Layout Design Optimization Of Viscous Dampers For Frame Building Structures Based On Topological Optimization Method

The structural engineers pay particular attention to the seismic design of building structures.Passive control is a common measure to reduce the seismic response of building structures and improve their seismic capacity.In passive control of energy dissipation system,the control effect mostly depends on the number and location of viscous dampers.The rational layout of dampers can ensure the effect of energy dissipation and reduce the cost.At present,most of the existing research is to optimize the damper’s damping coefficients and layout location respectively,and the effect of this work needs to be improved.For this reason,this paper realizes the synchronous optimization of viscous fluid dampers placement and damping coefficient under the objective of minimizing the cost of building structure under actual earthquake action.Firstly,the story model and the beam-column model are used as the seismic linear dynamic response analysis models of planar and spatial frame structures.The objective function is to minimize the construction cost of viscous fluid damper frame structures.The location of dampers and damping parameters are taken as design variables.Then,the optimal formulation is constructed by limiting the maximum inter-story displacement of structure under earthquake action.The design variables of this optimization problem include two types: discrete design variables and continuous design variables.The traditional mixed integer programming method has a large amount of computation to solve this kind of problem.In this paper,the RAMP model in the density method of topology optimization is used to deal with the discrete design variables in the objective function of the optimization problem continuously,and then the moving asymptote method is used to solve the optimization problem.The optimization of position layout and damping coefficient of the viscous dampers are realized at the same time.Finally,the results of numerical examples indicate that the proposed method is suitable for both plane and space frame structures,and it presents high computational efficiency.A synchronous optimization design scheme for the placement and damping coefficient of viscous dampers of building structures with minimum cost is obtained.