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RESEARCH PAPERS

Derivation of First-Order Difference Equations for Dynamical Systems by Direct Application of Hamilton’s Principle

[+] Author and Article Information
J. M. Vance, A. Sitchin

Department of Mechanical Engineering, University of Florida, Gainesville, Fla.

J. Appl. Mech 37(2), 276-278 (Jun 01, 1970) (3 pages) doi:10.1115/1.3408501 History: Received May 20, 1969; Revised December 05, 1969; Online April 06, 2010

Abstract

In dynamics problems where the equations of motion are eventually reduced to finite-difference equations for numerical integration on a digital computer, an auxiliary condition exists that permits the application of the Lagrangian multiplier method to Hamilton’s principle in order to obtain directly a set of first-order difference equations. These equations are equivalent to Hamilton’s canonical equations and are derived without the necessity to obtain the Hamiltonian or take time derivatives.

Copyright © 1970 by ASME
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