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Development of TD-BEM Formulation for Dynamic Analysis for Twin-Parallel Circular Tunnels in an Elastic Semi-innite Medium

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Computer Modeling in Engineering & Sciences 2021年第2期126卷 577-597页

作者： Weidong Lei Hai Zhou Hongjun Li Rui Chen School of Civil and Environmental Engineering Harbin Institute of TechnologyShenzhen518055China Urban and Rural Construction Institute Hebei Agricultural UniversityBaoding071001China

In order to simulate the propagation process of subway vibration of parallel tunnels in semi-infinite rocks or soils,time domain boundary element method(TD-BEM)formulation for analyzing the dynamic response of twin-parallel circular tunnels in an elastic semi-infinite medium is developed in this *** time domain boundary integral equations of displacement and stress for the elastodynamic problem are presented based on Betti’s reciprocal work theorem,ignoring contributions from initial conditions and body *** the process of establishing time domain boundary integral equations,some virtual boundaries are constructed between finite boundaries and the free boundary to form a boundary to refer to the time domain boundary integral equations for a single circular tunnel under dynamic *** numerical treatment and solving process of time domain boundary integral equations are given in detail,including temporal discretization,spatial discretization and the assembly of the influencing *** the process of the numerical implementation,infinite boundary elements are incorporated in time domain boundary element method formulation to satisfy stress free conditions on the ground surface,in addition,to reduce the discretization of the boundary of the ground *** applicability and efficiency of the presented time domain boundary element formulation are verified by a deliberately designed example.

关键词： Time-domain boundary element method twin-parallel tunnels innite boundary elements elastic semiinnite medium

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