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Dynamic analysis of large 3‐D underground structures by the bem
Author(s) -
Stamos A. A.,
Beskos D. E.
Publication year - 1995
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290240609
Subject(s) - discretization , laplace transform , transient (computer programming) , boundary element method , viscoelasticity , half space , free surface , finite element method , boundary (topology) , time domain , harmonic , frequency domain , dynamic problem , transient response , mechanics , structural engineering , physics , engineering , mathematical analysis , mathematics , computer science , acoustics , mathematical optimization , electrical engineering , computer vision , thermodynamics , operating system
An up to date literature survey on the dynamics of underground structures is presented briefly. The dynamic response of large three‐dimensional underground structures to external or internal dynamic forces or to seismic waves is numerically determined by the frequency domain boundary element method. This method is used to model both the structure and the soil medium, which are assumed to behave as linear elastic or viscoelastic bodies. The full‐space dynamic fundamental solution is employed in the formulation and this requires a free soil surface discretization, confined to a finite portion around the area of interest, in addition to soil—structure interface and free structural surface discretizations. The dynamic disturbances can have a harmonic or a transient time variation. The transient case is treated with the aid of numerical Laplace transforms with respect to time. Various numerical examples involving lined cavities and long lined tunnels buried in the full‐ or the half‐space subjected to harmonic or transient external forces or seismic waves are presented to illustrate the method and demonstrate its advantages.