Nonlinear vibrations of piecewise-linear systems by incremental harmonic balance method. (English) Zbl 0850.70247

Lau, S. L.; Zhang, W.-S.

J. Appl. Mech. 59, No. 1, 153-160 (1992).

Summary: 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.

MSC:

70K40	Forced motions for nonlinear problems in mechanics
74H45	Vibrations in dynamical problems in solid mechanics