Experiments on Nonlinear Dynamic Behavior of an Oscillator With Clearance and Periodically Time-Varying Parameters

[+] Author and Article Information
A. Kahraman, G. W. Blankenship

General Motors Corporation, Powertrain Division, 37350 Ecorse Road, Romulus, MI 48174-1376

J. Appl. Mech 64(1), 217-226 (Mar 01, 1997) (10 pages) doi:10.1115/1.2787276 History: Received November 11, 1995; Revised June 03, 1996; Online October 25, 2007


A number of experiments on a physical system with clearance having combined parametric and external forcing excitation are presented. The data demonstrate several nonlinear phenomena that exist in periodically excited oscillators subject to clearance at a contact interface. Jump discontinuities in forced response curves are shown to exist and subharmonic resonances which are formed by period-n (nT) motions with n ≥ 2 are demonstrated. Long-period subharmonic motions with periods as long as nine times the excitation period are reported. Finally, several cases of measured chaotic motions are also illustrated through time-traces, phase portraits, Fourier spectra, and Poincare plots which form strange attractors.

Copyright © 1997 by The American Society of Mechanical Engineers
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