Efficient Optimal Design Of Dampers Based On Inelasticity-separated Finite Element Method

In recent several years,with active crustal motion and frequently occurred earthquakes,dampers are more designed and used in structural retrofit and newly built buildings.With the development of structural vibration control theory and seismic design theory,the design theory and analysis method of energy dissipation systems attracts much attention from scholars at home and abroad.The analysis model,design method and performance standard of dampers are raised in codes of many countries.Furthermore,in design method of dampers,there are directly design method based on displacement or capacity spectrum and design method based on energy,etc.In addition,optimal design for damper location and parameters are studied by many scholars.However,in these methods,dampers are equivalently linearized or much nonlinear time-history analysis are contained so that the accuracy and efficiency can't be considered simultaneously.Inelasticity-separated finite element method(IS-FEM)is a kind of fast nonlinear analysis method in which inelastic analysis efficiency is improved by factorizing the sparse approximate Schur complement matrix representing local inelastic behavior.Based on these,the research is done in the following aspects:(1)Basic theory of inelasticity-separated finite element method is summarized and introduced.Basic thought and static and dynamic analysis procedures is introduced by multistory frame based on fiber beam element and the result is compared with finite element software ABAQUS to verify the validity of IS-FEM.(2)Analysis model of displacement-based dampers and velocity-based dampers is introduced and the governing equations of structure with these two kinds of dampers are derived based on IS-FEM.The theory is verified by comparing it with connection elements in ABAQUS.(3)An efficient optimal design method of dampers(GAIS-FEM)was proposed combined with constrained optimization genetic algorithm based on population feasibility.Compared with conventional method,the method proposed can significantly improve the design and calculation efficiency.(4)Finally,a steel structure equipped with metallic yielding dampers was taken as example to verify the proposed method and the efficiency is compared based on time complexity theory.