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

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.


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