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Article: Riesz basis property, exponential stability of variable coefficient Euler-Bernoulli beams with indefinite damping
Title | Riesz basis property, exponential stability of variable coefficient Euler-Bernoulli beams with indefinite damping |
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Authors | |
Keywords | Euler-Bernoulli beam Exponential stability Riesz basis property Variable coefficient |
Issue Date | 2005 |
Publisher | Oxford 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? |
Abstract | We 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 Identifier | http://hdl.handle.net/10722/75329 |
ISSN | 2023 Impact Factor: 1.4 2023 SCImago Journal Rankings: 0.389 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Wang, JM | en_HK |
dc.contributor.author | Xu, GQ | en_HK |
dc.contributor.author | Yung, SP | en_HK |
dc.date.accessioned | 2010-09-06T07:10:06Z | - |
dc.date.available | 2010-09-06T07:10:06Z | - |
dc.date.issued | 2005 | en_HK |
dc.identifier.citation | IMA Journal Of Applied Mathematics (Institute Of Mathematics And Its Applications), 2005, v. 70 n. 3, p. 459-477 | en_HK |
dc.identifier.issn | 0272-4960 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/75329 | - |
dc.description.abstract | We 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.language | eng | en_HK |
dc.publisher | Oxford University Press. The Journal's web site is located at http://imamat.oxfordjournals.org/ | en_HK |
dc.relation.ispartof | IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) | en_HK |
dc.subject | Euler-Bernoulli beam | en_HK |
dc.subject | Exponential stability | en_HK |
dc.subject | Riesz basis property | en_HK |
dc.subject | Variable coefficient | en_HK |
dc.title | Riesz basis property, exponential stability of variable coefficient Euler-Bernoulli beams with indefinite damping | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Yung, SP:spyung@hkucc.hku.hk | en_HK |
dc.identifier.authority | Yung, SP=rp00838 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1093/imamat/hxh043 | en_HK |
dc.identifier.scopus | eid_2-s2.0-20444423784 | en_HK |
dc.identifier.hkuros | 98094 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-20444423784&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 70 | en_HK |
dc.identifier.issue | 3 | en_HK |
dc.identifier.spage | 459 | en_HK |
dc.identifier.epage | 477 | en_HK |
dc.identifier.isi | WOS:000229441300006 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.identifier.scopusauthorid | Wang, JM=7701333092 | en_HK |
dc.identifier.scopusauthorid | Xu, GQ=7404263948 | en_HK |
dc.identifier.scopusauthorid | Yung, SP=7006540951 | en_HK |
dc.identifier.citeulike | 214983 | - |
dc.identifier.issnl | 0272-4960 | - |