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The dynamic model for tall shear-wall building was presented by continuous-discrete method and the frequency equation of tall shear-wall building was obtained by the vibration theory of system with distributed parameters and introducing the boundary conditions of concentrated parameters, then frequency and mode shape were obtained by the numerical method. On the basis of the Betti law, the orthogonal conditions of modes of tall shear-wall building with concentrated and distributed parameters were deduced. Founding the motion equations of shear wall in each story and concentrated mass of each story under earthquake, the motion equations of tall shear-wall building were decoupled by orthogonal conditions and generalized mass and stiffness were obtained, then the responses of structure under earthquake excitation were solved by the mode superposition method. In order to validate the correctness of constructed dynamic model and the method of solving seismic response for tall shear-wall building, a sixteen-story shear wall building was chosen to analyze dynamic character and seismic response by Simulink simulation. Simulation results show that dynamic characteristic and seismic response obtained by constructed dynamic model and the method of solving seismic response are basically consistent with finite element, and the errors of dynamic character and seismic response obtained by constructed dynamic model and the method of solving seismic response are analyzed in the case of different stiffness of linking beam and different depth-width ratio of shear wall, which can meet the demand of application.
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