考虑库水的可压缩性和库底的吸收作用，在比例边界有限元方法的框架中推导并求解了在竖向激励下重力坝所受到的动水压力，实现了在地震作用下重力坝-库水相互作用的全方向求解，在频域和时域中均实现了对坝面动水压力的求解。数值算例结果表明，方法具有极高的精度，同时还发现在一定的条件下，垂直激励下动水压力响应对坝水系统存在较为重要的影响，此外，还对库水的压缩性以及库底的吸收作用对坝面的动水压力的影响也进行了研究。%The hydrodynamic pressures on gravity dams subjected to vertical earthquake component were calculated in a frame of Scaled Boundary Finite Element Method (SBFEM)considering the water compressibility and the absorption of reservoir bottom.The gravity dam-reservoir interaction was solved both in frequency domain and in time domain. Numerical examples show the proposed method is capable of achieving high degree of accuracy.It is concluded that the hydrodynamic pressures caused by vertical ground motion are of special importance in the analysis of gravity dams under some prescribed assumptions.The effects of water compressibility and bottom absorption on hydrodynamic behaviors were also discussed.
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