路面不平顺激励下车辆系统振动响应谱矩的简明封闭解  

Concise closed-form solution of vibration response spectral moment of vehicle system under road irregularity excitation

作　　者：李创第[1] 李宇翔 葛新广[1] LI Chuangdi;LI Yuxiang;GE Xinguang(School of Civil Engineering and Architecture,Guangxi University of Science and Technology,Liuzhou 545006,China)

机构地区：[1]广西科技大学土木建筑工程学院,广西柳州545006

出　　处：《广西科技大学学报》2021年第3期13-20,共8页Journal of Guangxi University of Science and Technology

基　　金：国家自然科学基金项目(51468005);广西科技大学研究生教育创新计划项目(GKYC202010)资助.

摘　　要：工程上常将路面不平顺看作具有零均值的平稳随机过程.针对路面不平顺激励下车辆系统随机振动响应无封闭解的问题,提出了一种简明封闭解法.综合运用复模态法和虚拟激励法将基于不平顺路面谱激励下的车辆系统的响应功率谱二次正交化,获得了车辆系统随机振动响应方差、0—2阶谱矩及绝对加速度方差的简明封闭解.运用本文方法对一类车辆系统的振动进行分析,并与虚拟激励法进行对比.研究表明本文方法所得方差和谱矩的封闭解法的正确性.Aiming at the problem that there is no closed-form solution for the random vibration response of vehicle system under the excitation of road roughness,a concise closed-form solution is proposed.Pavement irregularity is often regarded as a stationary stochastic process with zero mean value in engineering.In this paper,the complex mode method and virtual excitation method are used to orthogonalize the response power spectrum of vehicle system based on spectrum excitation of uneven pavement.The simple closed-form solutions of variance of random vibration response,0-2 order spectral moment and absolute acceleration variance of vehicle system are obtained.The vibration of a kind of vehicle system is analyzed by using this method and compared with the virtual excitation method.The results show that the closed-form solution of variance and spectral moment obtained by this method is correct.

关 键 词：路面不平顺 谱矩 简明封闭解 功率谱二次正交化 

分 类 号：U461.56[机械工程—车辆工程]