Dynamic Stability Analysis in Hybrid Nanocomposite Polymer Beams Reinforced by Carbon Fibers and Carbon Nanotubes

The objective of this innovative research is assessment of dynamic stability for a hybrid nanocomposite polymer beam. The considered beam formed by multiphase nanocomposite, including polymer–carbon nanotubes (CNTs)–carbon fibers (CFs). Hence, as to compute the effective material characteristics rel...

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Main Authors: Behrooz Keshtegar, Reza Kolahchi, Arameh Eyvazian, Nguyen-Thoi Trung
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Polymers
Subjects:
Online Access:https://www.mdpi.com/2073-4360/13/1/106
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spelling doaj-25a91cca0c8a4fca897357bbb0e37ddc2020-12-30T00:03:38ZengMDPI AGPolymers2073-43602021-12-011310610610.3390/polym13010106Dynamic Stability Analysis in Hybrid Nanocomposite Polymer Beams Reinforced by Carbon Fibers and Carbon NanotubesBehrooz Keshtegar0Reza Kolahchi1Arameh Eyvazian2Nguyen-Thoi Trung3Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City 800010, VietnamInstitute of Research and Development, Duy Tan University, Da Nang 550000, VietnamMechanical and Industrial Engineering Department, College of Engineering, Qatar University, P.O. Box 2713 Doha, QatarDivision of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City 800010, VietnamThe objective of this innovative research is assessment of dynamic stability for a hybrid nanocomposite polymer beam. The considered beam formed by multiphase nanocomposite, including polymer–carbon nanotubes (CNTs)–carbon fibers (CFs). Hence, as to compute the effective material characteristics related to multiphase nanocomposite layers, the Halpin–Tsai model, as well as micromechanics equations are employed. To model the structure realistically, exponential shear deformation beam theory (ESDBT) is applied and using energy methods, governing equations are achieved. Moreover, differential quadrature method (DQM) as well as Bolotin procedures are used for solving the obtained governing equations and the dynamic instability region (DIR) relative to the beam is determined. To extend this novel research, various parameters pinpointing the influences of CNT volume fraction, CFs volume percent, boundary edges as well as the structure’s geometric variables on the dynamic behavior of the beam are presented. The results were validated with the theoretical and experimental results of other published papers. The outcomes reveal that increment of volume fraction of CNT is able to shift DIR to more amounts of frequency. Further, rise of carbon fibers volume percent leads to increase the excitation frequency of this structure.https://www.mdpi.com/2073-4360/13/1/106polymer beamcarbon fiberscarbon nanotubesdynamic stabilityexponential shear deformation beam theory
collection DOAJ
language English
format Article
sources DOAJ
author Behrooz Keshtegar
Reza Kolahchi
Arameh Eyvazian
Nguyen-Thoi Trung
spellingShingle Behrooz Keshtegar
Reza Kolahchi
Arameh Eyvazian
Nguyen-Thoi Trung
Dynamic Stability Analysis in Hybrid Nanocomposite Polymer Beams Reinforced by Carbon Fibers and Carbon Nanotubes
Polymers
polymer beam
carbon fibers
carbon nanotubes
dynamic stability
exponential shear deformation beam theory
author_facet Behrooz Keshtegar
Reza Kolahchi
Arameh Eyvazian
Nguyen-Thoi Trung
author_sort Behrooz Keshtegar
title Dynamic Stability Analysis in Hybrid Nanocomposite Polymer Beams Reinforced by Carbon Fibers and Carbon Nanotubes
title_short Dynamic Stability Analysis in Hybrid Nanocomposite Polymer Beams Reinforced by Carbon Fibers and Carbon Nanotubes
title_full Dynamic Stability Analysis in Hybrid Nanocomposite Polymer Beams Reinforced by Carbon Fibers and Carbon Nanotubes
title_fullStr Dynamic Stability Analysis in Hybrid Nanocomposite Polymer Beams Reinforced by Carbon Fibers and Carbon Nanotubes
title_full_unstemmed Dynamic Stability Analysis in Hybrid Nanocomposite Polymer Beams Reinforced by Carbon Fibers and Carbon Nanotubes
title_sort dynamic stability analysis in hybrid nanocomposite polymer beams reinforced by carbon fibers and carbon nanotubes
publisher MDPI AG
series Polymers
issn 2073-4360
publishDate 2021-12-01
description The objective of this innovative research is assessment of dynamic stability for a hybrid nanocomposite polymer beam. The considered beam formed by multiphase nanocomposite, including polymer–carbon nanotubes (CNTs)–carbon fibers (CFs). Hence, as to compute the effective material characteristics related to multiphase nanocomposite layers, the Halpin–Tsai model, as well as micromechanics equations are employed. To model the structure realistically, exponential shear deformation beam theory (ESDBT) is applied and using energy methods, governing equations are achieved. Moreover, differential quadrature method (DQM) as well as Bolotin procedures are used for solving the obtained governing equations and the dynamic instability region (DIR) relative to the beam is determined. To extend this novel research, various parameters pinpointing the influences of CNT volume fraction, CFs volume percent, boundary edges as well as the structure’s geometric variables on the dynamic behavior of the beam are presented. The results were validated with the theoretical and experimental results of other published papers. The outcomes reveal that increment of volume fraction of CNT is able to shift DIR to more amounts of frequency. Further, rise of carbon fibers volume percent leads to increase the excitation frequency of this structure.
topic polymer beam
carbon fibers
carbon nanotubes
dynamic stability
exponential shear deformation beam theory
url https://www.mdpi.com/2073-4360/13/1/106
work_keys_str_mv AT behroozkeshtegar dynamicstabilityanalysisinhybridnanocompositepolymerbeamsreinforcedbycarbonfibersandcarbonnanotubes
AT rezakolahchi dynamicstabilityanalysisinhybridnanocompositepolymerbeamsreinforcedbycarbonfibersandcarbonnanotubes
AT arameheyvazian dynamicstabilityanalysisinhybridnanocompositepolymerbeamsreinforcedbycarbonfibersandcarbonnanotubes
AT nguyenthoitrung dynamicstabilityanalysisinhybridnanocompositepolymerbeamsreinforcedbycarbonfibersandcarbonnanotubes
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