摘要
工程实际中,汽车动力总成悬置系统(Powertrain mounting systems,PMS)可能存在如下的混合不确定性情形:一部分参数因样本信息充足可视为随机变量,另一部分参数因存在模糊特性而视为模糊变量。引入随机与模糊混合不确定性模型描述PMS同时具有随机和模糊变量的不确定情形,提出了一种PMS混合不确定性传播分析的蒙特卡洛法;为提升计算效率,基于泰勒展开和中心差分法推导了一种快速求解PMS混合不确定性传播的混合摄动中心差分法。基于模糊可靠性分析理论和准则提出了一种PMS混合不确定性响应的可靠性分析方法;通过数值算例验证了方法的有效性。
In engineering practice,the following uncertain case may exist in the automotive powertrain mounting system(PMS):some system parameters can be treated as random variables due to sufficient information,whereas the other parameters just can be regarded as fuzzy variables owing to ambiguous information.In this paper,the random and fuzzy hybrid uncertain model is introduced to describe the uncertain parameters of PMS,in which both random and fuzzy variables are involved.Firstly,the Monte Carlo method for hybrid uncertainties propagation was proposed to compute the inherent characteristics of PMS.Then,in order to improve computational efficiency,this paper proposed a hybrid perturbed-central difference method for hybrid uncertainties propagation derived to fast compute the inherent characteristics of PMS based on Taylor expansion and central difference technique.Afterwards,a reliability analysis method is developed to address the hybrid uncertainties responses of PMS based on fuzzy reliability analysis theory and three sigma principles.The effectiveness of the proposed method is finally verified by numerical example.
作者
黄晓婷
郑泽滨
郑静远
吕辉
HUANG Xiaoting;ZHENG Zebin;ZHENG Jingyuan;LV Hui(School of Automobile and Traffic Engineering,Guangzhou City University of Technology,Guangzhou 510800,Guangdong,China;School of Mechanical and Automotive Engineering,South China University of Technology,Guangzhou 510641,Guangdong,China)
出处
《西南科技大学学报》
CAS
2021年第3期72-80,共9页
Journal of Southwest University of Science and Technology
基金
国家自然科学基金(51975217,51605167)
广东省自然科学基金(2020A1515010352)。
