Hybrid Laplace-Time Domain Approach for Nonlinear Dynamic Soil-Structure Interaction Problems

Abstract eng:
Nonlinear dynamic soil-structure interaction problems are usually solved by a substructuring technique where the soil-structure system is decomposed into two sub-domains: the nonlinear structure, which can also include a part of the soil showing a nonlinear behavior, and the linear unbounded soil. The present work considers the case where the problem is localized on the building. The effects of the unbounded soil are then represented as a particular type of boundary condition by means of the so-called impedance operator, assumed to be known in the Laplace domain. In this framework, since nonlinearities are taken into account, the problem has to be solved in the time domain. Consequently, the interaction forces are expressed in terms of the Laplace-domain impedance results as a convolution integral between the time impedance coefficients and the nodal displacements located on the interface. In order to compute this convolution product a hybrid Laplace-time domain approach based on a Convolution Quadrature Method is introduced. It allows to express this convolution not only in terms of displacements but also in terms of accelerations and velocities convolutions. The proposed method is finally tested on a soil-structure application modeled with a lumped-parameter system. Satisfactory results are obtained when an elasto-plastic behaviour is accounted for.

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