Shock Response of a Nonlinear System

[+] Author and Article Information
Y. C. Fung

California Institute of Technology, Pasadena, Calif.

M. V. Barton

Engineering Mechanics Laboratory, Space Technology Laboratories, Inc., Los Angeles, Calif.

J. Appl. Mech 29(3), 465-476 (Sep 01, 1962) (12 pages) doi:10.1115/1.3640590 History: Received June 06, 1961; Online September 16, 2011


The dynamic response of a nonlinear, single-degree-of-freedom spring-mass system to shock loading is investigated. A specific value of the maximum deflection is chosen as a characteristic quantity called the “maximum allowable deflection”—which forms the starting point for a simplified presentation of the analytical results. The shock-response characteristics of each nonlinear system is compared with that of an associated linear system. In particular, the ratio of the magnitudes of the loads applied as a pulse to produce the same maximum allowable deflection in a nonlinear system and its associated linear system is defined as the “loading ratio.” This loading ratio, in combination with the usual “shock spectrum” for a linear system, can be used to determine the maximum dynamic load which a nonlinear system can withstand without exceeding the allowable deflection. A number of other engineering applications will be discussed also.

Copyright © 1962 by ASME
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