The Use and Evaluation of Shock Spectra in the Dynamic Analysis of Structures

[+] Author and Article Information
L. M. Butzel

Naval Undersea Research and Development Center, Pasadena Laboratory, Pasadena, Calif.

H. C. Merchant

Department of Mechanical Engineering, University of Washington, Seattle, Wash.

J. Appl. Mech 40(2), 433-438 (Jun 01, 1973) (6 pages) doi:10.1115/1.3423002 History: Received February 01, 1972; Revised November 01, 1972; Online July 12, 2010


An important use of shock spectra is to make estimates of the maximum responses of linearly modeled multidegree-of-freedom structures to shock excitations. In this paper a lower-bound estimate to complement a well known upper bound on such a maximum response is proposed and examined. The conditions under which the estimate is a lower bound are delineated. The set of bounds is applied to an examination of the performance of two maximum response estimators in current use, the root-mean-square, and one which is a function of the root-mean-square and dominant mode. The results of an empirical study show that the estimators do not perform well except when the bounds are close together.

Copyright © 1973 by ASME
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