基于遗传算法的汽车橡胶衬套数学建模及参数辨识  

Bouc-Wen mathematical model of the automobile subframe’s rubber bushing and its parameter identification based on the genetic algorithm

作　　者：闫盖 方明霞[2] YAN Gai;FANG Ming-xia(College of Engineering,Shanghai Polytechnic University,Shanghai 201209;School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092)

机构地区：[1]上海第二工业大学工学部,上海201209 [2]同济大学航空航天与力学学院,上海200092

出　　处：《机械设计》2020年第10期73-78,共6页Journal of Machine Design

基　　金：国家自然科学基金资助项目(11772229);上海第二工业大学重点学科资助项目(XXKZD1601)。

摘　　要：文中以某汽车副车架的橡胶衬套为研究对象,采用理论与试验相结合的方法,对汽车橡胶衬套进行数学建模及参数辨识研究。首先建立了台架试验系统,在不同频率、幅值激励下通过试验获得橡胶衬套动力学特性数据,然后根据数据的迟滞非线性特性,建立橡胶衬套Bouc-Wen数学模型,并以最小二乘法对模型参数进行初步辨识,最后基于遗传算法对获得的参数值进行修正,并运用数值仿真方法对橡胶衬套的Bouc-Wen模型重构力-位移曲线,结果与试验结果吻合较好,误差在5%以内,验证了参数辨识方法的正确性和有效性。This article focuses on an automobile subframe’s rubber bushing.With the combination of theory and experiment,the mathematical model is set up and the related parameters are identified.To begin with,the bench test system is set up,which obtains the data on the dynamic characteristics of rubber bushing by means of the motivation of different rate and amplitude.Then,according to the hysteresis nonlinearity of the data,the Bouc-Wen mathematical model of rubber bushing is worked out,and the model parameters are identified preliminarily with the aid of the least square method.Finally,the parameters will be corrected by GA.In addition,the Bouc-Wen model’s force-displacement curve will be reset by means of numerical simulation.If the theoretical data coincides with the experiential data and the error is less than 5%,it will prove that the method of parameter identification is correct and valid.

关 键 词：橡胶衬套 BOUC-WEN模型 参数辨识 

分 类 号：TB315.1[一般工业技术—材料科学与工程]