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Article: Precise Hsu's method for analyzing the stability of periodic solutions of multi-degrees-of-freedom systems with cubic nonlinearity

TitlePrecise Hsu's method for analyzing the stability of periodic solutions of multi-degrees-of-freedom systems with cubic nonlinearity
Authors
Huang, JLSu, RKLChen, SH
KeywordsHsu's method
Incremental harmonic balance method
Precise time integration algorithm
Stability analysis
Issue Date2009
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc
Citation
Computers And Structures, 2009, v. 87 n. 23-24, p. 1624-1630 How to Cite?
DOI: http://dx.doi.org/10.1016/j.compstruc.2009.09.005
AbstractThis paper presents a new precise Hsu's method for investigating the stability regions of the periodic motions of an undamped two-degrees-of-freedom system with cubic nonlinearity. Firstly, the incremental harmonic balance (IHB) method is used to obtain the solution of nonlinear vibration differential equations. Hsu's method is then adopted for computing the transition matrix at the end of one period, and the precise time integration algorithm is adjusted to improve the computational precision. The stability regions of the system obtained from the precise Hsu's, Hsu's and improved numerical integration methods are compared and discussed. © 2009 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/71701
ISSN
0045-7949
2021 Impact Factor: 5.372
2020 SCImago Journal Rankings: 1.450
ISI Accession Number ID
WOS:000271541000014
Funding AgencyGrant Number
National Natural Science Foundation of China10672193
The University of Hong Kong through the small project fund
Funding Information:

Financial support from the National Natural Science Foundation of China (10672193) and The University of Hong Kong through the small project fund is gratefully acknowledged.

References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorHuang, JLen_HK
dc.contributor.authorSu, RKLen_HK
dc.contributor.authorChen, SHen_HK
dc.date.accessioned2010-09-06T06:34:23Z-
dc.date.available2010-09-06T06:34:23Z-
dc.date.issued2009en_HK
dc.identifier.citationComputers And Structures, 2009, v. 87 n. 23-24, p. 1624-1630en_HK
dc.identifier.issn0045-7949en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71701-
dc.description.abstractThis paper presents a new precise Hsu's method for investigating the stability regions of the periodic motions of an undamped two-degrees-of-freedom system with cubic nonlinearity. Firstly, the incremental harmonic balance (IHB) method is used to obtain the solution of nonlinear vibration differential equations. Hsu's method is then adopted for computing the transition matrix at the end of one period, and the precise time integration algorithm is adjusted to improve the computational precision. The stability regions of the system obtained from the precise Hsu's, Hsu's and improved numerical integration methods are compared and discussed. © 2009 Elsevier Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstrucen_HK
dc.relation.ispartofComputers and Structuresen_HK
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectHsu's methoden_HK
dc.subjectIncremental harmonic balance methoden_HK
dc.subjectPrecise time integration algorithmen_HK
dc.subjectStability analysisen_HK
dc.titlePrecise Hsu's method for analyzing the stability of periodic solutions of multi-degrees-of-freedom systems with cubic nonlinearityen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0045-7949&volume=87&issue=23-24&spage=1624&epage=1630&date=2009&atitle=Precise+Hsu%27s+method+for+analyzing+the+stability+of+periodic+solutions+of+multi-degrees-of-freedom+systems+with+cubic+nonlinearityen_HK
dc.identifier.emailSu, RKL:klsu@hkucc.hku.hken_HK
dc.identifier.authoritySu, RKL=rp00072en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.compstruc.2009.09.005en_HK
dc.identifier.scopuseid_2-s2.0-70349996986en_HK
dc.identifier.hkuros168176en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-70349996986&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume87en_HK
dc.identifier.issue23-24en_HK
dc.identifier.spage1624en_HK
dc.identifier.epage1630en_HK
dc.identifier.isiWOS:000271541000014-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridHuang, JL=34968188300en_HK
dc.identifier.scopusauthoridSu, RKL=7102627096en_HK
dc.identifier.scopusauthoridChen, SH=13303161800en_HK
dc.identifier.citeulike5929196-
dc.identifier.issnl0045-7949-

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