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DIFFRACTION OF SH-WAVES BY SURFACE OR SUB-SURFACE
TOPOGRAPHIES WITH APPLICATION TO SOIL-STRUCTURE
INTERACTION ON SHALLOW FOUNDATIONS
by
Hao Luo
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)
December 2008
Copyright 2008 Hao Luo
Object Description
| Title | Diffraction of SH-waves by surface or sub-surface topographies with application to soil-structure interaction on shallow foundations |
| Author | Luo, Hao |
| Author email | haoluo@usc.edu; haoluo1979@gmail.com |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Civil Engineering |
| School | Viterbi School of Engineering |
| Date defended/completed | 2008-09-29 |
| Date submitted | 2008 |
| Restricted until | Restricted until 11 Dec. 2009. |
| Date published | 2009-12-11 |
| Advisor (committee chair) | Lee, Vincent W. |
| Advisor (committee member) |
Wong, Hung L. Wang, Chunming |
| Abstract | Seismic response of local sites is a significant problem that has been broadly researched for decades. It is an essential step in evaluating maximum intensity of earthquake effects for a specified local site that might happen in the future considering the effects of local topography or various massive artificial structures nearby, so it is crucial to seismic hazard, risk analysis, and earthquake microzonation. Seismic waves can be categorized into body waves and surface waves. Among the three types of body waves: P-, SV-, and SH-waves, the response of SH-waves, is restrained to the out-of-plane unidirection, thus is the most fundamental one and studied in this dissertation.; The objectives of this dissertation are: first, to explore diffraction of incident plane or cylindrical SH-waves by various topographies or underground irregularities; secondly, to investigate the Soil-Structure Interaction (SSI) effects. Two-dimensional plane strain models studied are as diverse as ground surface irregularities (e.g., hills, canyons, canyons), geotechnical engineering (e.g., tunnels, underground cavities, excavations, foundations), and Soil-Structure Interaction models with non-, rigid, or flexible foundations. Although the geometries adopted in those models are relatively much simpler than the ones by numerical methods, the analytical solutions gained by these simple models are indispensable in verifying solutions by various numerical methods (e.g., Finite Element Method; Boundary Element Method). All the models attempted are sitting or encased in an elastic half-space. All the materials appeared are isotropic, homogeneous, and perfectly elastic.; Wave function expansion method is used for solving all the mathematical models in an analytical scheme. The model is computed by mathematically assembling different segments together on their interfaces adjacent to each other. Finally, the problem is reduced to solving a series of infinite linear equations. The governing finite linear equation systems after truncation via this way are always ill-conditioned that require carefully coped with to ensure the accuracy of solutions.; With the analytical solution attained, the response of displacement and stress along the free ground surface are discussed. Displacement and stress residues are calculated to verify the validity of those numerical results. Great effects on dynamic stress concentration and motion nearby due to the existence of those irregularities are observed, evaluated, and analyzed. |
| Keyword | analytical solution; earthquake waves; SH-waves; soil-structure interaction; topography; wave propagation |
| 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 |
| Provenance | Electronically uploaded by the author |
| Type | texts |
| Legacy record ID | usctheses-m1913 |
| Rights | Luo, Hao |
| 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-LUO-2475 |
| Archival file | uscthesesreloadpub_Volume17/etd-LUO-2475.pdf |
Description
| Title | Page 1 |
| Full text | DIFFRACTION OF SH-WAVES BY SURFACE OR SUB-SURFACE TOPOGRAPHIES WITH APPLICATION TO SOIL-STRUCTURE INTERACTION ON SHALLOW FOUNDATIONS by Hao Luo 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) December 2008 Copyright 2008 Hao Luo |
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