| Earthquake,also known as ground motion,is a common natural geological disaster.It has the characteristics of sudden,destructive and unpredictable.Its action time is short,generally,it only occurs for a dozen seconds or lasts for a few minutes.A large number of buildings were destroyed or even collapsed,which seriously threatened the safety of human life and property and caused huge social and economic losses.Therefore,the seismic design of building structures is the focus of attention of structural engineers.The development of structural vibration control theory has promoted the development of seismic design.The design based on performance goals has made the energy dissipation and vibration reduction technology more mature.At present,the damper damping effect mostly depends on its installation quantity and location layout.The reasonable arrangement of the dampers can not only ensure the shock absorption effect but also reduce the cost.This article mainly discusses the layout optimization problem of viscous dampers,and optimizes them with different objective functions.The main research contents and conclusions are as follows:(1)Optimal design of seismic and shock absorption structure,with structural performance indicators storey drift and top-level displacement as the optimization objectives,and the optimization variables are respectively the frame column section size of frame structure and the location of the damper and the position and quantity of viscous dampers.Calculate the H norm and H2 norm of the structural performance index,search the optimal value and the optimization effect is compared and analyzed.The analysis results show that the optimal control with the norm is better,and the design of energy dissipation and shock absorption has more practical application value.(2)A new cost function is defined for viscous dampers in building structures,and the cost function is set as the optimization objective.The cost function comprehensively considers the cost of installation,transportation,manufacturing,connectors and maintenance and inspection of viscous dampers.Based on this,the cost optimization based on performance design was carried out.On the basis of the optimization results,the cost optimization effect was verified by the average distribution of dampers and the optimal arrangement of dampers with cost as constraint.The analysis results show that the cost function defined has certain advantages,and the cost optimization under different performance objectives can meet the functional requirements of different buildings and improve the satisfaction of owners.(3)In order to verify the effectiveness of the new definition of cost function and practicability,the cost optimization is applied to the actual steel frame and reinforced concrete frame structure,separately with the cost as the goal and cost as constraint condition of optimal placement of the dampers.The seismic response of the damper is calculated by the equal number of evenly distributed dampers,and the seismic response of the structure with damper is optimized with cost as the objective.The analysis results show that the cost functions defined in this paper can be well applied to steel frame structures and reinforced concrete frame structures,and the optimal design can be applied to practical engineering applications. |