建立了钢丝绳减振器非线性滞迟振动系统在基础激励和简谐力激励共同作用下的微分方程,运用Fourier级数展开法和谐波平衡法相结合的方法推导出相应的频响方程,利用Matlab对频响方程进行数值求解,做出各自的图形,得出了质量、阻尼、刚度和滞迟力对其频响特性的影响,分别都表现出了其强非线性,在低频阶段表现出渐软特性,在高频区域表现渐硬特性。质量、阻尼和刚度对系统频响特性的影响规律都不相同,但是都表现出一致的单调性,滞迟力没有表现出这种特性。%In this study ,the differential equations of a wire cable isolator are established under the joint action of basic excitation and harmonic force .T he corresponding frequency response e‐quations are then derived ,and their numerical solutions are obtained by using MATLAB .The frequency‐amplitude relations ,which reflect the effect of mass ,damping ,nonlinear stiffness coef‐ficient and linear stiffness on the frequency respouse characteristics of the wire cable isolator ,ex‐hibit similar and consistent monotonicity .The hysteretic force does not show regularity .In the lower frequency range ,the curve shows the softening characteristics ,while displaying hardeing characteristic within the higher frequency domain .The amplitude curve independently increases or decreases as frequency changes ,thus indicating softening or hardening of nonlinear characteris‐tics .
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