基于缩减基法的刚柔耦合运动平台快速优化  

A Fast Optimization of Rigid-Flexible Coupling Motion Stage Based on Reduced-Basis Method

作　　者：黄观新 卢永和 张驰[1] 杨志军[1] HUANG Guanxin;LU Yonghe;ZHANG Chi;YANG Zhijun(Guangdong Provincial Key Laboratory of Micro-Nano Manufacturing Technology and Equipment,Guangdong University of Technology,Guangzhou,510006,China)

机构地区：[1]广东工业大学省部共建精密电子制造技术装备国家重点实验室,广州510006

出　　处：《组合机床与自动化加工技术》2023年第9期48-52,58,共6页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：国家自然科学基金项目(51875108,51905107);国家重点研发项目(2022YFB4701001);广州市科技计划项目(202201010277);佛山市南海区重点领域科技攻关项目(2230032004637)。

摘　　要：传统有限元分析方法计算量大,难以保证优化效率。本次研究将缩减基法用于刚柔耦合运动平台的快速优化,介绍了缩减基法的基本理论以及刚柔耦合直线平台的仿真模型,然后对缩减基法计算的位移结果进行误差分析,最大的相对误差为1.8×10^(-3),说明此方法不仅效率高,还有良好的计算精度。最后引入遗传算法优化平台的结构参数,并使用ABAQUS验证优化结果。结果表明优化后平台的倾翻角度减少了17.2%,证明缩减基与遗传算法的结合不仅避免了出现局部最优解的情况,还能够达到快速优化的目的,大大缩短了设计周期。Due to a large amount of calculation required while optimizing,it could not ensure the efficiency using traditional finite element method.In this paper,the reduced-basis method(RBM)is used for rigid-flexible coupled motion stage to achieve fast optimization.This article introduces the fundamental theory of reduced-basis method and the simulation model of the rigid-flexible coupled linear stage,then analyzes the error of the displacement results calculated by the reduced-basis method.The maximum relative error is 1.8×10^(-3),which shows that this method not only has high efficiency,but also has good accuracy.Finally,genetic algorithm was introduced to optimize the structural parameters of the stage,and ABAQUS was used to verify the optimization result.The results have shown that the tilting angle of the optimized stage is reduced by 17.2%,proving that the combination of reduced basis and genetic algorithm can not only avoid the occurrence of local optimal solution,but also achieve rapid optimization,and greatly shorten the design cycle.

关 键 词：刚柔耦合运动平台 结构优化 缩减基法 遗传算法 工况 

分 类 号：TH165[机械工程—机械制造及自动化] TG659[金属学及工艺—金属切削加工及机床]