Scattering of SH Waves by Truncated Semicircular Canyon
Publication: Journal of Engineering Mechanics
Volume 135, Issue 8
Abstract
The judicious region-matching technique is adopted to derive a series solution for shear horizontal waves scattering from a truncated semicircular canyon on the ground surface. A circular-arc auxiliary boundary is introduced to divide the analyzed region into two subregions. The antiplane motion of each subregion is represented in terms of an infinite series of cylindrical wavefunctions with unknown coefficients. By employing the Graf’s addition formula, boundary conditions on the curved canyon surface and continuity conditions on the auxiliary boundary, the unknown coefficients can be determined. Two modifications of the present theoretical derivation are done for the semicircular canyon and free surface cases. The plotted results reveal how the surface displacement amplitudes are influenced by varying the truncation depth.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 8 • August 2009
Pages: 862 - 870
Copyright
© 2009 ASCE.
History
Received: Mar 30, 2007
Accepted: Feb 9, 2009
Published online: Jul 15, 2009
Published in print: Aug 2009
Notes
Note. Associate Editor: Lambros S. Katafygiotis
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