The Plastic Deformation of a Cantilever Beam With Strain-Rate Sensitivity Under Impulsive Loading

[+] Author and Article Information
Thomas C. T. Ting

Brown University, Providence, R. I.

J. Appl. Mech 31(1), 38-42 (Mar 01, 1964) (5 pages) doi:10.1115/1.3629567 History: Received February 21, 1963; Online September 15, 2011


This paper presents an analysis of the plastic deformation of a cantilever beam with an attached tip mass, based on the assumption of rigid-plastic behavior with strain-rate sensitivity, under an impulsive load at the tip. Numerical solutions of the equations of motion which appear as two nonlinear simultaneous integral equations are presented. The possibility of power-series expansion is also indicated. Finally, approximate solutions are given, and the results are compared with the more exact solutions and with experimental data.

Copyright © 1964 by ASME
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