基于径向基组合近似模型技术的立柱结构优化设计  

Optimal design of column structure based on combined approximate model technology based on radial basis

作　　者：魏锋涛[1] 史云鹏 张洋洋 黎俊宇 高新勤[1] WEI Fengtao;SHI Yunpeng;ZHANG Yangyang;LI Junyu;GAO Xinqin(School of Mechanical and Precision Instrument Engineering,Xi′an University of Technology,Xi′an 710048,CHN)

机构地区：[1]西安理工大学机械与精密仪器工程学院,陕西西安710048

出　　处：《制造技术与机床》2022年第1期77-83,共7页Manufacturing Technology & Machine Tool

基　　金：国家自然科学基金资助项目(51575443);陕西省教育厅重点科学研究计划项目(20JY047)资助课题。

摘　　要：针对实际工程复杂优化问题,通常难以获得优化设计变量与优化目标之间的显示函数关系表达式,以SZJY-14型加工中心的立柱作为研究对象,研究了一种基于径向基组合近似模型技术的立柱结构优化设计。首先,针对径向基近似模型预测精度较低等问题,研究了一种基于多策略的径向基近似模型技术,并以改进径向基近似模型技术为基础,构建了组合近似模型技术。其次,利用有限元分析软件Abaqus对立柱三维结构进行网格划分,并对其进行静动态性能分析确定优化目标,采用灵敏度分析法确定优化设计变量,利用组合近似模型技术建立了立柱优化设计模型。最后,采用改进回溯搜索优化算法实现了立柱结构优化设计。求解结果表明,与立柱原结构相比,优化后质量减小了3.77%,最大变形量降低了5.14%,一阶频率提高了5.9%,达到了预期效果。In view of complex optimization problems in actual engineering,it is usually difficult to obtain the display function relationship expression between the optimization design variables and the optimization goals.This paper takes the column of the SZJY-14 machining center as the research object,and studies a technology based on a combined approximate model optimized design of the column structure.First of all,for the low prediction accuracy of the radial basis basis approximation model,a multi-strategy based radial basis approximation model technology is studied,and based on the improved radial basis basis approximation model technology,a combined approximation model technology is constructed;secondly,The finite element analysis software Abaqus was used to mesh the three-dimensional structure of the column,and the static and dynamic performance analysis was performed to determine the optimization target,and the sensitivity analysis method was used to determine the optimization design variables,and the combined approximate model technology was used to establish the column optimization model;finally,The improved backtracking search optimization algorithm is adopted to realize the optimization design of the column structure.The solution results show that compared with the original structure of the column,the optimized mass is reduced by 3.77%,the maximum deformation is reduced by 5.14%,and the first-order frequency is increased by 5.9%,achieving the expected effect.

关 键 词：改进径向基近似模型技术 组合近似模型技术 灵敏度分析法 立柱结构优化 

分 类 号：TH122[机械工程—机械设计及理论]