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A theoretical analysis approach of the compound seismic isolation system consisting of DFPS and dish spring is derived. It starts from the relative kinematic energy theorem in multiply-body dynamics, including the coupling effect of the level vibration and vertical vibration. Computation results show that this system has the necessary isolation capability and reposition capability in both directions; the slipping friction forces at the contacting surface provide the energy dissipation capability. When the slide radius is in the range of 1-2 m and the slipping friction coefficient is about 0.01, the seismic isolation effectiveness can be as high as 85%, while the coupling effect in two directions is so slight that it can be neglected and the dynamic responses can be calculated in each direction, respectively.
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