Abstract
Dynamic behavior of smooth hysteretic systems subjected to harmonic excitation is analyzed. Wen's differential equation model for hysteresis, which can be applied to a large class of hysteretic systems, is used. Using the extended piecewise power series expression for hysteresis, the method of multiple scales is applied for the case of secondary resonance and the first and second order symmetric approximate solutions are obtained. The stability analyses for the solutions are also performed and the regions of non-symmetric solutions are determined. Obtained results are compared with those of numerical simulation and previous analysis using Floquet's theory and the method of harmonic balance in order to examine the validity of the present analysis.
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