File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Riesz basis property, exponential stability of variable coefficient Euler-Bernoulli beams with indefinite damping

TitleRiesz basis property, exponential stability of variable coefficient Euler-Bernoulli beams with indefinite damping
Authors
KeywordsEuler-Bernoulli beam
Exponential stability
Riesz basis property
Variable coefficient
Issue Date2005
PublisherOxford University Press. The Journal's web site is located at http://imamat.oxfordjournals.org/
Citation
IMA Journal Of Applied Mathematics (Institute Of Mathematics And Its Applications), 2005, v. 70 n. 3, p. 459-477 How to Cite?
AbstractWe study damped Euler-Bernoulli beams that have nonuniform thickness or density. These nonuniform features result in variable coefficient beam equations. We prove that despite the nonuniform features, the eigenfunctions of the beam form a Riesz basis and asymptotic behaviour of the beam system can be deduced without any restrictions on the sign of the damping. We also provide an answer to the frequently asked question on damping: 'How much more positive than negative should the damping be without disrupting the exponential stability?', and result in a criterion condition which ensures that the system is exponentially stable. © The Author 2005. Published by Oxford University Press on behalf of The Institute of Mathematics and its Applications. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/75329
ISSN
2015 Impact Factor: 1.034
2015 SCImago Journal Rankings: 0.329
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWang, JMen_HK
dc.contributor.authorXu, GQen_HK
dc.contributor.authorYung, SPen_HK
dc.date.accessioned2010-09-06T07:10:06Z-
dc.date.available2010-09-06T07:10:06Z-
dc.date.issued2005en_HK
dc.identifier.citationIMA Journal Of Applied Mathematics (Institute Of Mathematics And Its Applications), 2005, v. 70 n. 3, p. 459-477en_HK
dc.identifier.issn0272-4960en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75329-
dc.description.abstractWe study damped Euler-Bernoulli beams that have nonuniform thickness or density. These nonuniform features result in variable coefficient beam equations. We prove that despite the nonuniform features, the eigenfunctions of the beam form a Riesz basis and asymptotic behaviour of the beam system can be deduced without any restrictions on the sign of the damping. We also provide an answer to the frequently asked question on damping: 'How much more positive than negative should the damping be without disrupting the exponential stability?', and result in a criterion condition which ensures that the system is exponentially stable. © The Author 2005. Published by Oxford University Press on behalf of The Institute of Mathematics and its Applications. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherOxford University Press. The Journal's web site is located at http://imamat.oxfordjournals.org/en_HK
dc.relation.ispartofIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)en_HK
dc.subjectEuler-Bernoulli beamen_HK
dc.subjectExponential stabilityen_HK
dc.subjectRiesz basis propertyen_HK
dc.subjectVariable coefficienten_HK
dc.titleRiesz basis property, exponential stability of variable coefficient Euler-Bernoulli beams with indefinite dampingen_HK
dc.typeArticleen_HK
dc.identifier.emailYung, SP:spyung@hkucc.hku.hken_HK
dc.identifier.authorityYung, SP=rp00838en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1093/imamat/hxh043en_HK
dc.identifier.scopuseid_2-s2.0-20444423784en_HK
dc.identifier.hkuros98094en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-20444423784&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume70en_HK
dc.identifier.issue3en_HK
dc.identifier.spage459en_HK
dc.identifier.epage477en_HK
dc.identifier.isiWOS:000229441300006-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridWang, JM=7701333092en_HK
dc.identifier.scopusauthoridXu, GQ=7404263948en_HK
dc.identifier.scopusauthoridYung, SP=7006540951en_HK
dc.identifier.citeulike214983-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats