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TECHNICAL PAPERS

Response of a Nonconservative Continuous System to a Moving Concentrated Load

[+] Author and Article Information
A. V. Pesterev

Institute of System Analysis, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, Moscow 117312, Russia

L. A. Bergman

Aeronautical and Astronautical Engineering Department, University of Illinois, Urbana, IL 61821

J. Appl. Mech 65(2), 436-444 (Jun 01, 1998) (9 pages) doi:10.1115/1.2789073 History: Received April 03, 1997; Revised November 07, 1997; Online October 25, 2007

Abstract

The problem of calculating the response of a general class of nonconservative linear distributed parameter systems excited by a moving concentrated load is investigated. A method of solution based on the series expansion of the response in terms of complex eigenfunctions of the continuous system is proposed. A set of ordinary differential equations in the time-dependent coefficients of the expansion is established in terms of the unknown force of interaction on the continuum, which allows one to investigate different models of concentrated loads. For the case of a conservative oscillator moving with arbitrarily varying speed, the coefficients of the equations are obtained in explicit terms. Some results of numerical experiments involving a proportionally damped beam are presented.

Copyright © 1998 by The American Society of Mechanical Engineers
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