Nonlinear Vibrations of Piecewise-Linear Systems by Incremental Harmonic Balance Method

[+] Author and Article Information
S. L. Lau, W.-S. Zhang

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

J. Appl. Mech 59(1), 153-160 (Mar 01, 1992) (8 pages) doi:10.1115/1.2899421 History: Received May 02, 1989; Revised July 27, 1990; Online March 31, 2008


The incremental harmonic balance (IHB) method is extended to analyze the periodic vibrations of systems with a general form of piecewise-linear stiffness characteristics. An explicit formulation has been worked out. This development is of significance as many structural and mechanical systems of practical interest possess a piecewise-linear stiffness. Typical examples show that the IHB method is very effective for analyzing this kind of systems under steady-state vibrations.

Copyright © 1992 by The American Society of Mechanical Engineers
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