摘要
为了兼顾龙门加工中心立柱结构具有更高的静动态刚度和更轻的重量的要求,基于SIMP变密度法拓扑优化理论,结合平均频率公式对各优化目标进行折衷化处理,并利用层次分析法选定子目标权重,建立了以立柱结构的相对密度为设计变量,同时考虑最小柔度和最大频率的多目标函数,并将结构体积的百分数作为约束函数对其进行优化得到新的立柱结构方案。结果表明:改进后的立柱质量减少8.96%,最大变形降低38.63%,一阶固有频率提高6.87%,满足设计指标要求。
In order to meet the gantry machining center pillar structure with higher static-dynamic stiffness and lower weight requirements,based on SIMP variable density method in topology optimization theory,combined with an average frequency formula to compromise the optimal objectives,the analytic hierarchy proces s（AHP）was used to select subgoal weights,the relative density of the pillar structure was considered as the design variables,a multi-objective function that takes into account the minimum compliance and maximum frequency was established,used the percentage of the volume of the structure as a constraint function to optimize to obtain a new pillar structure scheme. The results show that the quality of the improved pillar structure is reduced by 8.96%,the maximum deformation is decreased by 38.63%,the first natural frequency is increased by 6.87%,and meets the design requirements.
作者
关英俊
贾成阁
李潍
毕海峰
GUAN Ying-jun;JIA Cheng-ge;LI Wei;BI Hai-feng(School of Mechatronic Engineering, Changchun University of Technology, Jilin Changchun 130012, China;Changchun CNC Machine Tool Co.,Ltd, Jilin Changchun 130033, China)
出处
《机械设计与制造》
北大核心
2018年第6期21-24,共4页
Machinery Design & Manufacture
基金
吉林省教育厅资助项目(2015113)
