基于Kriging模型的主轴箱多目标尺寸优化  

Multi-objective size optimization of headstock based on Kriging model

作　　者：潘英广 唐清春[1] 袁秀坤 张晨阳 魏巍 王太子 PANYingguang;TANG Qingchun;YUAN Xiukun;ZHANG Chenyang;WEIWei;WANG Taizi(School of Mechanical and Automotive Engineering,Guangxi University of Science and Technology,Liuzhou 545616,China;Department of Transportation Engineering,Sichuan Engineering Vocational College,Deyang 618000,China)

机构地区：[1]广西科技大学机械与汽车工程学院,广西柳州545616 [2]四川工程职业技术学院交通工程系,四川德阳618000

出　　处：《广西科技大学学报》2024年第2期78-86,共9页Journal of Guangxi University of Science and Technology

基　　金：国家自然科学基金项目(52165054);广西自然科学基金项目(2020GXNSFAA1591)资助。

摘　　要：以自研五轴工具磨床为研究对象,利用Inventor建立其三维模型,导入ANSYS Workbench建立其整机有限元模型,通过对整机的模态分析与谐响应分析确定主轴箱为影响整机动态特性的关键部件。对主轴箱进行静动态特性分析,以主轴箱1阶固有频率、几何质量与最大变形量为目标函数,以主轴箱各壁厚以及斜度等为设计变量,基于Kriging法建立其响应面模型,对其进行多目标优化,从而得出最优Pareto解集,最后对优化后主轴箱进行验证。结果表明:主轴箱的1阶固有频率从113.03 Hz提升至144.50 Hz,提升了27.84%,几何质量减少了3.83%,最大变形量减少了10.31%,主轴箱综合性能显著提高。Taking the self-developed five-axis tool grinder as the research object,the 3D model was established by Inventor,and the finite element model of the whole machine was established by importing ANSYS Workbench.Through the modal analysis and harmonic response analysis of the whole machine,the headstock was determined as the key component affecting the dynamic characteristics of the whole machine.The static and dynamic characteristics of the headstock were analyzed.With the first-order natural frequency,mass and maximum deformation of the headstock as the objective functions,and the wall thickness and slope of the headstock as the design variables,the response surface model was established based on Kriging method,and the multi-objective optimization was carried out to obtain the optimal Pareto solution set.Finally,the headstock was verified after optimization.The results show that the first-order natural frequency of the headstock is increased by 27.84%from 113.03 Hz to 144.50 Hz,the mass is reduced by 3.83%,the maximum deformation is reduced by 10.31%,and the comprehensive performance of the headstock is significantly improved.

关 键 词：KRIGING模型 模态分析 谐响应分析 多目标优化 

分 类 号：TG593[金属学及工艺—金属切削加工及机床] TH132[机械工程—机械制造及自动化]