汽车制动器系统稳定性响应的不确定性和相关性分析  

Uncertainty and correlation analysis for the stability responses of automotive brake systems

作　　者：吕辉 杨超[1] 上官文斌[1] 于德介[2] 赵克刚[1] LU Hui;YANG Chao;SHANGGUAN Wen-bin;YU De-jie;ZHAO Ke-gang(School of Mechanical and Automotive Engineering,South China University of Technology,Guangzhou 510641,China;State Key Laboratory of Advanced Design and Manufacturing for Vehicle,Hunan University,Changsha 410082,China)

机构地区：[1]华南理工大学机械与汽车工程学院,广东广州510641 [2]湖南大学整车先进设计制造技术全国重点实验室,湖南长沙410082

出　　处：《振动工程学报》2024年第9期1546-1555,共10页Journal of Vibration Engineering

基　　金：国家自然科学基金面上项目(52375093,12272137);广东省自然科学基金面上项目(2023A1515010351);整车先进设计制造技术全国重点实验室开放课题资助项目(32015003);大学生创新创业训练计划项目(202210561065)。

摘　　要：在制动噪声现象中,汽车制动器系统参数不可避免地存在着不确定性和相关性,使得系统响应亦可能同时存在一定的不确定性和相关性,针对该问题开展了制动器系统稳定性响应的不确定性和相关性分析研究。采用多椭球凸模型描述系统参数的不确定性和相关性,以不稳定模态阻尼比表征系统稳定性响应。将多椭球凸模型分别与蒙特卡罗仿真、一阶摄动法和二阶摄动法相结合,提出了三种系统稳定性响应的不确定性分析方法;结合蒙特卡罗仿真和一阶摄动法,分别提出了两种系统不确定响应的相关性分析方法;基于不确定性和相关性分析方法,提出了建立系统响应椭球域的组合方法。通过算例分析验证了方法的有效性。分析结果表明,所提出的方法可有效地求得系统稳定性响应的边界区间、相关系数和椭球域,并且该方法具有较高的计算精度和效率。In the phenomenon of brake noise,the parametric uncertainty and correlation inevitably exist in the automotive brake sys⁃tems,leading to some uncertainty and correlation of the system response.To address this problem,the uncertainty and correlation analysis for the stability responses of brake systems was carried out.A multi-ellipsoidal convex model was used to depict the uncer⁃tainty and correlation of system parameters,and the stability responses of system were characterized by the unstable modal damp⁃ing ratios.The Monte Carlo simulation,the first-order perturbation method and the second-order perturbation method were respec⁃tively combined with the multi-ellipsoidal convex model respectively,and three uncertainty analysis methods of system stability re⁃sponses were proposed.Based on the Monte Carlo simulation and the first-order perturbation method,two correlation analysis methods of system uncertain responses were developed respectively.The combinatorial methods for establishing the ellipsoid do⁃mains of system responses were presented by combining the uncertainty analysis and correlation analysis methods.A numerical ex⁃ample was given to verify the effectiveness of the proposed methods.The analysis results demenstrate that the proposed methods can effectively obtain the boundary intervals,correlation coefficients and ellipsoid domains of system responses,and the methods have high computational accuracy and efficiency.

关 键 词：汽车制动器系统 多椭球凸模型 不确定性分析 相关性分析 制动噪声 

分 类 号：U463.51[机械工程—车辆工程]