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A COMPLETE TIME-HARMONIC RADIATION BOUNDARY
FOR DISCRETE ELASTODYNAMIC MODELS
by
Alex Yuhwen Chien
A Dissertation Presented to the
FACULTY OF THE GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(CIVIL ENGINEERING)
May 2007
Copyright 2007 Alex Yuhwen Chien
Object Description
| Title | A complete time-harmonic radiation boundary for discrete elastodynamic models |
| Author | Chien, Alex Yuhwen |
| Author email | alex@vizkits.com |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Civil Engineering |
| School | Viterbi School of Engineering |
| Date defended/completed | 2006-12-08 |
| Restricted until | Unrestricted |
| Advisor (committee chair) | Wong, Hung Leung |
| Advisor (committee member) |
Lee, Vincent W. Trifunac, Mihailo D. Wellford, L. Carter Wang, Chunming |
| Abstract | A complete radiation boundary has been designed for time-harmonic wave propagation problems in an elastic medium. The algorithm was designed without computational efficiency in mind; the purpose is to obtain a totally transparent boundary for two- or three-dimensional discrete models such as finite elements and finite differences. The displacement values at a grid of nodes external to the artificial boundary is calculated using an integral representation obtained by the reciprocity properties of a viscoelastic medium. The required values are the displacements and tractions at the artificial boundary and the Green's functions appropriate for the model. This algorithm results in a full complex matrix for nodes associated with the artificial boundary and the results are complex because of the presence of radiative damping from outgoing waves escaping the interior model. At first glance, the proposed method appears to be inefficent and restrictive, but it allows the model size to be reduced significantly because this method can eliminate all outgoingwaves without specific geometrical restrictions. With this method, a class of difficult linear problems in soil-structure interaction and wave propagation can now be solved. |
| Keyword | radiation boundary; wave propagation; soil-structure interaction; finite element |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Type | texts |
| Legacy record ID | usctheses-m292 |
| Rights | Chien, Alex Yuhwen |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/ |
| Filename | etd-Chien-20070226 |
| Archival file | uscthesesreloadpub_Volume23/etd-Chien-20070226.pdf |
Description
| Title | Page 1 |
| Full text | A COMPLETE TIME-HARMONIC RADIATION BOUNDARY FOR DISCRETE ELASTODYNAMIC MODELS by Alex Yuhwen Chien A Dissertation Presented to the FACULTY OF THE GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (CIVIL ENGINEERING) May 2007 Copyright 2007 Alex Yuhwen Chien |
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