SIMP拓扑优化的拉压杆模型研究  

Strut-and-Tie Model Based on SIMP Topology Optimization Theory

作　　者：陈林[1] 逯静洲[1] 徐娜[1] 朱旭[1] 

机构地区：[1]烟台大学土木工程学院,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2013年第3期212-216,共5页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：山东省自然科学基金资助项目(ZR2012EEM014)

摘　　要：采用SIMP应变能最小化的优化准则方法,对基于拓扑优化技术建立拉压杆模型的设计流程进行了深入研究.并对基于SIMP法拓扑优化建立拉压杆模型的影响因素进行了系统研究,总结出将最优拓扑转化为构件拉压杆模型的原则.为验证其最优性,对一简支开洞深梁建立了多种拉压杆模型,并与基于SIMP法的拓扑优化建立的拉压杆模型,通过承载能力和有效系数进行方案的比选.研究结果表明基于SIMP拓扑优化的拉压杆模型应变能和钢筋体积比最小,而承载能力较大.The design process of STMs shape based on the SIMP （ Solid Isotropic Material with Penalization） topol-ogy optimization theory is presented. Some factors influencing the result of topology designs are analyzed, and the principles of transforming topology optimization into STMs are given based on numerical analysis. To confirm the va-lidity of the optimization technique, four STMs including one model based on SIMP topology optimization method have been established for a simply supported dapped beam with openings, and the schemes comparison and selec-tion are conducted according to the carrying capacity and the effective coefficient. The results show that the SIMP is feasible in the STM design procedure or framework to generate STM shape for effective structural performance design of D-regions with the least reinforced volume ratio, the minimization strain energy and the higher carrying capacity.

关 键 词：拉压杆模型 开洞深梁 拓扑优化 SIMP 

分 类 号：TU24[建筑科学—建筑设计及理论]