Abstract
A single-degree-of-freedom non-linear system subjected to periodic excitation is considered. The non-linearity is in the restoring force and is represented by unsymmetrical piecewise-linear stiffness. The steady state response are analysed by an extended incremental harmonic balance (IHB) method. All possible subharmonic, harmonic and superharmonic resonances and bifurcations are sought. The results reveal some interesting details of responses of unsymmetrical piecewise-linear systems. Comparisons with available published findings are also made.
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