基于Kriging模型的滚动直线导轨副耐磨性优化设计  

Wear optimization design of rolling linear guide based on Kriging model

作　　者：林道杰 梁医[1] 朱燕芳 欧屹[1] 冯虎田[1] LIN Daojie;LIANG Yi;ZHU Yanfang;OU Yi;FENG Hutian(School of Mechanical Engineering,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]南京理工大学机械工程学院,南京210094

出　　处：《航空动力学报》2024年第8期311-318,共8页Journal of Aerospace Power

基　　金：国家自然科学基金青年基金(51405233);丽水经济技术开发区重点研发计划项目(2022KFQZDYF8)。

摘　　要：为提升滚动直线导轨副耐磨性,结合导轨副摩擦磨损试验及理论分析,将最大碰撞力,最大接触应力,摩擦阻力作为导轨副耐磨性能的表征和优化目标。根据设计要求,确定滑块反力约束函数和结构参数约束范围。通过分析模型的参数灵敏度,选取初始接触角,滑块滚道曲率比,滚珠直径和导轨高度增量作为设计变量;优化使用CCRD联合Kriging响应面构建代理模型;通过NSGA-Ⅱ算法,使结构在最大接触应力仅增加4.33%的情况下,摩擦阻力降低2.09%,最大碰撞力降低15.00%。设计变量中滚珠直径由5.56 mm降低至5.174 4 mm,初始接触角由45°降低至38.878°,两者变动最大。基于Spearman相关性分析,可知滚珠直径与滑块反力相关系数值为0.23,初始接触角与滑块反力系数值达到-0.82,两者在优化中相互平衡达到最优解。In order to improve the wear resistance of rolling linear guide,combined with the wear test and theoretical analysis,the maximum impact force,maximum contact stress and friction resistance were taken as optimization goals.The constraint function of slider reaction force and the range of structural parameters were determined by the desgin requirement.By analyzing the parameter sensitivity,initial contact angle,curve ratio of the slider raceway,ball diameter and the increment of the rail height were selected as variables;CCRD and Kriging response surface were optimized to construct the agent model.Through the NSGA-Ⅱ algorithm,the friction resistance and maximum impact force of the structure were reduced by 2.09% and 15.00%,respectively,while the maximum contact stress increased by only 4.33%.The ball diameter decreased from 5.56 mm to 5.174 4 mm,and the initial contact angle decreased from 45° to 38.878°.Through Spearman correlation analysis,it was observed that the coefficient value between the ball diameter and the slider reaction force was 0.23,and the coefficient value between the initial contact angle and slider reaction force reached-0.82.These two variables balanced each other to achieve the optimal solution in optimization.

关 键 词：滚动直线导轨副 耐磨性 优化设计 KRIGING模型 NAGA-Ⅱ算法 

分 类 号：V222[航空宇航科学与技术—飞行器设计] TP211.2[自动化与计算机技术—检测技术与自动化装置]