摘要
提出一种新的横梁结构多目标拓扑优化设计方法,避免了传统的单目标优化设计方法无法同时考虑多个目标的问题。该方法基于拓扑优化思想,将横梁设为设计域与非设计域,以设计域各单元密度为设计变量,基于加权欧氏距离法建立使静柔度最小化与模态频率最大化的多目标拓扑优化的目标函数,以体积分数为设计约束,对横梁结构进行多目标拓扑优化;结果表明,在横梁质量基本保持不变的情况下,横梁静刚度提高了17.8%,一阶固有频率增加了4.98%,优化效果显著。
A multi - objective topology optimization based on variable density method is presented for structure opti- mization design of the cross beam, avoid the traditional single - objective optimization design method can not simultaneously consider multiple factors shortcomings. The cross beam is designed by two parts, do- main and non - domain, by cell density to describe the importance of the various components of the de- sign domain. First, a finite model is created, stiffness and vibration frequency as an optimized target, volume fraction as a optimized restraint. Furthermore, according to the results of topology optimization for structural optimization design for the cross beam. The result shows that the mass can be maintained while increasing the static stiffness by 17.8% and the first order natural frequency by 4.98%.
出处
《制造技术与机床》
北大核心
2015年第7期93-97,共5页
Manufacturing Technology & Machine Tool
基金
"高档数控机床与基础制造装备"科技重大专项(2012ZX04002032)
江苏省科技支撑计划重点项目(BE2014004-3)
"高档数控机床与基础制造装备"科技重大专项(2013ZX04012032)
关键词
横梁
多目标优化
加权欧氏距离
拓扑优化
变密度法
cross beam
multi -objective optimization
weighted euclidean distance
topology optimization
varia-ble density method
