含间隙迟滞非线性系统的稳态响应

Steady-state Response of a Hysteretic Nonlinear System with Clearance

提出一种含间隙弹性约束的干摩擦迟滞非线性系统模型。利用谐波线性化方法,将迟滞恢复力转化为等效刚度和等效阻尼表示,利用K-B平均法求出周期激励下系统响应的一次近似解。研究表明,该模型综合了两种非线性因素,幅频响应复杂,幅频曲线分为两类,不同参数条件下可以表现出分段线性系统的硬特性、迟滞系统的软化特性或二者的综合,存在跳跃现象。通过幅频图的对比分析,讨论各参数变化对动力学特性的影响。

A dry friction damped vibration system with elastic stops model is established. By using harmonic linearization method the nonlinear hysteretic restoring force is expressed as equivalent damping and equivalent stiffness. The first order approximation of steady-state response of system subjected to a sinusoidal excitation is investigated by means of the Kryov-Bogoliubov method. The analysis shows that the amplitude-frequency characteristic of system could be classified into two kinds which represent hysteretic nonlinearity, piecewise linear nonlinearity or the combination of the both in the different conditions of various parameters. Furthermore, the phenomena of jump could be observed. The influence of changing each parameter upon the amplitude-frequency curve is discussed.