調和励振を受けるヒステリシス系の振動特性 : 二次の平均法による解析(機械力学,計測,自動制御)

概要

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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. A piecewise power series expression is derived from Wen's model assuming primary resonance and weak hysteresis. First and second order averaging methods are applied to the equation of motion with piecewise power series terms. Resonance curves obtained from the first and second order averaged equations are compared with the results of numerical simulations in order to examine the validity of the present analysis. It is also shown that chaotic behavior occurs in the hardening hysteretic system even when the excitation amplitude is not so large.
1997-06-25