Nonlocal free vibration of functionally graded porous nanoplates using higher-order isogeometric analysis and ANN prediction

The main objective of this article is to propose a new shear continuous function used for the free vibration analysis of functionally graded (FG) nanoplates with the presence of internal porosity (so-called FGP nanoplates) by employing isogeometric analysis (IGA). The small-scale effect that appears...

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Main Authors: Quoc-Hoa Pham, Trung Thanh Tran, Phu-Cuong Nguyen
Format: Article
Language:English
Published: Elsevier 2023-03-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016822008079
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author Quoc-Hoa Pham
Trung Thanh Tran
Phu-Cuong Nguyen
author_facet Quoc-Hoa Pham
Trung Thanh Tran
Phu-Cuong Nguyen
author_sort Quoc-Hoa Pham
collection DOAJ
description The main objective of this article is to propose a new shear continuous function used for the free vibration analysis of functionally graded (FG) nanoplates with the presence of internal porosity (so-called FGP nanoplates) by employing isogeometric analysis (IGA). The small-scale effect that appears in nanostructures is included by using the nonlocal elasticity theory (nonlocal theory). Functionally graded materials consist of mechanical properties varies along z-directions. The porosity occurring in the material matrix is described by the trigonometric function. Furthermore, an artificial neural network (ANN) model is created by Matlab software to predict the natural frequencies of FGP nanoplates. The performance of the proposed formula is confirmed by comparing the obtained results with those of previous publications. Finally, some examples are conducted to provide novel results in the free vibration of FGP nanoplates.
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spelling doaj.art-ab1e0eb6b2df4bea88bd29838fef87802023-03-01T04:31:08ZengElsevierAlexandria Engineering Journal1110-01682023-03-0166651667Nonlocal free vibration of functionally graded porous nanoplates using higher-order isogeometric analysis and ANN predictionQuoc-Hoa Pham0Trung Thanh Tran1Phu-Cuong Nguyen2Advanced Structural Engineering Laboratory, Department of Structural Engineering, Faculty of Civil Engineering, Ho Chi Minh City Open University, Ho Chi Minh City, Viet NamFaculty of Mechanical Engineering, Le Quy Don Technical University, Hanoi, Viet NamAdvanced Structural Engineering Laboratory, Department of Structural Engineering, Faculty of Civil Engineering, Ho Chi Minh City Open University, Ho Chi Minh City, Viet Nam; Corresponding author.The main objective of this article is to propose a new shear continuous function used for the free vibration analysis of functionally graded (FG) nanoplates with the presence of internal porosity (so-called FGP nanoplates) by employing isogeometric analysis (IGA). The small-scale effect that appears in nanostructures is included by using the nonlocal elasticity theory (nonlocal theory). Functionally graded materials consist of mechanical properties varies along z-directions. The porosity occurring in the material matrix is described by the trigonometric function. Furthermore, an artificial neural network (ANN) model is created by Matlab software to predict the natural frequencies of FGP nanoplates. The performance of the proposed formula is confirmed by comparing the obtained results with those of previous publications. Finally, some examples are conducted to provide novel results in the free vibration of FGP nanoplates.http://www.sciencedirect.com/science/article/pii/S1110016822008079Nonlocal elasticity theoryHigher-order shear deformation theory (HSDT)Isogeometric analysis (IGA)Functionally graded porous (FGP)NanoplatesANN
spellingShingle Quoc-Hoa Pham
Trung Thanh Tran
Phu-Cuong Nguyen
Nonlocal free vibration of functionally graded porous nanoplates using higher-order isogeometric analysis and ANN prediction
Alexandria Engineering Journal
Nonlocal elasticity theory
Higher-order shear deformation theory (HSDT)
Isogeometric analysis (IGA)
Functionally graded porous (FGP)
Nanoplates
ANN
title Nonlocal free vibration of functionally graded porous nanoplates using higher-order isogeometric analysis and ANN prediction
title_full Nonlocal free vibration of functionally graded porous nanoplates using higher-order isogeometric analysis and ANN prediction
title_fullStr Nonlocal free vibration of functionally graded porous nanoplates using higher-order isogeometric analysis and ANN prediction
title_full_unstemmed Nonlocal free vibration of functionally graded porous nanoplates using higher-order isogeometric analysis and ANN prediction
title_short Nonlocal free vibration of functionally graded porous nanoplates using higher-order isogeometric analysis and ANN prediction
title_sort nonlocal free vibration of functionally graded porous nanoplates using higher order isogeometric analysis and ann prediction
topic Nonlocal elasticity theory
Higher-order shear deformation theory (HSDT)
Isogeometric analysis (IGA)
Functionally graded porous (FGP)
Nanoplates
ANN
url http://www.sciencedirect.com/science/article/pii/S1110016822008079
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AT trungthanhtran nonlocalfreevibrationoffunctionallygradedporousnanoplatesusinghigherorderisogeometricanalysisandannprediction
AT phucuongnguyen nonlocalfreevibrationoffunctionallygradedporousnanoplatesusinghigherorderisogeometricanalysisandannprediction