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RESEARCH PAPERS

A Variable Parameter Incrementation Method for Dynamic Instability of Linear and Nonlinear Elastic Systems

[+] Author and Article Information
S. L. Lau, Y. K. Cheung, S. Y. Wu

Department of Civil Engineering, University of Hong Kong, Hong Kong

J. Appl. Mech 49(4), 849-853 (Dec 01, 1982) (5 pages) doi:10.1115/1.3162626 History: Received August 01, 1981; Revised April 01, 1982; Online July 21, 2009

Abstract

A variable parameter incrementation method is proposed and then applied to the determination of parametric instability boundary of columns. Attention is particularly paid to the geometrically nonlinear problems including the instability of nonlinear vibrations. Although only beam and column problems are treated at present, the approach is believed to be general in methodology. This method is not subjected to the limitations of small exciting parameters and weak nonlinearity.

Copyright © 1982 by ASME
Topics: Vibration
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