钢丝绳隔振器系统三向稳态响应的等效线性化分析

Equivalent linearization analysis of three-mode steady state response of wire-cable vibration isolator system

针对钢丝绳隔振器非线性系统稳态响应求解方法耗时较长、分析效率较低的问题,本文建立了钢丝绳隔振器-质量块非线性系统的三向动力学模型,分析了量纲归一化Bouc-Wen模型极限环耗散能量,提出了钢丝绳隔振器三向稳态系统频率响应特性的等效线性化方法,并通过数值仿真和多谐波平衡法进行了有效性验证。结果表明:拉压、剪切及横滚三个承载方向,等效线性化、数值仿真和多谐波平衡法所得含钢丝绳隔振器非线性系统的稳态响应曲线一致,验证了等效线性化分析其系统稳态响应的有效性和准确性;等效线性化计算耗时最少,分析速度远远高于数值仿真和多谐波平衡法,能够显著提高非线性隔振系统的设计效率。

In view of the low efficiency of the common methods for analyzing the steady state response of the nonlinear system of the wire-cable vibration isolator. The three-mode dynamic model of the wire-cable vibration isolator mass block nonlinear system was established. The energy dissipation of hysteretic damping described by the normalized Bouc-Wen model was studied. An equivalent linearization analysis method for the frequency response characteristics of the steady state system in three modes was proposed. And numerical simulations and Multi-harmonic balancing(MHB) method were carried out to verify the proposed method. Research indicated that the results of the proposed method are basically consistent with with those of the other two methods, and can accurately and effectively analyze the steady-state response of the system.Moreover, the proposed method is much more efficient than the others, and can improve the design efficiency of nonlinear vibration isolation system.