基于单自由度参数激励模型的车辆随机振动分析  

Vehicle random vibration analysis using a SDOF parametric excitation model

作　　者：朱大鹏[1] 薛如壮 曹兴潇 ZHU Dapeng;XUE Ruzhuang;CAO Xingxiao(School of Traffic and Transportation,Lanzhou Jiaotong University,Lanzhou 730070,China;School of Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学交通运输学院,兰州730070 [2]兰州交通大学机电工程学院,兰州730070

出　　处：《振动与冲击》2022年第2期79-86,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金(51765028);甘肃省自然科学基金(20JR5RA400)。

摘　　要：包装件振动可靠性的分析和优化需要构建高效准确的车辆随机振动载荷分析模型。该研究将车辆建模为单自由度参数激励系统,分析车辆在平稳载荷下的加速度响应。基于Mathieu方程分析车辆动态响应特性,结果表明,车辆响应中出现少量的大幅振动响应的原因是参数激励系统中随机过程β(t)的波动引起了系统的失稳。分别构建车辆在稳态、失稳和衰减条件下的响应分析方法,建立了车辆加速度响应的概率密度函数分析方法,构建了根据记录的试验数据识别系统参数的方法。分析结果表明,该研究建立的车辆随机振动分析方法能够高效准确地再现车辆非平稳随机振动的时域特征及概率密度函数(probability density function,PDF),为研究包装件振动可靠性提供了高效准确的分析基础。An analytical model for vehicle vibration analysis with efficiency and accuracy is essential for package vibration reliability analysis and optimization.The vehicle was modeled as a single degree of freedom parametric excitation system,and the acceleration response of the vehicle excited by stationary loads was analyzed.The response characteristics of the parametric system were studied analytically by use of the Mathieu’s equation.From the analysis,it is observed that the fluctuation of stochastic processβ(t)in the parametric excitation system may give rise to the instability of vehicle response,which is the intrinsic reason of the rare large magnitude response of the vehicle.The methods for analysing the vehicle responses under steady condition,instability condition and decay condition were proposed respectively,the parameter identification procedure for the parametric excitation system was also given.The simulation results indicate that one can simulate the vehicle vibration accurately using the proposed parametric excitation model,and the results are in good agreement with the experimental data in time domain and probability density function(PDF)analyses.The model provides an analytical basis for accurate and efficient vibration reliability analysis of packages.

关 键 词：包装件振动可靠性分析 参数激励模型 MATHIEU方程 系统参数识别 

分 类 号：TB485.3[一般工业技术—包装工程]