Natural Frequency Response of FG-CNT Coupled Curved Beams in Thermal Conditions

This study investigates the sensitivity of dynamic properties in coupled curved beams reinforced with carbon nanotubes (CNTs) to thermal variations. Temperature-dependent (TD) mechanical properties are considered for poly methyl methacrylate (PMMA) to be strengthened with single-walled CNTs (SWCNTs)...

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Main Authors: Amir R. Masoodi, Moein Alreza Ghandehari, Francesco Tornabene, Rossana Dimitri
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/14/2/687
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author Amir R. Masoodi
Moein Alreza Ghandehari
Francesco Tornabene
Rossana Dimitri
author_facet Amir R. Masoodi
Moein Alreza Ghandehari
Francesco Tornabene
Rossana Dimitri
author_sort Amir R. Masoodi
collection DOAJ
description This study investigates the sensitivity of dynamic properties in coupled curved beams reinforced with carbon nanotubes (CNTs) to thermal variations. Temperature-dependent (TD) mechanical properties are considered for poly methyl methacrylate (PMMA) to be strengthened with single-walled CNTs (SWCNTs), employing the basic rule of mixture to define the equivalent mechanical properties of nanocomposites. The governing equations of motion are derived using a first-order shear deformation theory (FSDT) and Hamilton’s principle, accounting for elastic interfaces modeled using elastic springs. A meshfree solution method based on a generalized differential quadrature (GDQ) approach is employed to discretize the eigenvalue problem and to obtain the frequency response of the structure. The proposed numerical procedure’s accuracy is verified against predictions in the literature for homogeneous structural cases under a fixed environmental temperature. The systematic investigation assesses the impact of various geometric and material properties, including curvature, boundary conditions, interfacial stiffness, and CNT distribution patterns, on the vibrational behavior.
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spelling doaj.art-3bfd6e3881114c1d816579fa734b303b2024-01-29T13:43:42ZengMDPI AGApplied Sciences2076-34172024-01-0114268710.3390/app14020687Natural Frequency Response of FG-CNT Coupled Curved Beams in Thermal ConditionsAmir R. Masoodi0Moein Alreza Ghandehari1Francesco Tornabene2Rossana Dimitri3Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad 9177948974, IranDepartment of Civil Engineering, Ferdowsi University of Mashhad, Mashhad 9177948974, IranDepartment of Innovation Engineering, University of Salento, 73100 Lecce, ItalyDepartment of Innovation Engineering, University of Salento, 73100 Lecce, ItalyThis study investigates the sensitivity of dynamic properties in coupled curved beams reinforced with carbon nanotubes (CNTs) to thermal variations. Temperature-dependent (TD) mechanical properties are considered for poly methyl methacrylate (PMMA) to be strengthened with single-walled CNTs (SWCNTs), employing the basic rule of mixture to define the equivalent mechanical properties of nanocomposites. The governing equations of motion are derived using a first-order shear deformation theory (FSDT) and Hamilton’s principle, accounting for elastic interfaces modeled using elastic springs. A meshfree solution method based on a generalized differential quadrature (GDQ) approach is employed to discretize the eigenvalue problem and to obtain the frequency response of the structure. The proposed numerical procedure’s accuracy is verified against predictions in the literature for homogeneous structural cases under a fixed environmental temperature. The systematic investigation assesses the impact of various geometric and material properties, including curvature, boundary conditions, interfacial stiffness, and CNT distribution patterns, on the vibrational behavior.https://www.mdpi.com/2076-3417/14/2/687natural frequencycoupled curved beamsingle-walled carbon nanotube (SWCNT)interface elastic mediaGDQ
spellingShingle Amir R. Masoodi
Moein Alreza Ghandehari
Francesco Tornabene
Rossana Dimitri
Natural Frequency Response of FG-CNT Coupled Curved Beams in Thermal Conditions
Applied Sciences
natural frequency
coupled curved beam
single-walled carbon nanotube (SWCNT)
interface elastic media
GDQ
title Natural Frequency Response of FG-CNT Coupled Curved Beams in Thermal Conditions
title_full Natural Frequency Response of FG-CNT Coupled Curved Beams in Thermal Conditions
title_fullStr Natural Frequency Response of FG-CNT Coupled Curved Beams in Thermal Conditions
title_full_unstemmed Natural Frequency Response of FG-CNT Coupled Curved Beams in Thermal Conditions
title_short Natural Frequency Response of FG-CNT Coupled Curved Beams in Thermal Conditions
title_sort natural frequency response of fg cnt coupled curved beams in thermal conditions
topic natural frequency
coupled curved beam
single-walled carbon nanotube (SWCNT)
interface elastic media
GDQ
url https://www.mdpi.com/2076-3417/14/2/687
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AT rossanadimitri naturalfrequencyresponseoffgcntcoupledcurvedbeamsinthermalconditions