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Article: Assessment and improvement of precise time step integration method
Title | Assessment and improvement of precise time step integration method |
---|---|
Authors | |
Keywords | Computation Accuracy Numerical Integration Numerical Stability Precise Time Step Integration Method |
Issue Date | 2006 |
Publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc |
Citation | Computers & Structures, 2006, v. 84 n. 12, p. 779-786 How to Cite? |
Abstract | In this paper, the numerical stability and accuracy of Precise Time Step Integration Method are discussed in detail. It is shown that the method is conditionally stable and it has inherent algorithmic damping, algorithmic period error and algorithmic amplitude decay. However for discretized structural models, it is relatively easy for this time integration scheme to satisfy the stability conditions and required accuracy. Based on the above results, the optimum values of the truncation order L and bisection order N are presented. The Gauss quadrature method is used to improve the accuracy of the Precise Time Step Integration Method. Finally, two numerical examples are presented to show the feasibility of this improvement method. © 2006 Elsevier Ltd. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/150357 |
ISSN | 2023 Impact Factor: 4.4 2023 SCImago Journal Rankings: 1.274 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Wang, M | en_US |
dc.contributor.author | Au, FTK | en_US |
dc.date.accessioned | 2012-06-26T06:03:50Z | - |
dc.date.available | 2012-06-26T06:03:50Z | - |
dc.date.issued | 2006 | en_US |
dc.identifier.citation | Computers & Structures, 2006, v. 84 n. 12, p. 779-786 | en_US |
dc.identifier.issn | 0045-7949 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/150357 | - |
dc.description.abstract | In this paper, the numerical stability and accuracy of Precise Time Step Integration Method are discussed in detail. It is shown that the method is conditionally stable and it has inherent algorithmic damping, algorithmic period error and algorithmic amplitude decay. However for discretized structural models, it is relatively easy for this time integration scheme to satisfy the stability conditions and required accuracy. Based on the above results, the optimum values of the truncation order L and bisection order N are presented. The Gauss quadrature method is used to improve the accuracy of the Precise Time Step Integration Method. Finally, two numerical examples are presented to show the feasibility of this improvement method. © 2006 Elsevier Ltd. All rights reserved. | en_US |
dc.language | eng | en_US |
dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc | en_US |
dc.relation.ispartof | Computers & Structures | en_US |
dc.subject | Computation Accuracy | en_US |
dc.subject | Numerical Integration | en_US |
dc.subject | Numerical Stability | en_US |
dc.subject | Precise Time Step Integration Method | en_US |
dc.title | Assessment and improvement of precise time step integration method | en_US |
dc.type | Article | en_US |
dc.identifier.email | Au, FTK:francis.au@hku.hk | en_US |
dc.identifier.authority | Au, FTK=rp00083 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1016/j.compstruc.2006.02.001 | en_US |
dc.identifier.scopus | eid_2-s2.0-33646481182 | en_US |
dc.identifier.hkuros | 123239 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-33646481182&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 84 | en_US |
dc.identifier.issue | 12 | en_US |
dc.identifier.spage | 779 | en_US |
dc.identifier.epage | 786 | en_US |
dc.identifier.isi | WOS:000237167800003 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Wang, M=7407801843 | en_US |
dc.identifier.scopusauthorid | Au, FTK=7005204072 | en_US |
dc.identifier.issnl | 0045-7949 | - |