一种抗震结构拓扑渐近优化设计方法  

A Seismic Structural Topology Evolutionary Optimal Design Method

作　　者：刘齐茂[1] 燕柳斌[2] 

机构地区：[1]广西大学土木建筑学院,南宁530004 [2]广西工学院土木建筑系,柳州545006

出　　处：《结构工程师》2008年第4期71-75,共5页Structural Engineers

基　　金：广西自然科学基金(0481007);广西工学院青年科学资金(500204)

摘　　要：提出一种抗震结构拓扑渐近优化设计方法。采用显式动力分析方法计算结构单元在整个地震过程中发生的总等效残余应变,基于在地震过程中单元发生的总等效残余应变越大意味着该单元消耗的地震能越多,则该单元在整个结构地震的过程中所起的作用就越大这一原理,通过单元的总等效残余应变阈值将结构单元定义为高效单元和低效单元,在拓扑优化过程中逐渐删除设计域中的低效单元,逐步使抗震结构趋于优化。当总的删除率大于等于给定删除率时抗震结构收敛于最优拓扑,实现了抗震结构的拓扑优化设计。算例表明文中提出的抗震结构拓扑渐近优化设计方法获得的抗震结构最优拓扑符合工程结构的特点,在结构的初始设计阶段可为结构工程师提供一种结构概念设计和结构选型方法。A seismic structural topology evolutionary optimal design method was developed. The explicit dynamic analysis method was adopted to calculate total equivalent plastic strain of the structural element in the whole earthquake action. The structural elements were defined as efficient elements and inefficient elements according to the threshold of the element total equivalent plastic strain based on the principle that the more total equivalent plastic strain of the element is accumulated in the earthquake action, the more the element wastes the earthquake energy. So the efficient elements contribute to better the seismic-resistance capability of structures. The inefficient elements in the design domain were deleted gradually in the topology optimization course and the seismic structure became more and more optimal. When the total delete ratio was great or equaled to the prescriptive delete ratio, the structure converged to the optimum topology and the topology optimal design of the seismic structure was completed. The example indicates that the optimum topology obtained by using the seismic structural topology evolutionary optimal design method has the characteristics of engineering structures. It can present a structural concept design and type choice method for the structure engineers.

关 键 词：抗震设计 拓扑优化 拓扑描述数组 等效残余应变 ANSYS/LS—DYNA 

分 类 号：TU352.11[建筑科学—结构工程]