Nonlinear Seismic Analysis of Arch Dams with Contraction Joints and Dam-Water-Foundation Interaction

Abstract eng:
A new algorithm—Mixed Finite Element Method, was proposed for nonlinear dynamic fictional contact problems of high arch dams with contraction joints. Based on this method, the system of forces acting on the contactor was divided into two parts: external forces and contact forces. The displacements of contactor were chosen as the basic variables and the nodal contact forces on possible contact region were chosen as the iterate variables, so that the nonlinear iteration process was only limited on the possible contact surface. In this way, the sophisticated contact nonlinearity was shown by the variety of the contact forces. Thus the iterative procedure became easily to be carried out and much more economical. The numerical method for the analysis of dynamic dam-water-interaction, integrated solution base on the generalized Newmark-β direct integral method, was discussed to establish a method which is fairly simplified but without loss of accuracy for the simulation of the dynamic pressure of the water. The artificial multi-transmitting boundary condition with implicit finite element algorithm is applied to the nonlinear seismic analysis of high arch dams together with the mixed finite element method for fictional contact problems and the algorithm for dam-water-interaction. In this way, a fairly perfect and high efficiency analysis method for seismic analysis of arch dams with contraction joints and dam-water-foundation interaction. Some valuable conclusions were obtained from the calculation and analysis of the seismic response of a high arch dam following the proposed method.

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