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The seismic responses of offshore structures and dams can be affected by the water-structure interaction. The structures are commonly modelled by finite element method (FEM). If the infinite water layer is also modelled by FEM, then the computational costs are high. In this paper, an accurate and efficient substructure method is presented in a frequency domain for a 2D water-structure interaction analysis, in which the modified scaled boundary finite element method (SBFEM) is applied at a general shaped water-structure interface to replace the compressible water layer. Several numerical examples, including offshore structures and a typical-geometry gravity dam, are provided to demonstrate the computational efficiency and accuracy of the proposed substructure method. The effects of hydrodynamic pressure, water compressibility and structure geometry on the seismic responses of offshore structures are analysed based on the proposed method.
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