非平稳随机地震响应约束下的桁架结构形状与拓扑优化  

Shape and topology optimization of truss structures under non-stationary stochastic seismic excitations

作　　者：李雪平[1] 李栋泓 魏鹏[1] 苏成[1] 

机构地区：[1]华南理工大学土木与交通学院亚热带建筑科学国家重点实验室,广州510640

出　　处：《振动与冲击》2017年第9期138-145,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(11002056;11372004);中央高校基本科研业务费项目(2014ZZ0071)

摘　　要：基于时域显式方法,针对桁架结构在非平稳随机地震作用下的动力优化问题推导了非平稳随机响应对设计参数的灵敏度,并结合移动渐进线法对桁架结构的截面积及节点坐标进行优化。建立了以体积为目标函数,以水平向及竖向地震作用下位移方差为约束条件的优化模型。通过数值算例说明桁架在非平稳随机地震作用下进行动力优化的可行性以及该方法的有效性。Aiming at the dynamic optimization problems of truss structures under non stationary random seismic actions, the sensitivities of non stationary random responses of a truss structure to design parameters were derived based on the time-domain explicit method. The cross-section areas and nodal coordinates of the truss structure were optimized combined with the method of moving asymptotes. The volume of the truss was taken as the objective function and the displacement variances under actions of horizontal and vertical earthquakes were taken as the constraints to establish an optimization model. Two numerical examples illustrated the feasibility and effectiveness of the proposed method for dynamic shape and topology optimization of truss structures under non-stationary stochastic seismic excitations. © 2017, Editorial Office of Journal of Vibration and Shock. All right reserved.

关 键 词：桁架 非平稳 拓扑优化 时域显式法 

分 类 号：TU311[建筑科学—结构工程] O324[理学—一般力学与力学基础]