Incremental Harmonic Balance Method With Multiple Time Scales for Aperiodic Vibration of Nonlinear Systems

[+] Author and Article Information
S. L. Lau

Department of Civil and Structural Engineering, Hong Kong Polytechnic, Hong Kong

Y. K. Cheung, S. Y. Wu

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

J. Appl. Mech 50(4a), 871-876 (Dec 01, 1983) (6 pages) doi:10.1115/1.3167160 History: Received July 01, 1982; Revised February 01, 1983; Online July 21, 2009


An incremental harmonic balance method with multiple time scales is presented in this paper. As a general and systematic computer method, it is capable of treating aperiodic “steady-state” vibrations such as combination resonance, etc. Moreover, this method is not subjected to the limitation of weak nonlinearity. To show the essential features of the new approach, the almost periodic free vibration of a clamped-hinged beam is computed as an example.

Copyright © 1983 by ASME
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