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Article: Eigenfrequencies of Tapered Beams with Intermediate Point Supports

TitleEigenfrequencies of Tapered Beams with Intermediate Point Supports
Authors
Issue Date1998
PublisherMulti-Science Publishing Co Ltd. The Journal's web site is located at http://www.multi-science.co.uk/space.htm
Citation
International Journal Of Space Structures, 1998, v. 13 n. 2, p. 87-95 How to Cite?
AbstractThis paper studies the vibrational characteristics of multi-span beams with continuously varying rectangular cross-section of depth and breadth proportional to xs and xt respectively where s and t may be given arbitrary real numbers for a truncated beam and arbitrary positive numbers for a sharp ended beam and x is the coordinate along the centreline of the beam, measured from the sharp end of the beam. The Bernoulli-Euler theory of bending is used to describe the dynamic deflection of the beam. A new set of admissible functions are developed from the static solutions of the tapered beam with intermediate point supports under a Taylor series of loads. The unknown coefficients in the static beam functions are uniquely determined by the boundary conditions and the zero displacement conditions at the locations of the point supports. The eigenfrequency equation is derived by the Rayleigh-Ritz method. The numerical results are tabulated for both truncated and sharp ended beams with one and two intermediate point supports and compared with other existing values in the literature. Good agreement is observed. It is shown that the first few eigenfrequencies can be obtained with high accuracy by the present models and only a small number of terms of the static beam functions has been used.
Persistent Identifierhttp://hdl.handle.net/10722/71613
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorDing, Zen_HK
dc.contributor.authorCheung, YKen_HK
dc.date.accessioned2010-09-06T06:33:35Z-
dc.date.available2010-09-06T06:33:35Z-
dc.date.issued1998en_HK
dc.identifier.citationInternational Journal Of Space Structures, 1998, v. 13 n. 2, p. 87-95en_HK
dc.identifier.issn0266-3511en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71613-
dc.description.abstractThis paper studies the vibrational characteristics of multi-span beams with continuously varying rectangular cross-section of depth and breadth proportional to xs and xt respectively where s and t may be given arbitrary real numbers for a truncated beam and arbitrary positive numbers for a sharp ended beam and x is the coordinate along the centreline of the beam, measured from the sharp end of the beam. The Bernoulli-Euler theory of bending is used to describe the dynamic deflection of the beam. A new set of admissible functions are developed from the static solutions of the tapered beam with intermediate point supports under a Taylor series of loads. The unknown coefficients in the static beam functions are uniquely determined by the boundary conditions and the zero displacement conditions at the locations of the point supports. The eigenfrequency equation is derived by the Rayleigh-Ritz method. The numerical results are tabulated for both truncated and sharp ended beams with one and two intermediate point supports and compared with other existing values in the literature. Good agreement is observed. It is shown that the first few eigenfrequencies can be obtained with high accuracy by the present models and only a small number of terms of the static beam functions has been used.en_HK
dc.languageengen_HK
dc.publisherMulti-Science Publishing Co Ltd. The Journal's web site is located at http://www.multi-science.co.uk/space.htmen_HK
dc.relation.ispartofInternational Journal of Space Structuresen_HK
dc.titleEigenfrequencies of Tapered Beams with Intermediate Point Supportsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0956-0599&volume=13 &issue=2&spage=87 &epage= 95&date=1998&atitle=Eigenfrequencies+of+tapered+beams+with+intermediate+point+supportsen_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0032297102en_HK
dc.identifier.hkuros39737en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0032297102&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume13en_HK
dc.identifier.issue2en_HK
dc.identifier.spage87en_HK
dc.identifier.epage95en_HK
dc.identifier.scopusauthoridDing, Z=7401550597en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK

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