Development of the Discrete Singular Convolution Method for the Free Vibration Analysis of Coupled Shear Walls

Discrete singular convolution is a new numerical method that its ability to vibrational analysis has been demonstrated in the last decade. A lot of research on how to apply the complex boundary conditions of the different issues using this method is carried out and a variety of solutions have been p...

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Autores principales:	Amir Zayeri Baghlani Nejad, Mohammad Shokrollahi
Formato:	article
Lenguaje:	FA
Publicado:	Iranian Society of Structrual Engineering (ISSE) 2021
Materias:	discrete singular convolution free vibration coupled shear wall boundary conditions numerical method Bridge engineering TG1-470 Building construction TH1-9745
Acceso en línea:	https://doaj.org/article/59c236dc02534488b6890f663c8916e4
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spelling	oai:doaj.org-article:59c236dc02534488b6890f663c8916e42021-11-08T15:54:55ZDevelopment of the Discrete Singular Convolution Method for the Free Vibration Analysis of Coupled Shear Walls2476-39772538-261610.22065/jsce.2019.172977.1789https://doaj.org/article/59c236dc02534488b6890f663c8916e42021-07-01T00:00:00Zhttps://www.jsce.ir/article_100343_8d5f3a42d17d099ad5e1ff927b77cdb7.pdfhttps://doaj.org/toc/2476-3977https://doaj.org/toc/2538-2616Discrete singular convolution is a new numerical method that its ability to vibrational analysis has been demonstrated in the last decade. A lot of research on how to apply the complex boundary conditions of the different issues using this method is carried out and a variety of solutions have been proposed in this regard. Applying the boundary conditions in the governing equations of coupled shear walls, is a challenging issue. This paper proposes a new algorithm for applying the boundary conditions in the vibration analysis of coupled shear walls using the DSC method. In order to validate the proposed method, several samples were analyzed using this algorithm and the results were compared with the values obtained from three conventional numerical methods of Finite element (FEM), Differential quadrature (DQM) and Finite difference (FDM) methods. The great conformity was found between the results which emphasized the validity and integrity of the proposed method. In addition, the ability of the DSC algorithm was explored in terms of the computational speed, computational effort and the amount of computer memory required aspect and compared with the other conventional numerical approaches. It is concluded that the DSC is more efficient than the compared numerical methods from the results of this study.Amir Zayeri Baghlani NejadMohammad ShokrollahiIranian Society of Structrual Engineering (ISSE)articlediscrete singular convolutionfree vibrationcoupled shear wallboundary conditionsnumerical methodBridge engineeringTG1-470Building constructionTH1-9745FAJournal of Structural and Construction Engineering, Vol 8, Iss 5, Pp 296-314 (2021)
institution	DOAJ
collection	DOAJ
language	FA
topic	discrete singular convolution free vibration coupled shear wall boundary conditions numerical method Bridge engineering TG1-470 Building construction TH1-9745
spellingShingle	discrete singular convolution free vibration coupled shear wall boundary conditions numerical method Bridge engineering TG1-470 Building construction TH1-9745 Amir Zayeri Baghlani Nejad Mohammad Shokrollahi Development of the Discrete Singular Convolution Method for the Free Vibration Analysis of Coupled Shear Walls
description	Discrete singular convolution is a new numerical method that its ability to vibrational analysis has been demonstrated in the last decade. A lot of research on how to apply the complex boundary conditions of the different issues using this method is carried out and a variety of solutions have been proposed in this regard. Applying the boundary conditions in the governing equations of coupled shear walls, is a challenging issue. This paper proposes a new algorithm for applying the boundary conditions in the vibration analysis of coupled shear walls using the DSC method. In order to validate the proposed method, several samples were analyzed using this algorithm and the results were compared with the values obtained from three conventional numerical methods of Finite element (FEM), Differential quadrature (DQM) and Finite difference (FDM) methods. The great conformity was found between the results which emphasized the validity and integrity of the proposed method. In addition, the ability of the DSC algorithm was explored in terms of the computational speed, computational effort and the amount of computer memory required aspect and compared with the other conventional numerical approaches. It is concluded that the DSC is more efficient than the compared numerical methods from the results of this study.
format	article
author	Amir Zayeri Baghlani Nejad Mohammad Shokrollahi
author_facet	Amir Zayeri Baghlani Nejad Mohammad Shokrollahi
author_sort	Amir Zayeri Baghlani Nejad
title	Development of the Discrete Singular Convolution Method for the Free Vibration Analysis of Coupled Shear Walls
title_short	Development of the Discrete Singular Convolution Method for the Free Vibration Analysis of Coupled Shear Walls
title_full	Development of the Discrete Singular Convolution Method for the Free Vibration Analysis of Coupled Shear Walls
title_fullStr	Development of the Discrete Singular Convolution Method for the Free Vibration Analysis of Coupled Shear Walls
title_full_unstemmed	Development of the Discrete Singular Convolution Method for the Free Vibration Analysis of Coupled Shear Walls
title_sort	development of the discrete singular convolution method for the free vibration analysis of coupled shear walls
publisher	Iranian Society of Structrual Engineering (ISSE)
publishDate	2021
url	https://doaj.org/article/59c236dc02534488b6890f663c8916e4
work_keys_str_mv	AT amirzayeribaghlaninejad developmentofthediscretesingularconvolutionmethodforthefreevibrationanalysisofcoupledshearwalls AT mohammadshokrollahi developmentofthediscretesingularconvolutionmethodforthefreevibrationanalysisofcoupledshearwalls
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Development of the Discrete Singular Convolution Method for the Free Vibration Analysis of Coupled Shear Walls

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