Optimum placement of non-linear dampers in high-rise buildings by using reduced load and structure models

Abstract

A set of reduced models of structures and earthquake loads is proposed for a high-rise building under earthquake ground motions. A reduced structural model is constructed first based on an inverse problem formulation in terms of fundamental eigenfrequency and eigenmode. Then a reduced model of earthquake loads is proposed by requiring the equivalence of displacements at representative nodes in the frame model and the reduced model without inertial and damping terms. These reduced models are used in developing an optimum placement method of nonlinear dampers in high-rise buildings under earthquake ground motions. Numerical response sensitivity by the proposed reduced model is taken fill advantage in the optimum placement method. The validity of the proposed method is investigated by the comparison with the results by the original full model.