Analyses of cantilever beam problem and nonlinear problem by using sub-domain meshless method

As is well known, a sub-domain method is often used in computational mechanics. The conforming sub-domains, where the sub-domains are not separated nor overlapped each other, are often used, while the nonconforming sub-domains could be employed if needed. In the latter cases, the integrations of the...

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Autores principales:	Yong-Ming GUO, Genki YAGAWA, Tatuya HAMADA, Kouki KAWAKUBO, Shunpei KAMITANI
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2017
Materias:	sub-domain method meshless method the sdmm weak form easy integration conforming and nonconforming sub-domains Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/85d7b65f1d5847b2b1512a28bb5c2ad1
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id	oai:doaj.org-article:85d7b65f1d5847b2b1512a28bb5c2ad1
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spelling	oai:doaj.org-article:85d7b65f1d5847b2b1512a28bb5c2ad12021-11-26T07:12:45ZAnalyses of cantilever beam problem and nonlinear problem by using sub-domain meshless method2187-974510.1299/mej.17-00221https://doaj.org/article/85d7b65f1d5847b2b1512a28bb5c2ad12017-11-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/4/6/4_17-00221/_pdf/-char/enhttps://doaj.org/toc/2187-9745As is well known, a sub-domain method is often used in computational mechanics. The conforming sub-domains, where the sub-domains are not separated nor overlapped each other, are often used, while the nonconforming sub-domains could be employed if needed. In the latter cases, the integrations of the sub-domains may be performed easily by choosing a simple configuration. Then, the meshless method with nonconforming sub-domains is considered one of the reasonable choices for the large-scale computational mechanics without the troublesome integration. We have proposed the sub-domain meshless method (SDMM). It is noted that, since the method can employ both the conforming and the nonconforming sub-domains, the integration for the weak form is necessarily accurate and easy by selecting the nonconforming sub-domains with simple configuration. In this paper, in order to solve more difficult issues, the linear elastic cantilever beam problem and the nonlinear problem are analyzed by using the proposed SDMM. The numerical solutions are compared with the exact solutions and the solutions of the collocation method, showing that the relative errors by using the SDMM are smaller than those by using the collocation method and that the proposed method possesses a good convergence.Yong-Ming GUOGenki YAGAWATatuya HAMADAKouki KAWAKUBOShunpei KAMITANIThe Japan Society of Mechanical Engineersarticlesub-domain methodmeshless methodthe sdmmweak formeasy integrationconforming and nonconforming sub-domainsMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 4, Iss 6, Pp 17-00221-17-00221 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	sub-domain method meshless method the sdmm weak form easy integration conforming and nonconforming sub-domains Mechanical engineering and machinery TJ1-1570
spellingShingle	sub-domain method meshless method the sdmm weak form easy integration conforming and nonconforming sub-domains Mechanical engineering and machinery TJ1-1570 Yong-Ming GUO Genki YAGAWA Tatuya HAMADA Kouki KAWAKUBO Shunpei KAMITANI Analyses of cantilever beam problem and nonlinear problem by using sub-domain meshless method
description	As is well known, a sub-domain method is often used in computational mechanics. The conforming sub-domains, where the sub-domains are not separated nor overlapped each other, are often used, while the nonconforming sub-domains could be employed if needed. In the latter cases, the integrations of the sub-domains may be performed easily by choosing a simple configuration. Then, the meshless method with nonconforming sub-domains is considered one of the reasonable choices for the large-scale computational mechanics without the troublesome integration. We have proposed the sub-domain meshless method (SDMM). It is noted that, since the method can employ both the conforming and the nonconforming sub-domains, the integration for the weak form is necessarily accurate and easy by selecting the nonconforming sub-domains with simple configuration. In this paper, in order to solve more difficult issues, the linear elastic cantilever beam problem and the nonlinear problem are analyzed by using the proposed SDMM. The numerical solutions are compared with the exact solutions and the solutions of the collocation method, showing that the relative errors by using the SDMM are smaller than those by using the collocation method and that the proposed method possesses a good convergence.
format	article
author	Yong-Ming GUO Genki YAGAWA Tatuya HAMADA Kouki KAWAKUBO Shunpei KAMITANI
author_facet	Yong-Ming GUO Genki YAGAWA Tatuya HAMADA Kouki KAWAKUBO Shunpei KAMITANI
author_sort	Yong-Ming GUO
title	Analyses of cantilever beam problem and nonlinear problem by using sub-domain meshless method
title_short	Analyses of cantilever beam problem and nonlinear problem by using sub-domain meshless method
title_full	Analyses of cantilever beam problem and nonlinear problem by using sub-domain meshless method
title_fullStr	Analyses of cantilever beam problem and nonlinear problem by using sub-domain meshless method
title_full_unstemmed	Analyses of cantilever beam problem and nonlinear problem by using sub-domain meshless method
title_sort	analyses of cantilever beam problem and nonlinear problem by using sub-domain meshless method
publisher	The Japan Society of Mechanical Engineers
publishDate	2017
url	https://doaj.org/article/85d7b65f1d5847b2b1512a28bb5c2ad1
work_keys_str_mv	AT yongmingguo analysesofcantileverbeamproblemandnonlinearproblembyusingsubdomainmeshlessmethod AT genkiyagawa analysesofcantileverbeamproblemandnonlinearproblembyusingsubdomainmeshlessmethod AT tatuyahamada analysesofcantileverbeamproblemandnonlinearproblembyusingsubdomainmeshlessmethod AT koukikawakubo analysesofcantileverbeamproblemandnonlinearproblembyusingsubdomainmeshlessmethod AT shunpeikamitani analysesofcantileverbeamproblemandnonlinearproblembyusingsubdomainmeshlessmethod
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Analyses of cantilever beam problem and nonlinear problem by using sub-domain meshless method

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