双主轴卧式加工中心横梁结构综合优化设计
Comprehensive Optimization Design of Beam Structure for Double-Spindle Horizontal Machining Center
尹浇钦 1高自成 1李立君 1刘怀粤 1乔志东 1胡意波1
作者信息
- 1. 中南林业科技大学机械与智能制造学院,湖南长沙 410000
- 折叠
摘要
为了在降低横梁总质量的同时保证其低阶固有频率和刚度,提出一种结合拓扑结构和尺寸优化的设计方法.使用拓扑优化方法确定横梁内部结构,并对它进行修复;根据修复后横梁的有限元分析结果,以横梁内部的厚度、孔尺寸等多个参数为设计变量,整体最大变形和 1 阶固有频率为约束条件,采用总质量最小为目标函数建立数学模型.利用多目标遗传算法(MOGA)进行求解,通过CCD试验设计获得初始样本点,并使用Kriging模型建立响应面.经过多次试验发现,横梁的总质量相比于优化前减少了 20.3%.
Abstract
In order to reduce the total mass of the beam while ensuring its low-order natural frequency and stiffness,a design meth-od combining topology optimization and size optimization was proposed.The topology optimization method was used to determine the in-ternal structure of the beam and then it was repaired.Based on the finite element analysis results of the repaired beam,taking the thick-ness and holes size inside the beam as design variables,the overall maximum deformation and the first-order natural frequency were taken as constraints,and the total mass was minimized as the objective function to establish a mathematical model.The multi-objective genetic algorithm(MOGA)was used for solving.The initial sample points were obtained through CCD experiment design and a response surface was established using the Kriging model.After multiple tests,the total mass of the beam is successfully reduced by 20.3%com-pared with before optimization.
关键词
双主轴卧式加工中心/横梁/拓扑优化/响应面法/轻量化设计Key words
double-spindle horizontal machining center/beam/topology optimization/response surface method/lightweight design引用本文复制引用
基金项目
湖南省重点研发计划项目(2021NK2023)
出版年
2024