper, a method is presented where the derived,formulae have a f&n of evident functions no