Computing mode shapes of fluid-structure systems using subspace iteration method with aggressive shifting technique

Computing free vibration properties such as natural frequencies and mode shapes of fluid-structure interaction (FSI) systems leads to a special type of asymmetric eigen-problems. Standard methods for solving symmetric eigenvalue problems cannot be applied directly for solving these asymmetric proble...

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Autores principales:	Seyyed Asghar Arjmandi, Saed Rezaei
Formato:	article
Lenguaje:	FA
Publicado:	Iranian Society of Structrual Engineering (ISSE) 2020
Materias:	fluid-structure interaction system asymmetric eigen problem aggressive shifting technique subspace iteration method convergence criterion computable error bound Bridge engineering TG1-470 Building construction TH1-9745
Acceso en línea:	https://doaj.org/article/e962aee3499449b39e7d2388cb63d89c
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id	oai:doaj.org-article:e962aee3499449b39e7d2388cb63d89c
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spelling	oai:doaj.org-article:e962aee3499449b39e7d2388cb63d89c2021-11-08T15:53:49ZComputing mode shapes of fluid-structure systems using subspace iteration method with aggressive shifting technique2476-39772538-261610.22065/jsce.2018.143329.1623https://doaj.org/article/e962aee3499449b39e7d2388cb63d89c2020-04-01T00:00:00Zhttps://www.jsce.ir/article_79304_e54cd9c5d7a94b5c7934ac959d0fa9d0.pdfhttps://doaj.org/toc/2476-3977https://doaj.org/toc/2538-2616Computing free vibration properties such as natural frequencies and mode shapes of fluid-structure interaction (FSI) systems leads to a special type of asymmetric eigen-problems. Standard methods for solving symmetric eigenvalue problems cannot be applied directly for solving these asymmetric problems and should be modified. The pseudo symmetric subspace iteration method is a well-known method in this field which uses symmetric matrices instead of original asymmetric ones. However, this method is not so efficient in computing high number eigenpairs of the fluid structure systems (say > 40). Accelerated pseudo symmetric subspace iteration method increases the efficiency of the basic method utilizing constant size subspace and shifting technique. However, this method uses a very conservative shifting value, which is always smaller than last converged eigenvalue. In this study, an aggressive shifting technique which selects shifting value larger than converged eigenvalues and near unconverged eigenvalues, is proposed to solve the asymmetric eigen-problems. This technique improves efficiency of the accelerated pseudo symmetric subspace iteration method by 30 to 40 percent. Also, a computable error bound is proposed as convergence criterion for the asymmetric eigen-problems. This error bound, on the one hand, guarantees the accuracy of the converged eigen values and, on the other hand, gives an approximate range for unconverged values. This error bound is necessary to select the shifting value in the aggressive technique. In this paper, previous methods were studied first and then the proposed method is investigated and examined by several practical examples.Seyyed Asghar ArjmandiSaed RezaeiIranian Society of Structrual Engineering (ISSE)articlefluid-structure interaction systemasymmetric eigen problemaggressive shifting techniquesubspace iteration methodconvergence criterioncomputable error boundBridge engineeringTG1-470Building constructionTH1-9745FAJournal of Structural and Construction Engineering, Vol 7, Iss شماره ویژه 1 (2020)
institution	DOAJ
collection	DOAJ
language	FA
topic	fluid-structure interaction system asymmetric eigen problem aggressive shifting technique subspace iteration method convergence criterion computable error bound Bridge engineering TG1-470 Building construction TH1-9745
spellingShingle	fluid-structure interaction system asymmetric eigen problem aggressive shifting technique subspace iteration method convergence criterion computable error bound Bridge engineering TG1-470 Building construction TH1-9745 Seyyed Asghar Arjmandi Saed Rezaei Computing mode shapes of fluid-structure systems using subspace iteration method with aggressive shifting technique
description	Computing free vibration properties such as natural frequencies and mode shapes of fluid-structure interaction (FSI) systems leads to a special type of asymmetric eigen-problems. Standard methods for solving symmetric eigenvalue problems cannot be applied directly for solving these asymmetric problems and should be modified. The pseudo symmetric subspace iteration method is a well-known method in this field which uses symmetric matrices instead of original asymmetric ones. However, this method is not so efficient in computing high number eigenpairs of the fluid structure systems (say > 40). Accelerated pseudo symmetric subspace iteration method increases the efficiency of the basic method utilizing constant size subspace and shifting technique. However, this method uses a very conservative shifting value, which is always smaller than last converged eigenvalue. In this study, an aggressive shifting technique which selects shifting value larger than converged eigenvalues and near unconverged eigenvalues, is proposed to solve the asymmetric eigen-problems. This technique improves efficiency of the accelerated pseudo symmetric subspace iteration method by 30 to 40 percent. Also, a computable error bound is proposed as convergence criterion for the asymmetric eigen-problems. This error bound, on the one hand, guarantees the accuracy of the converged eigen values and, on the other hand, gives an approximate range for unconverged values. This error bound is necessary to select the shifting value in the aggressive technique. In this paper, previous methods were studied first and then the proposed method is investigated and examined by several practical examples.
format	article
author	Seyyed Asghar Arjmandi Saed Rezaei
author_facet	Seyyed Asghar Arjmandi Saed Rezaei
author_sort	Seyyed Asghar Arjmandi
title	Computing mode shapes of fluid-structure systems using subspace iteration method with aggressive shifting technique
title_short	Computing mode shapes of fluid-structure systems using subspace iteration method with aggressive shifting technique
title_full	Computing mode shapes of fluid-structure systems using subspace iteration method with aggressive shifting technique
title_fullStr	Computing mode shapes of fluid-structure systems using subspace iteration method with aggressive shifting technique
title_full_unstemmed	Computing mode shapes of fluid-structure systems using subspace iteration method with aggressive shifting technique
title_sort	computing mode shapes of fluid-structure systems using subspace iteration method with aggressive shifting technique
publisher	Iranian Society of Structrual Engineering (ISSE)
publishDate	2020
url	https://doaj.org/article/e962aee3499449b39e7d2388cb63d89c
work_keys_str_mv	AT seyyedasghararjmandi computingmodeshapesoffluidstructuresystemsusingsubspaceiterationmethodwithaggressiveshiftingtechnique AT saedrezaei computingmodeshapesoffluidstructuresystemsusingsubspaceiterationmethodwithaggressiveshiftingtechnique
_version_	1718441620656881664

Computing mode shapes of fluid-structure systems using subspace iteration method with aggressive shifting technique

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