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Article: Precise integration method without inverse matrix calculation for structural dynamic equations

TitlePrecise integration method without inverse matrix calculation for structural dynamic equations
Authors
KeywordsCrout decomposed method
Inverse matrix calculation
Matrix exponential function
Numerical integration
Structural dynamics
Issue Date2007
PublisherMultidisciplinary Center for Earthquake Engineering Research. The Journal's web site is located at http://mceer.buffalo.edu/eeev
Citation
Earthquake Engineering And Engineering Vibration, 2007, v. 6 n. 1, p. 57-64 How to Cite?
AbstractThe precise integration method proposed for linear time-invariant homogeneous dynamic systems can provide accurate numerical results that approach an exact solution at integration points. However, difficulties arise when the algorithm is used for non-homogeneous dynamic systems due to the inverse matrix calculation required. In this paper, the structural dynamic equalibrium equations are converted into a special form, the inverse matrix calculation is replaced by the Crout decomposition method to solve the dynamic equilibrium equations, and the precise integration method without the inverse matrix calculation is obtained. The new algorithm enhances the present precise integration method by improving both the computational accuracy and efficiency. Two numerical examples are given to demonstrate the validity and efficiency of the proposed algorithm.
Persistent Identifierhttp://hdl.handle.net/10722/70615
ISSN
2015 Impact Factor: 0.814
2015 SCImago Journal Rankings: 0.475
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorMengfu, Wen_HK
dc.contributor.authorAu, FTKen_HK
dc.date.accessioned2010-09-06T06:24:34Z-
dc.date.available2010-09-06T06:24:34Z-
dc.date.issued2007en_HK
dc.identifier.citationEarthquake Engineering And Engineering Vibration, 2007, v. 6 n. 1, p. 57-64en_HK
dc.identifier.issn1671-3664en_HK
dc.identifier.urihttp://hdl.handle.net/10722/70615-
dc.description.abstractThe precise integration method proposed for linear time-invariant homogeneous dynamic systems can provide accurate numerical results that approach an exact solution at integration points. However, difficulties arise when the algorithm is used for non-homogeneous dynamic systems due to the inverse matrix calculation required. In this paper, the structural dynamic equalibrium equations are converted into a special form, the inverse matrix calculation is replaced by the Crout decomposition method to solve the dynamic equilibrium equations, and the precise integration method without the inverse matrix calculation is obtained. The new algorithm enhances the present precise integration method by improving both the computational accuracy and efficiency. Two numerical examples are given to demonstrate the validity and efficiency of the proposed algorithm.en_HK
dc.languageengen_HK
dc.publisherMultidisciplinary Center for Earthquake Engineering Research. The Journal's web site is located at http://mceer.buffalo.edu/eeeven_HK
dc.relation.ispartofEarthquake Engineering and Engineering Vibrationen_HK
dc.subjectCrout decomposed methoden_HK
dc.subjectInverse matrix calculationen_HK
dc.subjectMatrix exponential functionen_HK
dc.subjectNumerical integrationen_HK
dc.subjectStructural dynamicsen_HK
dc.titlePrecise integration method without inverse matrix calculation for structural dynamic equationsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1671-3664&volume=6 &issue=1&spage=57&epage=64&date=2007&atitle=Precise+integration+method+without+inverse+matrix+calculation+for+structural+dynamic+equationsen_HK
dc.identifier.emailAu, FTK:francis.au@hku.hken_HK
dc.identifier.authorityAu, FTK=rp00083en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s11803-007-0661-2en_HK
dc.identifier.scopuseid_2-s2.0-38949122746en_HK
dc.identifier.hkuros137014en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-38949122746&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume6en_HK
dc.identifier.issue1en_HK
dc.identifier.spage57en_HK
dc.identifier.epage64en_HK
dc.identifier.isiWOS:000255123100007-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridMengfu, W=23489443800en_HK
dc.identifier.scopusauthoridAu, FTK=7005204072en_HK

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