Abstract

In the last years, much attention has been paid to the dynamic responses and failure of roof slab of underground box-type structures; but, less attention has been paid to the dynamic responses and failure of bottom slab of underground structures. The seismic damage to bottom slabs should not be neglected because, under seismic actions, bottom slabs may fracture and bulge and produce adverse effects on the other parts of the structure. Therefore, the seismic response of bottom slabs should be considered in aseismic design of underground structures. In this paper, dynamic response of rectangular bottom slab of box-type underground structure under vertical seismic action was studied. In view of the complexity of dynamic soil-underground structure interaction analysis, and in order to simplify the analysis, the authors consider the roof slab and side wall as rigid ones. Only the deformation of the bottom slab was considered. Hinged and clamped connections between the bottom slab and side walls were considered. The eigenfunctions of motion equation of the bottom slab were obtained with consideration of the restraints of the side walls on the bottom slab, and the analytical solution of forced dynamic response of the bottom slab under vertical seismic action was obtained.

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