Free vibration of functionally graded porous non-uniform thickness annular-nanoplates resting on elastic foundation using ES-MITC3 element

In this paper, the free vibration of the functionally graded porous (FGP) non-uniform annular-nanoplates lying on Winkler foundation (WF) is studied by using the smoothed finite element method based on the first-order shear deformation theory (FSDT). The combination of the mixed interpolation of the...

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Autores principales:	Quoc-Hoa Pham, Trung Thanh Tran, Van Ke Tran, Phu-Cuong Nguyen, Trung Nguyen-Thoi
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Functionally graded porous Winker foundation Nonlocal elasticity theory ES-MITC3 element Finite element method Nanoplates Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/b5f1b16f2f4341199d69516f19cf77ad
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spelling	oai:doaj.org-article:b5f1b16f2f4341199d69516f19cf77ad2021-11-30T04:13:44ZFree vibration of functionally graded porous non-uniform thickness annular-nanoplates resting on elastic foundation using ES-MITC3 element1110-016810.1016/j.aej.2021.06.082https://doaj.org/article/b5f1b16f2f4341199d69516f19cf77ad2022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004452https://doaj.org/toc/1110-0168In this paper, the free vibration of the functionally graded porous (FGP) non-uniform annular-nanoplates lying on Winkler foundation (WF) is studied by using the smoothed finite element method based on the first-order shear deformation theory (FSDT). The combination of the mixed interpolation of the tensorial components for the three-node triangular element (MITC3 element) and the edge-based smoothed finite element method (ES-FEM) creates the ES-MITC3 element. This element is employed to avoid the shear locking problem as well as to improve the accuracy of the original MITC3 element. The small-scale effect is considered based on the nonlocal theory. Applying Hamilton's principle, the governing equation of the FGP non-uniform thickness annular-nanoplate is derived. Material properties of the nanoplate are characterized by two parameters: power-law index (k) and maximum porosity distributions (Ω) in the forms of cosine functions. The results of the present work are compared with other published work to verify accuracy and reliability. Moreover, the effects of geometry parameters and material properties on the free vibration of FGP non-uniform annular-nanoplates are comprehensively investigated.Quoc-Hoa PhamTrung Thanh TranVan Ke TranPhu-Cuong NguyenTrung Nguyen-ThoiElsevierarticleFunctionally graded porousWinker foundationNonlocal elasticity theoryES-MITC3 elementFinite element methodNanoplatesEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 3, Pp 1788-1802 (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Functionally graded porous Winker foundation Nonlocal elasticity theory ES-MITC3 element Finite element method Nanoplates Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Functionally graded porous Winker foundation Nonlocal elasticity theory ES-MITC3 element Finite element method Nanoplates Engineering (General). Civil engineering (General) TA1-2040 Quoc-Hoa Pham Trung Thanh Tran Van Ke Tran Phu-Cuong Nguyen Trung Nguyen-Thoi Free vibration of functionally graded porous non-uniform thickness annular-nanoplates resting on elastic foundation using ES-MITC3 element
description	In this paper, the free vibration of the functionally graded porous (FGP) non-uniform annular-nanoplates lying on Winkler foundation (WF) is studied by using the smoothed finite element method based on the first-order shear deformation theory (FSDT). The combination of the mixed interpolation of the tensorial components for the three-node triangular element (MITC3 element) and the edge-based smoothed finite element method (ES-FEM) creates the ES-MITC3 element. This element is employed to avoid the shear locking problem as well as to improve the accuracy of the original MITC3 element. The small-scale effect is considered based on the nonlocal theory. Applying Hamilton's principle, the governing equation of the FGP non-uniform thickness annular-nanoplate is derived. Material properties of the nanoplate are characterized by two parameters: power-law index (k) and maximum porosity distributions (Ω) in the forms of cosine functions. The results of the present work are compared with other published work to verify accuracy and reliability. Moreover, the effects of geometry parameters and material properties on the free vibration of FGP non-uniform annular-nanoplates are comprehensively investigated.
format	article
author	Quoc-Hoa Pham Trung Thanh Tran Van Ke Tran Phu-Cuong Nguyen Trung Nguyen-Thoi
author_facet	Quoc-Hoa Pham Trung Thanh Tran Van Ke Tran Phu-Cuong Nguyen Trung Nguyen-Thoi
author_sort	Quoc-Hoa Pham
title	Free vibration of functionally graded porous non-uniform thickness annular-nanoplates resting on elastic foundation using ES-MITC3 element
title_short	Free vibration of functionally graded porous non-uniform thickness annular-nanoplates resting on elastic foundation using ES-MITC3 element
title_full	Free vibration of functionally graded porous non-uniform thickness annular-nanoplates resting on elastic foundation using ES-MITC3 element
title_fullStr	Free vibration of functionally graded porous non-uniform thickness annular-nanoplates resting on elastic foundation using ES-MITC3 element
title_full_unstemmed	Free vibration of functionally graded porous non-uniform thickness annular-nanoplates resting on elastic foundation using ES-MITC3 element
title_sort	free vibration of functionally graded porous non-uniform thickness annular-nanoplates resting on elastic foundation using es-mitc3 element
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/b5f1b16f2f4341199d69516f19cf77ad
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Free vibration of functionally graded porous non-uniform thickness annular-nanoplates resting on elastic foundation using ES-MITC3 element

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