考虑不确定参数相关性的动力总成悬置系统固有特性分析  

Inherent characteristics analysis of powertrain mounting systems considering the correlation of uncertain parameters

作　　者：吕辉 杨坤 上官文斌[1] 于德介[2] 薄韬 LU Hui;YANG Kun;SHANGGUAN Wen-bin;YU De-jie;BO Tao(School of Mechanical and Automotive Engineering,South China University of Technology,Guangzhou 510641,China;State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Hunan University,Changsha 410082,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]湖南大学汽车车身先进设计制造国家重点实验室,湖南长沙410082

出　　处：《振动工程学报》2020年第6期1199-1207,共9页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(51975217,51605167);广东省自然科学基金资助项目(2020A1515010352);广州市科技计划项目(201804010092);中央高校基本科研业务费资助项目(2019MS058)。

摘　　要：为研究悬置刚度参数的不确定性和相关性对系统固有特性的影响,提出了一种基于多椭球凸模型的动力总成悬置系统固有频率和解耦率分析方法。该方法采用多椭球凸模型描述系统各悬置的三向刚度参数,基于泰勒级数展开、拉格朗日乘子法及中心差分法,计算系统固有频率和解耦率的不确定变化范围,并以蒙特卡洛法作为参考验证分析结果的有效性。算例分析结果表明:在考虑不确定参数的相关性时,该方法可精确、高效地计算出固有频率和解耦率的变化范围。此外,与不考虑相关性的区间方法相比,此方法可求得更为合理的频率和解耦率响应范围。Due to the effect of manufacturing/assembly/measurement errors and material aging,uncertainty widely exists in the powertrain mounting system(PMS)of a vehicle.There also exists some correlation between the stiffness parameters of mounts.In order to investigate the influence of parametric uncertainty and correlation on the natural frequencies(NFs)and decoupling ratios(DRs)of the PMS,an efficient analysis method is proposed based on multi-ellipsoid convex model.In the proposed method,the multi-ellipsoid convex model is employed to handle the stiffness parameters of mounts,and then the uncertain responses of NFs and DRs are calculated by integrating Taylor series expansion,Lagrangian multiplier method and central difference scheme.Monte-Carlo method is taken as a reference method to verify the calculation results.Numerical analysis results show that the proposed method is capable of computing the interval responses of NFs and DRs in an accurate and efficient way in the case of taking the correlation of uncertain parameters into account.Furthermore,the proposed method can obtain more reasonable results of NFs and DRs,compared with the interval method which does not consider parametric correlation.

关 键 词：动力总成悬置系统 椭球凸模型 固有频率 解耦率 不确定性分析 

分 类 号：U463.51[机械工程—车辆工程]