摆线齿轮成形磨削机床立柱的多级优化研究
Research on Multi-Stage Optimization of Cycloid Gear Forming Grinding Machine Column
乔雪涛 1杨泽 1李放 1周世涛1
作者信息
- 1. 中原工学院机电学院,河南 郑州 450007
- 折叠
摘要
针对摆线轮成形磨床立柱优化过程中的复杂性,提出一种综合拓扑优化、结构仿生、尺寸优化的多级多目标优化设计方法,实现了立柱质量、一阶固有频率、最大应力及变形位移综合目标优化.以应变能最小为目标函数,以体积分数为约束,采用拓扑优化设计方法,确定了复杂载荷下摆线轮成形磨床立柱材料的最佳分布.以王莲叶脉和芭蕉叶柄为仿生目标,采用结构仿生优化设计方法,在立柱内部仿生空间设计仿生筋板,最大限度提升立柱整体性能.采用响应面模型遗传算法对立柱内部复杂结构尺寸进行优化,得到尺寸最优解.结果表明:在受载相同的情况下,优化后的立柱质量减轻18.4%,立柱最大应力减少23.6%,变形位移减少0.6%,一阶固有频率有所提升.
Abstract
In view of the complexity of column optimization process of cycloidal wheel forming grinder,a multistage multi-objective optimization design method based on topological optimization,structure bionic optimization and size optimization was composed,which was proposed to realize the comprehensive objective optimization of column quality,first-order natural fre-quency,and maximum stress and deformation displacement.Taking the minimum strain energy as the objective function and the volume fractions as the constraints,the optimal distribution of column material for cycloid wheel forming grinder under complex loads was determined by using the topological optimization design method.With the bionic target of king lotus leaf veins and plan-tain petiole,the structural bionic optimization design method was adopted to design bionic fascia plates in the internal bionic space of the column,to maximize the overall performance of the column.The response surface model genetic algorithm(RSM)was used to optimize the size of the complex structure inside the column.The results show that under the same load,the optimized col-umn mass can be reduced by 18.4%,the maximum stress of the column can be reduced by 23.6%,the deformation displacement can be reduced by0.6%,and the first-order natural frequency can be improved.
关键词
磨床立柱/拓扑优化/结构仿生/尺寸优化/响应面模型遗传算法/性能仿真Key words
Grinding Machine Column/Topology Optimization/Structural Bionics/Size Optimization/Response Surface Model Genetic Algorithm/Performance Simulation引用本文复制引用
基金项目
河南省科技计划项目(202102210276)
河南省科技计划项目(212102210318)
中原工学院基本科研业务费专项资金项目(K2018YY004)
出版年
2024
NETL
NSTL
维普
万方数据