Size-dependent flutter analysis of a nanobeam made of metal-ceramic functionally graded materials subjected to supersonic fluid flow

In the presented paper, the size-dependent flutter analysis of a nanobeam made of metal-ceramic functionally graded (FG) materials subjected to supersonic fluid flow is examined. The volume fractions of metal and ceramic vary along both longitudinal and thickness directions. The size effects are mod...

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Main Authors: Mohammad Ali Motallebi, Mohammad Hashemian, S. Ali Eftekhari, Davood Toghraie, Mostafa Pirmoradian
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2025-03-01
Series:Propulsion and Power Research
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Online Access:http://www.sciencedirect.com/science/article/pii/S2212540X25000082
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author Mohammad Ali Motallebi
Mohammad Hashemian
S. Ali Eftekhari
Davood Toghraie
Mostafa Pirmoradian
author_facet Mohammad Ali Motallebi
Mohammad Hashemian
S. Ali Eftekhari
Davood Toghraie
Mostafa Pirmoradian
author_sort Mohammad Ali Motallebi
collection DOAJ
description In the presented paper, the size-dependent flutter analysis of a nanobeam made of metal-ceramic functionally graded (FG) materials subjected to supersonic fluid flow is examined. The volume fractions of metal and ceramic vary along both longitudinal and thickness directions. The size effects are modeled based on the nonlocal strain gradient theory (NSGT) and the surface effects are included according to the Gurtin-Murdoch surface elasticity theory. The mathematical modeling of nanobeam is performed in the framework of Reddy's third-order shear deformation beam theory (TSDBT), and the aerodynamic pressure is modeled according to the linear approximation of the piston theory. The governing equations and boundary conditions are obtained utilizing Hamilton's principle and are solved approximately via the differential quadrature method (DQM). Convergence and precision of the presented work are proved and the effects of several parameters on the flutter boundaries are inspected such as material gradation indexes, nonlocal and strain gradient parameters, thickness-to-length ratio, and incorporation of surface effects. It is discovered that the incorporation of the surface effects has a remarkable impact on the flutter boundaries of nanobeams and increases both critical aerodynamic pressure and flutter frequency of the nanobeam. The aim of this work is to examine how the aeroelastic stability characteristics of an FG nanobeam can be affected by the nonlocal and strain gradient parameters and the variations in the volume fractions of the metal and ceramic in the longitudinal and thickness directions.
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spelling doaj-art-a36e728329674ef0a86ae8ea7946a87c2025-08-20T03:06:17ZengKeAi Communications Co., Ltd.Propulsion and Power Research2212-540X2025-03-0114111013210.1016/j.jppr.2025.02.008Size-dependent flutter analysis of a nanobeam made of metal-ceramic functionally graded materials subjected to supersonic fluid flowMohammad Ali Motallebi0Mohammad Hashemian1S. Ali Eftekhari2Davood Toghraie3Mostafa Pirmoradian4Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, IranCorresponding author.; Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, IranDepartment of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, IranDepartment of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, IranDepartment of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, IranIn the presented paper, the size-dependent flutter analysis of a nanobeam made of metal-ceramic functionally graded (FG) materials subjected to supersonic fluid flow is examined. The volume fractions of metal and ceramic vary along both longitudinal and thickness directions. The size effects are modeled based on the nonlocal strain gradient theory (NSGT) and the surface effects are included according to the Gurtin-Murdoch surface elasticity theory. The mathematical modeling of nanobeam is performed in the framework of Reddy's third-order shear deformation beam theory (TSDBT), and the aerodynamic pressure is modeled according to the linear approximation of the piston theory. The governing equations and boundary conditions are obtained utilizing Hamilton's principle and are solved approximately via the differential quadrature method (DQM). Convergence and precision of the presented work are proved and the effects of several parameters on the flutter boundaries are inspected such as material gradation indexes, nonlocal and strain gradient parameters, thickness-to-length ratio, and incorporation of surface effects. It is discovered that the incorporation of the surface effects has a remarkable impact on the flutter boundaries of nanobeams and increases both critical aerodynamic pressure and flutter frequency of the nanobeam. The aim of this work is to examine how the aeroelastic stability characteristics of an FG nanobeam can be affected by the nonlocal and strain gradient parameters and the variations in the volume fractions of the metal and ceramic in the longitudinal and thickness directions.http://www.sciencedirect.com/science/article/pii/S2212540X25000082FlutterAeroelastic stabilityBi-directional FGMNanobeamNonlocal strain gradient theorySurface effects
spellingShingle Mohammad Ali Motallebi
Mohammad Hashemian
S. Ali Eftekhari
Davood Toghraie
Mostafa Pirmoradian
Size-dependent flutter analysis of a nanobeam made of metal-ceramic functionally graded materials subjected to supersonic fluid flow
Propulsion and Power Research
Flutter
Aeroelastic stability
Bi-directional FGM
Nanobeam
Nonlocal strain gradient theory
Surface effects
title Size-dependent flutter analysis of a nanobeam made of metal-ceramic functionally graded materials subjected to supersonic fluid flow
title_full Size-dependent flutter analysis of a nanobeam made of metal-ceramic functionally graded materials subjected to supersonic fluid flow
title_fullStr Size-dependent flutter analysis of a nanobeam made of metal-ceramic functionally graded materials subjected to supersonic fluid flow
title_full_unstemmed Size-dependent flutter analysis of a nanobeam made of metal-ceramic functionally graded materials subjected to supersonic fluid flow
title_short Size-dependent flutter analysis of a nanobeam made of metal-ceramic functionally graded materials subjected to supersonic fluid flow
title_sort size dependent flutter analysis of a nanobeam made of metal ceramic functionally graded materials subjected to supersonic fluid flow
topic Flutter
Aeroelastic stability
Bi-directional FGM
Nanobeam
Nonlocal strain gradient theory
Surface effects
url http://www.sciencedirect.com/science/article/pii/S2212540X25000082
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