柔性基础上迟滞干摩擦隔振系统的简化分析

SIMPLIFIED ANALYSIS OF HYSTERESIS DRY FRICTION VIBRATION ISOLATION SYSTEM ON FLEXIBLE FOUNDATION

工程实际中,柔性基础上非线性隔振系统广泛存在,而振动特性的分析却严重制约着其应用与研究。基于柔性基础上含有三次非线性刚度的迟滞干摩擦隔振系统,首先采用振型分离的方法建立了系统的动力学方程,并结合增量谐波平衡法求解了系统在发生任意阶主振动情况下的响应;随后,以基频谐波项为基础,推得了系统力传递率的计算公式,并根据公式定性分析了隔振器各参数对系统力传递率的影响。发现,适当减小刚度系数,增大阻尼系数,增大静摩擦极限均可有效降低系统的力传递率。研究为该类系统的工程实际应用提供了可靠借鉴。

In engineering practice,the non-linear vibration isolation systems are widely founded on the flexible foundation,and its application and research are seriously restricted to the analysis of vibration characteristic. First of all,basing on the hysteresis dry friction vibration isolation system which contains cubic nonlinear stiffness,a kinetic equation is derived by means of vibration separation method. Combing with the incremental harmonic balance method,the response of the system are obtained in the case that the flexible plate undergoes any order of main vibrations. Then,the formula of force transfer rate of the system is deduced basing on the fundamental harmonics term,and the influences of the parameters of the vibration isolator on the force transfer rate of the system are analyzed qualitatively according to the formula. It is found that the reduction of the stiffness coefficient,the increase of the damping coefficient and the increase of the static friction limit can effectively reduce the force transfer rate of the system. The research provides a reliable reference for the practical application of the system.