滑移系统随机振动非线性分析

Analyses for the nonlinearity of random vibration of sliding systems

基于蒙特卡洛模拟定量研究了高斯白噪声作用下线性恢复力滑移系统稳态响应的概率分布相对于高斯分布的偏离程度.模拟结果表明:滑移系统稳态响应的概率分布具有对称性;当激励强度和系统自振频率较小而摩擦系数较大时,稳态位移响应的概率分布接近正态分布;稳态速度响应的概率分布远离正态分布.

Based on the Monte Carlo simulation, the difference degree between Gauss distribution and the probability distributions of the steady-state responses of sliding systems with linear restoring force, to Gauss white noises, is quantitatively researched. Simulation results show that the probability distributions of the steady-state responses of sliding systems have syrametry; when the excitation intensity and self-vibration frequency of the systems are smaller and the friction coefficient is bigger, the probability distribution of the steady-state displacement approaches the normal distribution; and the one of the steady-state velocity approach the normal distribution is far from the normal distribution.