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

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

针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。

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.