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Article: Nonlinear analysis of forced responses of an axially moving beam by incremental harmonic balance method
Title | Nonlinear analysis of forced responses of an axially moving beam by incremental harmonic balance method | ||||||
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Authors | |||||||
Keywords | Axially Moving Beam Floquet Theory IHB Method Internal Resonance Nonlinear Vibration Numerical Integration Stability | ||||||
Issue Date | 2011 | ||||||
Publisher | Taylor & Francis Inc. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/15376494.asp | ||||||
Citation | Mechanics of Advanced Materials And Structures, 2011, v. 18 n. 8, p. 611-616 How to Cite? | ||||||
Abstract | This article analyzes nonlinear vibration of an axially moving beam subject to periodic lateral forces. The governing equation of the beam vibration is developed using Hamilton's Principle. The stable and unstable periodic solutions are obtained by employing the multivariable Floquet theory and incremental harmonic balance (IHB) method. In the solution procedure, Hsu's method is applied for computing the transition matrix at the end of one period. The effects of internal resonance on the beam responses are discussed. The periodic solutions obtained from the IHB method are in good agreement with the results obtained from numerical integration. © 2011 Copyright Taylor and Francis Group, LLC. | ||||||
Persistent Identifier | http://hdl.handle.net/10722/150656 | ||||||
ISSN | 2023 Impact Factor: 3.6 2023 SCImago Journal Rankings: 0.615 | ||||||
ISI Accession Number ID |
Funding Information: Financial supports from the National Natural Science Foundation of China (10672193, 11002164) and the Fundamental Research Funds for the Central Universities (111gpy51) are gratefully acknowledged. | ||||||
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Huang, JL | en_US |
dc.contributor.author | Chen, SH | en_US |
dc.contributor.author | Su, RKL | en_US |
dc.contributor.author | Lee, YY | en_US |
dc.date.accessioned | 2012-06-26T06:06:30Z | - |
dc.date.available | 2012-06-26T06:06:30Z | - |
dc.date.issued | 2011 | en_US |
dc.identifier.citation | Mechanics of Advanced Materials And Structures, 2011, v. 18 n. 8, p. 611-616 | en_US |
dc.identifier.issn | 1537-6494 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/150656 | - |
dc.description.abstract | This article analyzes nonlinear vibration of an axially moving beam subject to periodic lateral forces. The governing equation of the beam vibration is developed using Hamilton's Principle. The stable and unstable periodic solutions are obtained by employing the multivariable Floquet theory and incremental harmonic balance (IHB) method. In the solution procedure, Hsu's method is applied for computing the transition matrix at the end of one period. The effects of internal resonance on the beam responses are discussed. The periodic solutions obtained from the IHB method are in good agreement with the results obtained from numerical integration. © 2011 Copyright Taylor and Francis Group, LLC. | en_US |
dc.language | eng | en_US |
dc.publisher | Taylor & Francis Inc. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/15376494.asp | en_US |
dc.relation.ispartof | Mechanics of Advanced Materials and Structures | en_US |
dc.subject | Axially Moving Beam | en_US |
dc.subject | Floquet Theory | en_US |
dc.subject | IHB Method | en_US |
dc.subject | Internal Resonance | en_US |
dc.subject | Nonlinear Vibration | en_US |
dc.subject | Numerical Integration | en_US |
dc.subject | Stability | en_US |
dc.title | Nonlinear analysis of forced responses of an axially moving beam by incremental harmonic balance method | en_US |
dc.type | Article | en_US |
dc.identifier.email | Su, RKL:klsu@hkucc.hku.hk | en_US |
dc.identifier.authority | Su, RKL=rp00072 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1080/15376494.2011.621845 | en_US |
dc.identifier.scopus | eid_2-s2.0-84863179749 | - |
dc.identifier.hkuros | 212877 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-84857265944&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 18 | en_US |
dc.identifier.issue | 8 | en_US |
dc.identifier.spage | 611 | en_US |
dc.identifier.epage | 616 | en_US |
dc.identifier.isi | WOS:000297250100009 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Huang, JL=55016001900 | en_US |
dc.identifier.scopusauthorid | Chen, SH=55008158700 | en_US |
dc.identifier.scopusauthorid | Su, RKL=7102627096 | en_US |
dc.identifier.scopusauthorid | Lee, YY=55007934300 | en_US |
dc.identifier.issnl | 1537-6494 | - |