Shock Response of a Simple Beam on Nonlinear Supportsby Theodore R. Tauchert,
Robert S. Ayre,
Serial Information: Journal of the Engineering Mechanics Division, 1965, Vol. 91, Issue 6, Pg. 91-110
Document Type: Journal Paper
The dynamic response of an elastic, linear, symmetrical, uniform beam simply supported at both ends on identical nonlinear springs and subjected to transient excitation is investigated. Both softening and hardening nonlinearities are considered. The excitations include velocity shock and half-sine-pulse acceleration. The calculations were performed on a high-speed digital computer. Response spectra are presented which show the maxima of beam relative-displacements, accelerations, and bending moments plotted to emphasize the effects of the nonlinearities.
Subject Headings: Beams | Nonlinear response | Excitation (physics) | Symmetry | Linear functions | Elastic analysis | Computing in civil engineering | Transient response | Dynamic response
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