Dynamics of Plate Generated by Moving Harmonic Loads

[+] Author and Article Information
Lu Sun

Department of Civil Engineering, The Catholic University of America, Washington, DC 20064sunl@cua.edu

J. Appl. Mech 72(5), 772-777 (May 20, 2005) (6 pages) doi:10.1115/1.1993669 History: Received October 17, 2003; Revised May 20, 2005

A thin plate resting on a Winkler elastic foundation subject to a moving harmonic load can be used as the model for highway and airport pavement under moving vehicle load and many other applications. The study of dynamic response of the plate thus becomes very important. In this paper we study the dynamic displacement of a plate caused by a moving harmonic line and point load. The solution is represented by the convolution of dynamic Green’s function of plate. An approximate relationship between critical load velocity and critical frequency is established analytically. It is found that the maximum displacement response occurs at the center of the moving load and travels at the same speed with the load.

Copyright © 2005 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 2

Three-dimensional dynamic frequency response function (left: r0=1×10−5m, υ=30m∕s, Ω=10Hz; right: r0=1m, υ=30m∕s, Ω=10Hz)

Grahic Jump Location
Figure 1

First order derivatives of functions f1(ξ) and f2(ξ)



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