Experimental Observation of Amplitude- and Phase-Modulated Responses of Two Internally Coupled Oscillators to a Harmonic Excitation

[+] Author and Article Information
A. H. Nayfeh

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061

L. D. Zavodney

Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio 43210

J. Appl. Mech 55(3), 706-710 (Sep 01, 1988) (5 pages) doi:10.1115/1.3125853 History: Revised April 05, 1988; Received July 31, 1988; Online July 21, 2009


An experiment is performed on a two degree-of-freedom mechanical system having quadratic nonlinearities and linear natural frequencies ω1 and ω2 approximately in the ratio of two-to-one (i.e., ω2 ≈ 2ω1 ). When the lower mode is excited by a harmonic excitation whose frequency Ω is nearly equal to ω1 , amplitude- and phase-modulated responses of the system have been observed for a range of the excitation frequency Ω, in qualitative agreement with the results of a second-order perturbation theory.

Copyright © 1988 by ASME
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