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RESEARCH PAPERS: Design Automation Papers

A New Analytical Approach for the Determination of the Transient Response in Elastic Mechanisms

[+] Author and Article Information
T. Xu, G. G. Lowen

Department of Mechanical Engineering, The School of Engineering of The City College and the Graduate School and University Center of the City University of New York, New York, NY 10031

J. Mech. Des 115(1), 119-124 (Mar 01, 1993) (6 pages) doi:10.1115/1.2919307 History: Received November 01, 1990; Online June 02, 2008

Abstract

Recent work on multi-regime per cycle machinery has shown that for such systems the transient response of the link deflections, which is governed by the homogeneous solution to a Hill-type differential equation, cannot be neglected in a meaningful simulation. Based on mathematical work by E. T. Whittaker, a new analytical approach for obtaining such transient responses is given. It is achieved by the determination of the characteristic exponent in the stable regions of the Floquet solution to the Hill’s equation involved. This technique is applied to a specific elastic mechanism. Several sample computations show that the transient response may vary from near-periodic to totally aperiodic.

Copyright © 1993 by The American Society of Mechanical Engineers
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