不确定转子系统非参数建模与散度参数识别  

Nonparametric modeling and dispersion parameter identification for uncertain rotor systems

作　　者：刘彦旭[1] 刘保国[1,2] 张震 冯伟[1,2] 张瑞丰 LIU Yanxu;LIU Baoguo;ZHANG Zhen;FENG Wei;ZHANG Ruifeng(School of Electromechanical Engineering,Henan University of Technology,Zhengzhou 450001,China;Henan Key Laboratory for Superabrasive Grinding Equipment,Henan University of Technology,Zhengzhou 450001,China)

机构地区：[1]河南工业大学机电工程学院,郑州450001 [2]河南工业大学河南省超硬磨料磨削装备重点实验室,郑州450001

出　　处：《航空动力学报》2023年第10期2527-2535,共9页Journal of Aerospace Power

基　　金：国家自然科学基金(12072106)。

摘　　要：针对具有不确定性的转子系统,提出了基于非参数建模和矩阵极分解理论的不确定动力学建模方法,并提出了适用于不确定转子系统非参数动力学模型散度参数识别的方法。利用所搭建的转子实验台对该方法进行了实验验证。结果表明:在转子系统的4个观测点处,转子转速不超过3000 r/min时,非参数模型结果的均值和确定性模型几乎重合;但转速接近1阶临界转速时,采用非参数不确定动力学计算模型所得到的结果均值与实测结果更为接近。该研究可为研究具有模型不确定性的双转子或多转子系统的非参数建模方法及对应的散度参数识别方法研究提供参考。For rotor systems with uncertainty,an uncertain dynamic modeling method based on nonparametric modeling and matrix polar decomposition theory was proposed,and a method for identifying the dispersion parameters of the nonparametric dynamic model of the uncertain rotor system was also proposed.The nonparametric modeling method was verified by utilizing the rotor experimental platform.The results showed that at four observation points of the rotor system,when the rotor speed did not exceed 3000 r/min,the mean value of the results of the nonparametric model almost coincided with the deterministic model.However,when the speed was close to the first critical speed,the mean value of the results obtained by the nonparametric uncertain dynamic calculation model was closer to the measured results.This study can provide a reference for the study of nonparametric modeling methods and corresponding dispersion parameter identification methods of two-rotor or multi-rotor systems with model uncertainty.

关 键 词：非参数建模 模型不确定 转子系统 散度参数 振动响应 

分 类 号：V233.1[航空宇航科学与技术—航空宇航推进理论与工程]