A Conservation Theorem for Simple Nonholonomic Systems

[+] Author and Article Information
T. R. Kane

Stanford University, Stanford, Calif. 94305

A. K. Banerjee

Lockheed Missiles and Space Company, Sunnyvale, Calif.

J. Appl. Mech 50(3), 647-651 (Sep 01, 1983) (5 pages) doi:10.1115/1.3167104 History: Received February 01, 1983; Online July 21, 2009


When the Hamiltonian of a holonomic system is free of explicit time dependence it remains constant throughout all motions of the system. In this paper, it is shown how, given a homogeneous simple nonholonomic system S, one can form a function E that remains constant throughout all motions of S, providing the forces acting on S fulfill certain requirements. An illustrative example is examined in detail.

Copyright © 1983 by ASME
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