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2‐D transient soil–surface foundation interaction and wave propagation by time domain BEM
Author(s) -
Takemiya Hirokazu,
Fei Guan,
Sukeyasu Yoshiki
Publication year - 1994
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.4290230902
Subject(s) - heaviside step function , boundary element method , singularity , time domain , boundary value problem , rayleigh wave , mathematical analysis , surface (topology) , surface wave , mathematics , geometry , engineering , physics , structural engineering , finite element method , computer science , optics , computer vision
This paper shows an effective implementation of the half‐plane Green function for surface strip impulses (Lamb's problem), which was previously developed in a closed form by the authors, into the time‐domain boundary element method for the analysis of related initial boundary value problems. The time‐stepping algorithm utilizing Heaviside step function makes the solution process free from the Rayleigh wave front singularity. Illustrative analyses performed include that: First, the response due to an impulsive uniform strip loading is dealt with in order to check the accuracy of the present solution and to interpret the associated wave motion in the medium. Second, a rigid massless strip surface foundation is analysed when subjected to various impulsive loadings in vertical, horizontal and rotational directions to observe which wave is most concerned with the respective foundation motion. The field response is also of interest with respect to distance attenuation. Third, the dynamic cross‐interaction between active and passive foundations through soil is investigated when multiple strip foundations are placed separately on a half‐space with a certain distance.