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In base-isolated tall shear wall buildings, the bidirectional anti-pulling sliding device is used to resist tension and bear pressure. In this paper, it was developed and used together with the laminated rubber bearing to form a composite base-isolation system. Based on the established dynamic mechanical model of this base-isolated system, the frequency equation, mode orthogonal conditions, generalized mass and stiffness were deduced. According to the Hamilton principle, the equivalent damping ratio in each mode produced by the damping of laminated rubber bearings was derived. Therefore, the seismic response of base-isolated tall shear wall buildings can be solved by the modal superposition method. The seismic response of a sixteen-story base-isolated shear wall building was obtained by establishing a dynamic model and carrying out analysis against that model, demonstrating that this composite isolated system has an obvious function of shock absorption, thus the bidirectional anti-pulling sliding device can resist tension produced by over-turning moment. In addition, the seismic response obtained through the established dynamic model in this paper was basically consistent with that by numerical integration solution of FEM, showing the correctness of the established dynamic model and the solving method.
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