Abstract
A computational scheme coupling the Bounday Elemcnt and the Finite Element methods in direct time domain is presented. The proposed approach is specialized for the solution of 3-D dynamic soil-structure interaction problems. The BEM. in con.junction with the B-spline fundamental solutions, is employed for the representation of the semi-infinite soil region. The time domain solution of this region is obtained in tcvo steps: first. the B-spline impulse response is obtained and? subsequently. the response to arbitrary excitations is computed b> an appropriate superposition of the impulse responses. The FEM is used for the representation of the structural component. T\vo well-known time stepping algorithms (the Newmark-P and the backxvard differencc) are implemented within the FEM solver. The coupling of the BEM and the FEM is achieved imposing conditions of equilibrium of forces and continuity of displacements at the interface nodal points. A computationally efficient staggered algorithm for the computation of the dynamic response of the entire system directly in time domain is devised. The computational efficiency and accuracy of the proposed scheme is illustrated via two numerical esamples, involving cross interaction of massive foundations and the dynamic response of a hvo-story building.
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