On the Response of Linear Systems to Time-Dependent, Multidimensional Loadings

[+] Author and Article Information
F. P. Beer

Department of Mechanics, Lehigh University, Bethlehem, Pa.

J. Appl. Mech 28(1), 50-56 (Mar 01, 1961) (7 pages) doi:10.1115/1.3640466 History: Received November 10, 1959; Online September 16, 2011


The concept of frequency response, which has long been used by communication engineers to predict the response of a linear system to a periodic, nonperiodic, or random input, is extended to the general case of a linear mechanical system subjected to a time-dependent, multidimensional loading. Various possible methods for determining the transfer function of a given system are examined. One method is given special attention; it is based on the cross correlation in space and time of the response of the given system to a multidimensional random load field with the response of another system to the same field.

Copyright © 1961 by ASME
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