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RESEARCH PAPERS

A Modified, Slowly Varying Parameter Approach for Systems With Impulsive Loadings

[+] Author and Article Information
Nicholas P. Jones

Department of Civil Engineering, The Johns Hopkins University, Baltimore, MD 21218-2699

Harry W. Shenton

National Institute of Standards and Technology, Gaithersburg, MD 20899

J. Appl. Mech 58(1), 251-258 (Mar 01, 1991) (8 pages) doi:10.1115/1.2897160 History: Received January 23, 1989; Revised November 03, 1989; Online March 31, 2008

Abstract

Many oscillating systems in practice are subject to periodic, impulsive loads during their motion. For nonlinear systems traditional methods, such as the slowly varying parameter technique, have been used to study the response of such systems by “smearing“ the effect of the impulse over one cycle of the oscillation. Unfortunately, in many instances this approach violates the basic assumption used in the application of the averaging technique, resulting in limited predictive capability. This paper presents a modification to the standard slowly varying parameter technique for nonlinear systems which addresses this problem by assuming a solution form which admits a discontinuity in velocity at the time the impulse is applied. Examples are given which outline the improvement in accuracy of the new technique.

Copyright © 1991 by The American Society of Mechanical Engineers
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