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基于多维子平行六面体模型的可靠性分析方法及应用

Reliability Analysis Method Based on Multidimensional Sub-Parallelepiped Model and Its Application

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【作者】 吕辉钟顺江李振聪曹懿莎上官文斌赵克刚

【Author】 Lü Hui;Zhong Shunjiang;Li Zhencong;Cao Yisha;Shangguan Wenbin;Zhao Kegang;School of Mechanical and Automotive Engineering, South China University of Technology;CRAT Test & Certification Company Ltd.;

【通讯作者】 赵克刚;

【机构】 华南理工大学机械与汽车工程学院中汽检测技术有限公司

【摘要】 针对汽车结构系统中不确定参数同时具有大不确定度和相关性的问题,开展了基于多维子平行六面体模型的可靠性分析方法及其应用研究。首先,通过划分多维平行六面体模型的边界区间提出了一种多维子平行六面体模型,并将其用于描述系统的大不确定度参数;然后,将1阶摄动法与多维子平行六面体模型相结合,提出了一种适用于处理系统参数同时具有大不确定度和相关性的非概率不确定性分析方法;接着,基于不确定性分析方法,建立了系统可靠性分析模型并进行可靠性分析研究;最后,以汽车声固耦合系统、盘式制动器系统和电动车动力总成悬置系统为研究对象开展算例分析,分析了系统响应的不确定性和可靠性,验证了方法的有效性。相关分析结果表明:所提出的方法可有效地处理汽车结构不确定参数同时具有大不确定度和相关性的问题,并具有较高的计算精度和效率。

【Abstract】 For the problems that the large uncertainty and correlation coexist in the uncertain parameters of the automotive structural system, the reliability analysis method based on multidimensional sub-parallelepiped model and its application are investigated in this study. Firstly, a multidimensional sub-parallelepiped model is proposed by dividing the boundary intervals of multidimensional parallelepiped model, which is used to describe the system parameters with large uncertainty. Then, a non-probabilistic uncertainty analysis method is proposed by combining the first-order perturbation method with the multidimensional sub-parallelepiped model, which is suitable for handling the system parameters with large uncertainty and correlation. Next, the reliability analysis model of the system is established based on the uncertainty analysis method and the reliability analysis study is carried out. Finally, the automotive acoustic-structure coupling system, the disc brake system, and the powertrain mounting system of an electric vehicle are taken as the research objects to carry out numerical analysis. The uncertainty and reliability of the system response are analyzed, and the effectiveness of the proposed method is verified. The analysis results show that the proposed method can effectively deal with the problems with uncertain parameters involving large uncertainty and correlation, and the proposed method has high calculation accuracy and efficiency.

【基金】 国家自然科学基金(51975217);广东省自然科学基金(2023A1515010351)资助
  • 【文献出处】 汽车工程 ,Automotive Engineering , 编辑部邮箱 ,2023年06期
  • 【分类号】U461.7
  • 【下载频次】40
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