A Hamiltonian-based Derivation of Scaled Boundary Finite Element Method for Dam-Reservoir Interaction

摘要

Dam-reservoir interaction is one of important factors to be considered in the evaluation of the seismic response of concrete dams. The Scaled Boundary Finite Element Method (Simply denoted as SBFEM) is one of effective approaches to simulate the hydrodynamic pressure on the dam surface when the dam are subjected to the earthquake excitation. In this paper, the SBFEM governing equations for hydrodynamic pressure on dam surface are reformulated based on the Hamiltonian dual system method. The key feature of the proposed method is that the derivation is approachable and straightforward in the framework of Dual system method. Both the governing equations on field variables and auxiliary variables can be obtained directly.