A FAST BIEM ALGORITHM TO EVALUATE SEISMIC GROUND RESPONSE IN 2D ELASTIC TIME DOMAIN

mohsen kamalian, Mohammad Saffar

Abstract


Since the topography and surface irregularities of the terrain have a significant effect on the seismic response of the earth's surface, the numerical analysis using boundary element method in elastodynamics, which leads to a significant increase in the number of DOF and stiffness matrix dimension, as well as the sparse and unsymmetrical structure of stiffness matrix, indicates the inefficiency of the conventional method. This paper presents a fast boundary element algorithm in seismic analysis of two-dimensional elastic media for the first time. In the proposed method, instead of the usual node-to-node, a method of cell-to-cell relation method is implemented by hierarchy tree structure. In addition, the Plane Wave Time Domain algorithm and the Iterative method has been used to solve a system of equations which increases the speed of network convergence, especially in high degrees of freedom that has not been used in the study of the seismic waves’ response yet. Nowadays, this new algorithm adopts for investigating the response wave fields of electrical, magnet [1], acoustic and thermal conductivity which are discussed in details in various articles and books.


Keywords


Plane Wave Time Domain (PWTD), Fast Boundary Element, Iterative Solver, Hierarchy tree, Degree of Freedom (DOF)

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References


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