Multiple Time Scale Analysis of Hysteretic Systems Subjected to Harmonic Excitation.

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  • 調和励振を受けるヒステリシス系の多重尺度法による解析
  • チョウワレイシン オ ウケル ヒステリシスケイ ノ タジュウ シャクドホウ ニ

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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. A piecewise power series expression for hysteresis, which was derived from Wen's model assuming a sinusoidal response and weak hysteresis in the previous paper, is extended to the case of the response expressed in terms of constant and higher harmonic components. The method of multiple scales is applied to the equation of motion with the extended piecewise power series terms and the second order approximate solution for the case of primary resonance is obtained. Phase plane trajectories and resonance curves obtained from the solution are compared with the results of numerical simulations and the second order averaging analysis in order to examine the validity of the present analysis.

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