空间时间域路面行驶车辆的演变随机响应分析

Evolutionary stochastic response analysis for a road vehicle in spatial-time domain

介绍在空间频率-时间域计算随机路面行驶车辆演变随机振动响应功率谱的方法。根据积分变换调制路面对行驶车辆的随机激励,利用行驶车辆的行程与持续时间的确定性关系确定随机激励与响应的功率谱,在实数域用确定性振动响应分析结果预测演变随机响应功率谱。给出随机路面行驶四轮车在空间频率-时间域的激励功率谱矩阵和计算机仿真结果。研究表明:只要车辆的行驶速度是持续时间的确定性函数,就能将路面对车辆在空间域的平稳激励转化为在时间域的演变随机过程;在实数域预测行驶车辆演变随机振动响应功率谱的方法是可行的。

A method was presented for evaluating evolutionary power spectral density（PSD） of vehicle responses to random road excitations in spatial frequency-time domain.The stochastic road excitation was modulated in accordance with an integral transformation,the PSD formulas of road excitations and vehicle responses were derived using the certainty relationship between traveling distance and time duration,and the stochastic response PSD of a road vehicle was predicted using the simulation results of the certainty vibration in real field.The PSD matrix of road excitations and some simulated results for a road four-wheel cars in spatial frequency-time domain were given.The results showed that if the traveling speed of the vehicle is a certainty function of time,the spatial stationary excitations of road can be converted into an evolutionary random process in time domain;this method is feasible for predicting evolutionary response PSD of a road vehicle in real field.