黄晓婷 杨坤 毛海宽 吕辉

摘 要：針对汽车动力总成悬置系统参数同时存在不确定性和相关性的复杂情形，提出了一种汽车动力总成悬置系统固有频率和解耦率的不确定性分析方法。首先，基于多维平行六面体模型对具有不确定性和相关性的系统参数进行描述;其次，结合正则化、泰勒级数展开和中心差分法等方法，计算悬置系统固有频率和解耦率的不确定性响应;再次，给出方法的具体分析步骤;最后，以蒙特卡洛法作为参考方法进行对比验证。结果表明，悬置系统不确定性参数的相关性对系统固有特性响应有一定影响。所提方法在求解系统不确定性响应方面表现出较高的计算精度和计算效率，可为汽车动力总成悬置系统固有特性的计算、评估和优化设计提供参考。

关键词：机械动力学与振动;动力总成悬置系统;多维平行六面体模型;固有特性;不确定性;相关性

中图分类号：TN958.98   文献标识码：A

doi：10.7535/hbkd.2021yx04001

收稿日期：2021-03-30;修回日期：2021-04-23;责任编辑：冯 民

基金项目：国家自然科学基金（51975217， 51605167）;广东省自然科学基金（2020A1515010352）

第一作者简介：黄晓婷（1988—），女，广东广州人，讲师，硕士，主要从事汽车NVH分析与控制方面的研究。

通讯作者：吕 辉副教授。E-mail：melvhui@scut.edu.cn

黄晓婷，杨坤，毛海宽，等.一种考虑参数不确定性和相关性的悬置系统固有特性分析方法[J].河北科技大学学报，2021，42（4）：319-326.HUANG Xiaoting，YANG Kun，MAO Haikuan， et al.A method for inherent characteristics analysis of powertrain mounting systems by considering parametric uncertainty and correlation[J].Journal of Hebei University of Science and Technology，2021，42（4）：319-326.

A method for inherent characteristics analysis of powertrain mounting systems by considering parametric uncertainty and correlation

HUANG Xiaoting1，YANG Kun2，MAO Haikuan2，LYU Hui 2

（1.Guangzhou College，South China University of Technology，Guangzhou，Guangdong 510800，China;2.School of Mechanical and Automotive Engineering，South China University of Technology，Guangzhou，Guangdong 510641，China）

Abstract：In order to deal with the complex situation that parametric uncertainty and correlation coexist in the automotive powertrain mounting system （PMS），an uncertainty analysis method for calculating the natural frequency and decoupling rate of PMS was proposed.In the proposed method，the multi-dimensional parallelepiped model was firstly constructed to describe the PMS parameters with uncertainty and correlation.Then，the uncertain responses of the natural frequency and decoupling rate were calculated by integrating the regulation technique，Taylor series expansion and central difference method.Next，the analysis procedure of the proposed method was presented.Finally，the Monte Carlo method was used as a reference method for comparison and verification.The numerical analysis results show that the correlation of uncertain parameters of PMS has a certain influence on the inherent characteristics of the system.The method presents acceptable computational accuracy and higher computational efficiency in solving the uncertain response of PMS，which provides important reference for the calculation，evaluation and optimization design of the inherent characteristics of automotive PMS.

Keywords：

mechanical dynamics and vibration;powertrain mounting system;multidimensional parallelepiped model;inherent characteristics;uncertainty;correlation

工程实际中，受生产加工、测量误差、磨损、疲劳老化和复杂工况等主客观因素的影响，汽车结构系统，包括动力总成悬置系统（powertrain mounting system，PMS）[1-4]，往往存在众多不确定性因素。……