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Article: Vibration of vertical rectangular plate in contact with water on one side

TitleVibration of vertical rectangular plate in contact with water on one side
Authors
KeywordsAnalytical-Ritz method
Fluid-plate interaction
Hydroelastic dynamics
Rectangular plate
Structural dynamics
Vibration
Issue Date2000
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1922
Citation
Earthquake Engineering And Structural Dynamics, 2000, v. 29 n. 5, p. 693-710 How to Cite?
AbstractIn this paper, the vibratory characteristics of a rectangular plate in contact with water on one side are studied. The elastic plate is considered to be a part of a vertical rectangular rigid wall in contact with water, the edges of which are elastically restrained and parallel to those of the rigid wall. The location and size of the plate on the rigid wall may vary arbitrarily. The water with a free surface is in a rectangular domain infinite in the length direction. The effects of free surface waves, compressibility of the water and the hydrostatic water pressure are neglected in the analysis. An analytical-Ritz method is developed to analyse the interaction of the plate-water system. First of all, by using the method of separation of variables and the method of Fourier series expansion, the exact expression of the motion of water is derived in the form of integral equations including the dynamic deformation of the plate. Then the Rayleigh-Ritz approach is used to derive the eigenfrequency equation of the system via the variational principle of energy. By selecting beam vibrating functions as the admissible functions of the plate, the added virtual mass incremental (AVMI) matrices for plate vibration are obtained. The convergency studies are carried out. The effects of some parameters such as the depth and width of water, the support stiffnesses, location and aspect ratio of the plate and the plate-water size and density ratios on the eigenfrequencies of the plate-water system are investigated. Several numerical examples are given. The validity of AVMI factor approach is also confirmed by comparing the AVMI factor solutions with the analytical-Ritz solutions. The results show that the approach presented here can also be used as excellent approximate solutions for rectangular plates in contact with water of infinite width and/or infinite depth. Copyright (C) 2000 John Wiley and Sons, Ltd. | In this paper, the vibratory characteristics of a rectangular plate in contact with water on one side are studied. The elastic plate is considered to be a part of a vertical rectangular rigid wall in contact with water, the edges of which are elastically restrained and parallel to those of the rigid wall. The location and size of the plate on the rigid wall may vary arbitrarily. The water with a free surface is in a rectangular domain infinite in the length direction. The effects of free surface waves, compressibility of the water and the hydrostatic water pressure are neglected in the analysis. An analytical-Ritz method is developed to analyse the interaction of the plate-water system. First of all, by using the method of separation of variables and the method of Fourier series expansion, the exact expression of the motion of water is derived in the form of integral equations including the dynamic deformation of the plate. Then the Rayleigh-Ritz approach is used to derive the eigenfrequency equation of the system via the variational principle of energy. By selecting beam vibrating functions as the admissible functions of the plate, the added virtual mass incremental (AVMI) matrices for plate vibration are obtained. The convergency studies are carried out. The effects of some parameters such as the depth and width of water, the support stiffnesses, location and aspect ratio of the plate and the plate-water size and density ratios on the eigenfrequencies of the plate-water system are investigated. Several numerical examples are given. The validity of AVMI factor approach is also confirmed by comparing the AVMI factor solutions with the analytical-Ritz solutions. The results show that the approach presented here can also be used as excellent approximate solutions for rectangular plates in contact with water of infinite width and/or infinite depth.
Persistent Identifierhttp://hdl.handle.net/10722/70604
ISSN
2015 Impact Factor: 2.127
2015 SCImago Journal Rankings: 2.921
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_HK
dc.contributor.authorCheung, YKen_HK
dc.date.accessioned2010-09-06T06:24:28Z-
dc.date.available2010-09-06T06:24:28Z-
dc.date.issued2000en_HK
dc.identifier.citationEarthquake Engineering And Structural Dynamics, 2000, v. 29 n. 5, p. 693-710en_HK
dc.identifier.issn0098-8847en_HK
dc.identifier.urihttp://hdl.handle.net/10722/70604-
dc.description.abstractIn this paper, the vibratory characteristics of a rectangular plate in contact with water on one side are studied. The elastic plate is considered to be a part of a vertical rectangular rigid wall in contact with water, the edges of which are elastically restrained and parallel to those of the rigid wall. The location and size of the plate on the rigid wall may vary arbitrarily. The water with a free surface is in a rectangular domain infinite in the length direction. The effects of free surface waves, compressibility of the water and the hydrostatic water pressure are neglected in the analysis. An analytical-Ritz method is developed to analyse the interaction of the plate-water system. First of all, by using the method of separation of variables and the method of Fourier series expansion, the exact expression of the motion of water is derived in the form of integral equations including the dynamic deformation of the plate. Then the Rayleigh-Ritz approach is used to derive the eigenfrequency equation of the system via the variational principle of energy. By selecting beam vibrating functions as the admissible functions of the plate, the added virtual mass incremental (AVMI) matrices for plate vibration are obtained. The convergency studies are carried out. The effects of some parameters such as the depth and width of water, the support stiffnesses, location and aspect ratio of the plate and the plate-water size and density ratios on the eigenfrequencies of the plate-water system are investigated. Several numerical examples are given. The validity of AVMI factor approach is also confirmed by comparing the AVMI factor solutions with the analytical-Ritz solutions. The results show that the approach presented here can also be used as excellent approximate solutions for rectangular plates in contact with water of infinite width and/or infinite depth. Copyright (C) 2000 John Wiley and Sons, Ltd. | In this paper, the vibratory characteristics of a rectangular plate in contact with water on one side are studied. The elastic plate is considered to be a part of a vertical rectangular rigid wall in contact with water, the edges of which are elastically restrained and parallel to those of the rigid wall. The location and size of the plate on the rigid wall may vary arbitrarily. The water with a free surface is in a rectangular domain infinite in the length direction. The effects of free surface waves, compressibility of the water and the hydrostatic water pressure are neglected in the analysis. An analytical-Ritz method is developed to analyse the interaction of the plate-water system. First of all, by using the method of separation of variables and the method of Fourier series expansion, the exact expression of the motion of water is derived in the form of integral equations including the dynamic deformation of the plate. Then the Rayleigh-Ritz approach is used to derive the eigenfrequency equation of the system via the variational principle of energy. By selecting beam vibrating functions as the admissible functions of the plate, the added virtual mass incremental (AVMI) matrices for plate vibration are obtained. The convergency studies are carried out. The effects of some parameters such as the depth and width of water, the support stiffnesses, location and aspect ratio of the plate and the plate-water size and density ratios on the eigenfrequencies of the plate-water system are investigated. Several numerical examples are given. The validity of AVMI factor approach is also confirmed by comparing the AVMI factor solutions with the analytical-Ritz solutions. The results show that the approach presented here can also be used as excellent approximate solutions for rectangular plates in contact with water of infinite width and/or infinite depth.en_HK
dc.languageengen_HK
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1922en_HK
dc.relation.ispartofEarthquake Engineering and Structural Dynamicsen_HK
dc.rightsEarthquake Engineering and Structural Dynamics. Copyright © John Wiley & Sons Ltd.en_HK
dc.subjectAnalytical-Ritz methoden_HK
dc.subjectFluid-plate interactionen_HK
dc.subjectHydroelastic dynamicsen_HK
dc.subjectRectangular plateen_HK
dc.subjectStructural dynamicsen_HK
dc.subjectVibrationen_HK
dc.titleVibration of vertical rectangular plate in contact with water on one sideen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0098-8847&volume=29&spage=693 &epage= 710&date=2000&atitle=Vibration+of+vertical+rectangular+plate+in+contact+with+water+on+one+sideen_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/(SICI)1096-9845(200005)29:5<693::AID-EQE934>3.0.CO;2-Ven_HK
dc.identifier.scopuseid_2-s2.0-0034063259en_HK
dc.identifier.hkuros49221en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0034063259&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume29en_HK
dc.identifier.issue5en_HK
dc.identifier.spage693en_HK
dc.identifier.epage710en_HK
dc.identifier.isiWOS:000086702300009-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK

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