The Effect of Damping on Dynamic Snap-Through

[+] Author and Article Information
E. R. Johnson

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Va. 24061

J. Appl. Mech 47(3), 601-606 (Sep 01, 1980) (6 pages) doi:10.1115/1.3153740 History: Received March 01, 1979; Online July 21, 2009


Dynamic snap-through criteria are compared for an impulsively loaded shallow circular arch modeled as a Kelvin-Voigt material. The Budinasky-Roth criterion is used in conjunction with direct numerical integration of an approximate set of motion equations to obtain critical magnitudes of the load as a function of small viscous damping and the spatial distribution of the load. These critical magnitudes are compared to a lower bound estimate which is independent of the load distribution and damping. This lower bound is a stability-sufficiency condition formulated by Hsu. The presence of small damping significantly increases the critical magnitudes with respect to the undamped results for non-symmetric loading, and thus indicates the conservative nature of the lower bound.

Copyright © 1980 by ASME
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