Simulation of Wire Cable Isolator Parameters and Their Comparison under Basic Action and Harmonic Force

基礎激勵及簡諧激勵下 鋼絲繩減振器物理參數 對頻響特性的模擬比較

趙燕萍(Yan-Ping Zhao) ； 路國運(Guo-Yun Lu) ； 趙子龍(Zi-Long Zhao)

《中國機械工程學刊》 37卷2期 (2016/04) Pp. 137-145

摘要

本文建立了鋼絲繩減振器在基礎激勵、簡諧力激勵作用下振動微分方程，運用Fourier級數展開法和諧波平衡法相結合的方法推導出相應的頻響方程，使用MATLAB對頻響方程進行數值求解，分別討論了品質、阻尼、剛度、滯遲力對其頻響特性的影響。品質、阻尼以及剛度都表現出了相似的單調性，滯遲力沒有表現出這種規律。頻響曲線中幅值隨著頻率的變化趨勢，顯示漸軟或漸硬的特性。數值類比結果準確地顯示了在簡諧力與基礎激勵下頻響曲線不同的變化規律。說明鋼絲繩減振器具有非線性特性。

並列摘要

In this study, the differential equations of a wire cable isolator are established separately under basic excitation and harmonic force. The corresponding frequency response equations are then derived, and their numerical solutions are obtained by using MATLAB. The frequency-amplitude relations of mass, damping, nonlinear stiffness coefficient and linear stiffness to the wire cable isolator exhibit similar and consistent monotonicity. The hysteretic force has not shown regularity. The amplitude curve independently increases or decreases as frequency changes, thus indicating softening or hardening of nonlinear characteristics. The numerical simulation results provide a satisfactory estimate under harmonic force and basic excitation of the isolation system within a relative domain. The aforementioned curves represent obvious and irregular fluctuation responses respectively, of the mechanical model. Thus, a conclusion can be drawn that the two DOF wire cable isolator exhibits nonlinearity.

並列關鍵字

Wire cable isolator ； Harmonic force ； Basic excitation ； Frequency amplitude characteristic