Response of Periodic Systems to a Moving Load

[+] Author and Article Information
L. Jezequel

Department of Mechanical Engineering, Ecole Centrale de Lyon, 36 route de Dardilly, Ecully, 69130, France

J. Appl. Mech 48(3), 613-618 (Sep 01, 1981) (6 pages) doi:10.1115/1.3157683 History: Received May 01, 1980; Revised April 01, 1981; Online July 21, 2009


The motion of a beam or a plate resting on an elastic foundation and subjected to a moving load has been studied by numerous authors. But the extension of these studies to the case of periodic structures is difficult. In this paper, a method allowing the calculation at low numerical cost of periodically supported beams subjected to a moving force, is proposed. The interpretation of this method on the basis of the free-wave propagation equations in periodic structures has led to the definition of the predominant, so-called “primary,” critical speeds. Individual examples were used to test the method. It was also possible to define the limits of a Winkler continuous model in representing the support reactions.

Copyright © 1981 by ASME
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