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Linear and nonlinear seismic Rayleigh waves with damping: a heuristic direct method

In this study, nonlinearity in earthquake is investigated for the propagating seismic waves instead of linear waves. Assuming the presence of nonlinear effects in this earthquake modeling, the Rayleigh waves are formed by incorporating the nonlinear sine-Gordon equation into the linear asymptotic go...

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Main Authors: Ling, Dennis Chuan Ching, Abdul Aziz, Zainal, Salah Yusof, Faisal
Format: Article
Published: A N S I Network 2011
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/45020/
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spelling my.utm.450202017-09-28T03:05:42Z http://eprints.utm.my/id/eprint/45020/ Linear and nonlinear seismic Rayleigh waves with damping: a heuristic direct method Ling, Dennis Chuan Ching Abdul Aziz, Zainal Salah Yusof, Faisal QA Mathematics In this study, nonlinearity in earthquake is investigated for the propagating seismic waves instead of linear waves. Assuming the presence of nonlinear effects in this earthquake modeling, the Rayleigh waves are formed by incorporating the nonlinear sine-Gordon equation into the linear asymptotic governing equations for finding similarity reduction. The existence of reduction to the modified asymptotic governing equations is demonstrated and is consequently shown to give both the linear and nonlinear Rayleigh waves solutions. The related velocity and amplitude dependent Rayleigh waves are obtained and also the nonlinear form of Rayleigh waves. Multiple nonlinear surface displacements are identified. These nonlinear waves are shown to leave the trails of crucial surface displacements. A N S I Network 2011 Article PeerReviewed Ling, Dennis Chuan Ching and Abdul Aziz, Zainal and Salah Yusof, Faisal (2011) Linear and nonlinear seismic Rayleigh waves with damping: a heuristic direct method. Journal of Applied Sciences, 11 (2). pp. 275-283. ISSN 1812-5654
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Ling, Dennis Chuan Ching
Abdul Aziz, Zainal
Salah Yusof, Faisal
Linear and nonlinear seismic Rayleigh waves with damping: a heuristic direct method
description In this study, nonlinearity in earthquake is investigated for the propagating seismic waves instead of linear waves. Assuming the presence of nonlinear effects in this earthquake modeling, the Rayleigh waves are formed by incorporating the nonlinear sine-Gordon equation into the linear asymptotic governing equations for finding similarity reduction. The existence of reduction to the modified asymptotic governing equations is demonstrated and is consequently shown to give both the linear and nonlinear Rayleigh waves solutions. The related velocity and amplitude dependent Rayleigh waves are obtained and also the nonlinear form of Rayleigh waves. Multiple nonlinear surface displacements are identified. These nonlinear waves are shown to leave the trails of crucial surface displacements.
format Article
author Ling, Dennis Chuan Ching
Abdul Aziz, Zainal
Salah Yusof, Faisal
author_facet Ling, Dennis Chuan Ching
Abdul Aziz, Zainal
Salah Yusof, Faisal
author_sort Ling, Dennis Chuan Ching
title Linear and nonlinear seismic Rayleigh waves with damping: a heuristic direct method
title_short Linear and nonlinear seismic Rayleigh waves with damping: a heuristic direct method
title_full Linear and nonlinear seismic Rayleigh waves with damping: a heuristic direct method
title_fullStr Linear and nonlinear seismic Rayleigh waves with damping: a heuristic direct method
title_full_unstemmed Linear and nonlinear seismic Rayleigh waves with damping: a heuristic direct method
title_sort linear and nonlinear seismic rayleigh waves with damping: a heuristic direct method
publisher A N S I Network
publishDate 2011
url http://eprints.utm.my/id/eprint/45020/
_version_ 1643651618166538240
score 13.211869

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