Topology Optimization for Stochastically-excited Structures with Supplemental Dampers
Topology optimization offers the possibility of obtaining optimal material layouts to meet loading demands; however,most approaches only accommodate deterministic loads.Many of the most severe dynamic loads that civil structures withstand are stochastic in nature.Addition of supplemental damping to mitigate structural dynamic response has been long considered an attractive option to improve the behavior of civil structures.Typically,the structure is designed considering only intrinsic damping,which minimally affects the response to dynamic excitation,and dampers are added afterwards to increase structural damping and effectively reduce responses.Simultaneous design of the structure and the supplemental damping system together has been proposed,but it is limited to sizing optimization with a predefined topology.Therefore,this paper proposes a strategy to obtain simultaneously optimal topology and discrete damper distribution for stochastically excited structures.The excitation is modeled as a stationary zero-mean filtered white noise,the excitation model is combined with the structural model to form an augmented representation,and the stationary covariances of the structural responses of interest are obtained by solving a Lyapunov equation.An objective function for the optimization scheme is then defined in terms of these stationary covariances.The proposed topology optimization framework is illustrated for a mid-rise building subjected to stochastic ground excitation.The results presented herein demonstrate the efficacy of the proposed approach for efficient topology optimization and damping distribution for stochastically excited structures.
Topology optimization stochastic dynamics supplemental damping finite element
F.Gomez B.F.Spencer
Department of Civil and Environmental Engineering,University of Illinois at Urbana-Champaign,205 North Mathews Avenue,MC-250,Urbana,IL 61801,USA
国际会议
The 7th World Conference on Structural Control and Monitoring(7WCSCM)(第七届结构控制与监测世界大会)
青岛
英文
21-30
2018-07-22（万方平台首次上网日期，不代表论文的发表时间）