基于多边凸集模型的电动汽车悬置系统分析

Analysis of Electric Vehicle Mounting System Based on Polygonal Convex Set Model

工程实际中,电动汽车悬置系统参数存在着一定的不确定性和相关性.首先,引入基于主成分分析的多边凸集模型,有效处理了系统不确定参数同时存在相关性和独立性的复杂情形;然后,结合蒙特卡洛法提出了一种悬置系统固有特性的不确定性分析方法,并给出了方法的具体分析步骤;最后,将方法应用于某电动乘用汽车的悬置系统分析,以验证方法的有效性.数值分析结果表明:相较于未考虑参数相关性的区间方法,所提出方法求得的系统固有特性响应范围更加合理;与基于多维平行六面体模型的分析方法对比,所提出方法能更有效地处理系统不确定参数样本分布边界不规则的情形;对于所研究模型,其右、前悬置点的刚度参数相关性对系统固有特性有较大的影响,在设计研究过程中应予以重视.

In engineering practice,the parameters of the electric vehicle mounting system inevitably have certain uncertainties and correlations.Firstly,a polygonal convex set model based on principal component analysis is introduced to effectively deal with the complex situation where the uncertain parameters of the system are correlated and independent at the same time;then,an uncertainty analysis method for the inherent characteristics of the mounting system is proposed in combination with the Monte Carlo method,and the specific analysis steps of the method are given;finally,the method is applied to the analysis of the mounting system of an electric passenger car to verify the effectiveness of the method.The results of numerical analysis show that the response range of the inherent characteristics of the system obtained by the proposed method is more reasonable than that of the interval method without considering the parameter correlation;compared with the analysis method based on the multidimensional parallel hexahedron model,the proposed method can more effectively deal with the case of irregular boundary distribution of the uncertain parameter samples of the system;for the studied model,the correlation of the stiffness parameters of the right and front mounting points has a greater influence on the inherent characteristics,which should be paid attention to in the design research process.