Research Article
Dec 1965

Shock Response of a Simple Beam on Nonlinear Supports

Publication: Journal of the Engineering Mechanics Division
Volume 91, Issue 6

Abstract

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.

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Journal of the Engineering Mechanics Division
Volume 91Issue 6December 1965
Pages: 91 - 109

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Published in print: Dec 1965
Published online: Feb 3, 2021

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Theodore R. Tauchert, AM.ASCE
Asst. Prof., Dept. of Aerospace and Mechanical Sciences, Princeton Univ., Princeton, N. J.
Robert S. Ayre, M.ASCE
Prof. and Chmn., Dept. of Civ. Engrg., Univ. of Colorado, Boulder, Colo.; formerly, Prof. of Engrg., Yale Univ., New Haven, Conn.

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