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Multi‐directional transmitting boundaries for steady‐state SH waves
Author(s) -
Liao Z. P.,
Yang G.
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.4290240305
Subject(s) - boundary (topology) , neighbourhood (mathematics) , geometry , acoustics , node (physics) , boundary value problem , computation , steady state (chemistry) , excitation , physics , mathematical analysis , mathematics , algorithm , quantum mechanics , chemistry
The incident steady‐state SH waves in the neighbourhood of a boundary node point are first expanded in terms of a few plane waves at different incident angles, the motion of the boundary point is then related to those of its adjacent node points to form the multi‐directional transmitting boundary conditions, which reduce reflections from the boundary over the entire range of incident angles. This feature of the boundaries is demonstrated by finite element computations of SH motions of a layer fixed at its base, in which the incident wave may travel parallel to the boundary as the frequency of excitation approaches one of the natural frequencies of the system.