Mathematical Problems in Engineering

Mathematical Problems in Engineering / 2002 / Article

Open Access

Volume 8 |Article ID 381690 | https://doi.org/10.1080/10241230215286

Oliver M. O'reilly, Arun R. Srinivasa, "On potential energies and constraints in the dynamics of rigid bodies and particles", Mathematical Problems in Engineering, vol. 8, Article ID 381690, 12 pages, 2002. https://doi.org/10.1080/10241230215286

On potential energies and constraints in the dynamics of rigid bodies and particles

Received02 Oct 2001

Abstract

A new treatment of kinematical constraints and potential energies arising in the dynamics of systems of rigid bodies and particles is presented which is suited to Newtonian and Lagrangian formulations. Its novel feature is the imposing of invariance requirements on the constraint functions and potential energy functions. These requirements are extensively used in continuum mechanics and, in the present context, one finds certain generalizations of Newton's third law of motion and an elucidation of the nature of constraint forces and moments. One motivation for such a treatment can be found by considering approaches where invariance requirements are ignored. In contrast to the treatment presented in this paper, it is shown that this may lead to a difficulty in formulating the equations governing the motion of the system.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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