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.
Shock Response of a Nonlinear System
Y. C. Fung,
Y. C. Fung
California Institute of Technology, Pasadena, Calif.
M. V. Barton
Engineering Mechanics Laboratory, Space Technology Laboratories, Inc., Los Angeles, Calif.
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Fung, Y. C., and Barton, M. V. (September 1, 1962). "Shock Response of a Nonlinear System." ASME. J. Appl. Mech. September 1962; 29(3): 465–476. https://doi.org/10.1115/1.3640590
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