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Anti-plane (SH) waves diffraction by an underground semi-circular cavity: analytical solution.
- Source :
-
Earthquake Engineering & Engineering Vibration . Sep2010, Vol. 9 Issue 3, p385-396. 12p. 3 Diagrams, 6 Graphs. - Publication Year :
- 2010
-
Abstract
- Diffraction of a two-dimensional (2D) semi-circular cavity in a half-space under incident SH-waves is studied using the classic wave function expansion method with a new de-coupling technique. This so-called 'improved cosine halfrange expansion' algorithm exhibits an excellent performance in reducing displacement residual errors at two rim points of concern. The governing equations are developed in a manner that minimizes the residues of the boundary conditions. Detailed derivation and analysis procedures as well as truncation of infinite linear governing equations are presented. The semi-circular cavity model presented in this paper, due to its simple profile, is expected to be used in seismic wave propagation studies as a benchmark for examining the accuracies of various analytical or numerical methods for mixed-boundary wave propagation problems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16713664
- Volume :
- 9
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Earthquake Engineering & Engineering Vibration
- Publication Type :
- Academic Journal
- Accession number :
- 54286183
- Full Text :
- https://doi.org/10.1007/s11803-010-0023-3