Nonlinear Stresses and Deflections of Beams Subjected to Random Time Dependent Uniform Pressure

[+] Author and Article Information
P. Seide

Department of Civil Engineering, University of Southern California, Los Angeles, Calif.

J. Eng. Ind 98(3), 1014-1020 (Aug 01, 1976) (7 pages) doi:10.1115/1.3438993 History: Received May 23, 1975; Online July 15, 2010


The nonlinear mean-square multimode response of beams subjected to uniform pressure uncorrelated in time is investigated. The method of equivalent linearization is used to obtain mean-square stresses and displacements in beams with arbitrary end conditions. Calculations are carried out for beams with both ends either simply-supported or clamped, for the case of white noise excitation. Although the maximum displacement can be obtained with the use of only a single-degree-of-freedom model, it is necessary to consider as many as 100 modal functions for accurate determination of the stresses. The maximum mean-square deflection of the clamped beam is found to be somewhat less than the simply-supported beam, whereas the maximum mean-square stresses are as much as twice as large.

Copyright © 1976 by ASME
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