On the Dynamic Response of a Beam to a Randomly Moving Load

[+] Author and Article Information
J. K. Knowles

Division of Engineering and Applied Science, California Institute of Technology, Pasadena, Calif.

J. Appl. Mech 35(1), 1-6 (Mar 01, 1968) (6 pages) doi:10.1115/1.3601165 History: Received May 01, 1967; Online September 14, 2011


The problem considered is that of an infinitely long elastic beam subject to a moving concentrated force whose position is a stochastic function of time, X(t). The expected deflection and expected bending moment are analyzed, with special attention being given to the case of a stationary process X(t) and to the case in which X(t) is a Wiener process.

Copyright © 1968 by ASME
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