考虑参数不确定性和相关性的电动汽车动力总成悬置系统稳健性优化  

Robustness optimization for the powertrain mounting system of electric vehicle considering parametric uncertainty and correlation

作　　者：吕辉 张家明 黄晓婷 上官文斌[1] 肖国权[1] LYU Hui;ZHANG Jiaming;HUANG Xiaoting;SHANGGUAN Wenbin;XIAO Guoquan(School of Mechanical and Automotive Engineering,South China University of Technology,Guangzhou 510641,China;School of Automobile and Traffic Engineering,Guangzhou City University of Technology,Guangzhou 510800,China)

机构地区：[1]华南理工大学机械与汽车工程学院,广东广州510641 [2]广州城市理工学院汽车与交通工程学院,广东广州510800

出　　处：《振动工程学报》2025年第2期375-382,共8页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(51975217);广东省自然科学基金资助项目(2023A1515011585)。

摘　　要：针对电动汽车动力总成悬置系统(PMS)参数同时具有不确定性和相关性的复杂情形,本文开展了考虑参数不确定性和相关性的电动汽车PMS稳健性优化设计研究。基于Nataf变换和蒙特卡罗抽样提出了一种概率参数相关情形下的PMS固有特性响应不确定性和相关性分析的Nataf-蒙特卡罗(NMC)方法;结合Nataf变换和任意多项式混沌展开推导了一种高效求解PMS响应不确定性和相关性的Nataf-任意多项式混沌展开(NAPCE)方法;基于NAPCE方法和相关系数赋权法提出了一种考虑响应不确定性和相关性的PMS稳健性优化设计方法;通过算例验证了所提方法的有效性,并对系统进行了稳健性优化。结果表明,以NMC方法作为参考,NAPCE方法在求解PMS固有特性响应的不确定性和相关性方面具有良好的计算精度和效率;提出的优化方法能够合理配置系统参数,提高系统稳健性。This study addresses the complex scenario where the parameters of the powertrain mounting system(PMS)of an elec-tric vehicle exhibit both uncertainty and correlation.A robust design optimization method for the PMS,considering parametric un-certainty and correlation,is investigated.Firstly,based on Nataf transform and Monte Carlo sampling,the Nataf-Monte Carlo(NMC)method is proposed for the uncertainty and correlation analysis of PMS inherent characteristics,where the probabilistic pa-rameters are correlated.Then,an efficient method,the Nataf-arbitrary polynomial chaos expansion(NAPCE)method,is derived for PMS response analysis by integrating Nataf transformation with arbitrary polynomial chaos expansion.Next,based on the NAPCE method and correlation coefficient weighting method,a robust design optimization method for PMS is developed,ac-counting for the uncertainty and correlation of responses.Finally,a numerical example is used to verify the effectiveness of the pro-posed method,and the robust optimization of the system is carried out.The results show that,compared to the NMC method,the NAPCE method offers good computational accuracy and efficiency for analyzing uncertainty and correlation in PMS responses.The proposed optimization method can configure the PMS parameters reasonably and improve the robustness of system.

关 键 词：电动汽车 动力总成悬置系统 Nataf变换 任意多项式混沌展开 稳健性优化 

分 类 号：U469.72[机械工程—车辆工程] U463.33[交通运输工程—载运工具运用工程]