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Application of graph theory to the determination of potential energy of systems consisting of rigid bodies and springs

✍ Scribed by K. Arczewski

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 1004 KB
Volume: 324
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(87)90049-4

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✦ Synopsis

The process of determining the potential energy, as a function of generalized coordinates, of a system consisting of rigid bodies and springs is often extremely laborious. In this paper, a method is presented by means of which all the potential energy terms of a system are calculated in a systematic manner. It is assumed that the system of rigid bodies has a topological tree structure, and that linear springs are situated arbitrarily between the rigid bodies. The method is based on a graph-theoretical approach and is consistent with that of the calculation of kinetic energy presented in (2, J.

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