考虑抗震性能的低层轻钢密柱框架支撑拓扑优化  

Topology Optimization of the Supports of the Low-rise Light Steel Frame with Small Column Span Considering Seismic Performance

作　　者：肖曦 姜宝石[1] 章文杰 XIAO Xi;JIANG Bao-shi;ZHANG Wen-jie(College of Civil and Architectural Engineering,Hainan University,Haikou 570228,China)

机构地区：[1]海南大学土木建筑工程学院,海口570228

出　　处：《科学技术与工程》2020年第24期9988-9995,共8页Science Technology and Engineering

基　　金：海南省重大科技计划(ZDKJ201803);国家重点研发计划(2019YFD1101004);国家自然科学基金(51968018);海南省科协青年科技英才创新计划(201505)。

摘　　要：为提升密柱密梁框架体系的抗震性能,提出了一种新思路,用于得到抗震性能优良的带支撑框架。首先,对低层轻钢框架进行非线性动力时程分析,通过对结构的最大地震效应进行静力等效,获得地震作用的水平等效静荷载。其次,将水平等效荷载与竖向荷载进行组合,利用双向渐进结构优化(BESO)方法对一榀密柱框架进行支撑分布的拓扑优化,得到一种应力分布较均匀且抗震性能优良的带支撑框架。优化中,梁柱位置单元保持不变,通过单元增减的双向进化获得传力骨架,再用等截面杆件将该骨架重构成带支撑框架。同时,利用由优化结果得来的结构概念设计多种密柱框架支撑分布方案。最后,以顶点侧向位移为性能指标,通过非线性动力时程分析,比较了这些带支撑框架的抗震性能。结果表明:拓扑优化得到的带支撑框架性能优于通过结构概念得到的带支撑框架。据此,给出了低层轻钢建筑密柱框架支撑分布的设计建议。In order to improve the seismic performance of the dense column and dense beam frame system,a new idea was proposed for obtaining a braced frame with better seismic performance.Firstly,the horizontal equivalent load was obtained by the static equivalence of the maximum seismic effect derived from nonlinear dynamic time history analysis for the low-level light steel frame with small column span.Secondly,the topology of the supports of the frame was optimized by bi-direction evolutionary structural optimization(BESO)method to obtain a rational support distribution under the combination of the horizontal equivalent load and the vertical load,which had more uniform stress and better seismic performance.In the optimization process,the elements on the position of beams or columns kept constant,and the force-transmitting skeleton was obtained through the bi-direction evolution with the element unit increase or decrease.After that,the skeleton was reconstructed into a frame with rational supports by the equal section members.Simultaneously,several support distribution schemes for such frames were designed according to the structural concepts derived from the optimization results.Lastly,the seismic performance of these frames with supports was compared by nonlinear dynamic time history analysis according to the lateral displacement of the top.The results show that the performance of the frames which are designed by the topology optimization is better than that of the corresponding braced frames by the structural concepts.Based on the above contents,the design recommendations are given for the support distribution of the frame of the low-rise light steel buildings.

关 键 词：双向渐进结构优化方法 拓扑优化 轻钢建筑 抗震性能 带支撑框架 

分 类 号：TU318.1[建筑科学—结构工程] TU234