Probabilistic Description of the Response of Linear Structures to Random Inputs

[+] Author and Article Information
V. J. Kouskoulas

Department of Civil Engineering, Wayne State University, Detroit, Mich.

W. C. Hurty

University of California, Los Angeles, Calif.

J. Appl. Mech 37(3), 617-622 (Sep 01, 1970) (6 pages) doi:10.1115/1.3408589 History: Received December 09, 1968; Revised December 22, 1969; Online July 12, 2010


This paper considers a probabilistic description of the random response of linear structures which is described by a finite number of coordinates. Such a description differs from those available in the literature, where random response is usually either assumed Gaussian or is described on the basis of correlation and spectral theories of random functions; it is based on the response probability density distribution freed from the previous assumptions. The development of the response density function is the main task of this work. Given the characteristics of a structure and the density distribution of a random input, stationary or nonstationary, a response density distribution is derived.

Copyright © 1970 by ASME
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