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


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
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In