随机地震作用下三维桁架结构拓扑优化

Topology optimization of 3D truss structures under random seismic excitations

建立了以结构体积最小为目标、指定节点响应方差为约束的优化模型,采用时域显式法分析了随机地震作用下结构响应及其灵敏度,并结合全局收敛的移动渐进线法(GCMMA)求解了结构拓扑优化问题,最后通过三维桁架结构数值算例验证了该拓扑优化的可行性。

The optimization model of 3D truss structures is formulated by taking volume minimization with displacement constraints. Then,the time-domain explicit method is applied to solve the stochastic response and the sensitivity with respect to the design parameters,and combined with the Global Converged Method of Moving Asymptotes（ GCMMA） to solve the topology optimization problem. Finally,the numerical example illustrates the computational efficiency of the proposed topology optimization.