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Article: Three-dimensional vibration analysis of rectangular thick plates on Pasternak foundation
Title | Three-dimensional vibration analysis of rectangular thick plates on Pasternak foundation |
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Authors | |
Keywords | Eigen-frequency Elastic foundation Rectangular plate Ritz method Three-dimensional analysis Vibration |
Issue Date | 2004 |
Publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430 |
Citation | International Journal For Numerical Methods In Engineering, 2004, v. 59 n. 10, p. 1313-1334 How to Cite? |
Abstract | The free-vibration characteristics of rectangular thick plates resting on elastic foundations have been studied, based on the three-dimensional, linear and small strain elasticity theory. The foundation is described by the Pasternak (two-parameter) model. The Ritz method is used to derive the eigenvalue equation of the rectangular plate by augmenting the strain energy of the plate with the potential energy of the elastic foundation. The Chebyshev polynomials multiplied by a boundary function are selected as the admissible functions of the displacement functions in each direction. The approach is suitable for rectangular plates with arbitrary boundary conditions. Convergence and comparison studies have been performed on square plates on elastic foundations with different boundary conditions. It is shown that the present method has a rapid convergent rate, stable numerical operation and very high accuracy. Parametric investigations on the dynamic behaviour of clamped square thick plates on elastic foundations have been carried out in detail, with respect to different thickness-span ratios and foundation parameters. Some results found for the first time have been given and some important conclusions have been drawn. © 2004 John Wiley and Sons, Ltd. |
Persistent Identifier | http://hdl.handle.net/10722/71361 |
ISSN | 2023 Impact Factor: 2.7 2023 SCImago Journal Rankings: 1.019 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Zhou, D | en_HK |
dc.contributor.author | Cheung, YK | en_HK |
dc.contributor.author | Lo, SH | en_HK |
dc.contributor.author | Au, FTK | en_HK |
dc.date.accessioned | 2010-09-06T06:31:18Z | - |
dc.date.available | 2010-09-06T06:31:18Z | - |
dc.date.issued | 2004 | en_HK |
dc.identifier.citation | International Journal For Numerical Methods In Engineering, 2004, v. 59 n. 10, p. 1313-1334 | en_HK |
dc.identifier.issn | 0029-5981 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/71361 | - |
dc.description.abstract | The free-vibration characteristics of rectangular thick plates resting on elastic foundations have been studied, based on the three-dimensional, linear and small strain elasticity theory. The foundation is described by the Pasternak (two-parameter) model. The Ritz method is used to derive the eigenvalue equation of the rectangular plate by augmenting the strain energy of the plate with the potential energy of the elastic foundation. The Chebyshev polynomials multiplied by a boundary function are selected as the admissible functions of the displacement functions in each direction. The approach is suitable for rectangular plates with arbitrary boundary conditions. Convergence and comparison studies have been performed on square plates on elastic foundations with different boundary conditions. It is shown that the present method has a rapid convergent rate, stable numerical operation and very high accuracy. Parametric investigations on the dynamic behaviour of clamped square thick plates on elastic foundations have been carried out in detail, with respect to different thickness-span ratios and foundation parameters. Some results found for the first time have been given and some important conclusions have been drawn. © 2004 John Wiley and Sons, Ltd. | en_HK |
dc.language | eng | en_HK |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430 | en_HK |
dc.relation.ispartof | International Journal for Numerical Methods in Engineering | en_HK |
dc.rights | International Journal for Numerical Methods in Engineering. Copyright © John Wiley & Sons Ltd. | en_HK |
dc.subject | Eigen-frequency | en_HK |
dc.subject | Elastic foundation | en_HK |
dc.subject | Rectangular plate | en_HK |
dc.subject | Ritz method | en_HK |
dc.subject | Three-dimensional analysis | en_HK |
dc.subject | Vibration | en_HK |
dc.title | Three-dimensional vibration analysis of rectangular thick plates on Pasternak foundation | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0029-5981&volume=59&spage=1313&epage=1334&date=2004&atitle=Three-dimensional+vibration+analysis+of+rectangular+thick+plates+on+Pasternak+foundation | en_HK |
dc.identifier.email | Cheung, YK:hreccyk@hkucc.hku.hk | en_HK |
dc.identifier.email | Lo, SH:hreclsh@hkucc.hku.hk | en_HK |
dc.identifier.email | Au, FTK:francis.au@hku.hk | en_HK |
dc.identifier.authority | Cheung, YK=rp00104 | en_HK |
dc.identifier.authority | Lo, SH=rp00223 | en_HK |
dc.identifier.authority | Au, FTK=rp00083 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.scopus | eid_2-s2.0-1542539007 | en_HK |
dc.identifier.hkuros | 92802 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-1542539007&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 59 | en_HK |
dc.identifier.issue | 10 | en_HK |
dc.identifier.spage | 1313 | en_HK |
dc.identifier.epage | 1334 | en_HK |
dc.identifier.isi | WOS:000220032500003 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.identifier.scopusauthorid | Zhou, D=7403395115 | en_HK |
dc.identifier.scopusauthorid | Cheung, YK=7202111065 | en_HK |
dc.identifier.scopusauthorid | Lo, SH=7401542444 | en_HK |
dc.identifier.scopusauthorid | Au, FTK=7005204072 | en_HK |
dc.identifier.issnl | 0029-5981 | - |