随机与区间混合不确定情形下动力总成悬置系统的固有特性分析

Natural characteristics of PMS with random and interval hybrid uncertainties

工程实际中,汽车动力总成悬置系统(Powertrain Mount System,PMS)不可避免地存在着各种不确定因素。针对PMS一部分参数信息充足而另一部分参数信息匮乏的情形:将样本信息充足的参数视为随机变量,而将信息匮乏的参数处理为区间变量;提出了一种求解PMS固有特性混合响应的混合蒙特卡洛法;进一步,结合泰勒展开、随机矩法和中心差分法提出了一种快速求解PMS固有特性混合响应的混合摄动-中心差分法;通过算例验证了方法的有效性,并分析了混合不确定性对PMS固有特性的影响。

In engineering practice,various uncertainties inevitably exist in powertrain mount system(PMS)of vehicles.Here,aiming at cases of parts of PMS parameters’information being sufficient while other parts of PMS parameters’being deficient,firstly,PMS parameters with sufficient information were taken as random variables,while PMS parameters with deficient information were treated as interval variables.Then,the hybrid Monte-Carlo method(HMCM)was proposed to solve natural characteristics hybrid response of a PMS.Furthermore,the hybrid perturbation-central difference method(HPCDM)was proposed to quickly solve natural characteristics hybrid response of a PMS through combining Taylor expansion,random moment method and central difference one.Finally,the effectiveness of the proposed methods was verified with a numerical example,and effects of hybrid uncertainties on natural characteristics of PMS were analyzed.