Nonlinear Buckling Analysis of Nano-composite Beam with Initial Geometrical Imperfection using Finite Element Method

In this research, the nonlinear buckling analysis of Functionally Graded (FG) nano-composite beam reinforced by various distributions of Boron Nitrid Nanotube (BNNT) is investigated under electro-thermodynamical loading with considering initial geometrical imperfection. The analysis is perf...

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Main Authors: M. Mohammadimehr, S. Alimirzaei
Format: Article
Language:fas
Published: Isfahan University of Technology 2018-03-01
Series:Ravish/hā-yi ̒adadī dar Muhandisī
Subjects:
Online Access:http://jcme.iut.ac.ir/browse.php?a_code=A-10-1-45&slc_lang=en&sid=1
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author M. Mohammadimehr
S. Alimirzaei
author_facet M. Mohammadimehr
S. Alimirzaei
author_sort M. Mohammadimehr
collection DOAJ
description In this research, the nonlinear buckling analysis of Functionally Graded (FG) nano-composite beam reinforced by various distributions of Boron Nitrid Nanotube (BNNT) is investigated under electro-thermodynamical loading with considering initial geometrical imperfection. The analysis is performed based on nonlocal elasticity theory and using the Finite Element Method (FEM). Various distributions of BNNT along the beam’s thickness are considered as uniform and decreasing-increasing functionally graded; and the extended mixture model is used to estimate the properties of nano-composite beam. The elastic medium around the smart nano-composite beam is modeled as elastic foundation. The governing equations of equilibrium are derived using energy method and nonlocal elasticity theory; and the critical buckling load is obtained for various boundary conditions such as simply-simply supported (S-S) and clamped-clamped (C-C) using the FEM. The results indicate that with an increase in the geometrical imperfection parameter, the stiffness of nano-composite beam increases and consequently the stability of the system increases. The effect of FG-X distribution type is more than uniform distributions. Also, the critical buckling load of nano-composite beam increases with an increase in the electric field and elastic foundation.
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spelling doaj.art-96dfc813dc1349e68cdd2f8a49c255382022-12-22T00:08:53ZfasIsfahan University of TechnologyRavish/hā-yi ̒adadī dar Muhandisī2228-76982423-57412018-03-013627998Nonlinear Buckling Analysis of Nano-composite Beam with Initial Geometrical Imperfection using Finite Element MethodM. Mohammadimehr0S. Alimirzaei1 Department of Mechanical Engineering, University of Kashan, Kashan, Iran Department of Mechanical Engineering, University of Kashan, Kashan, Iran In this research, the nonlinear buckling analysis of Functionally Graded (FG) nano-composite beam reinforced by various distributions of Boron Nitrid Nanotube (BNNT) is investigated under electro-thermodynamical loading with considering initial geometrical imperfection. The analysis is performed based on nonlocal elasticity theory and using the Finite Element Method (FEM). Various distributions of BNNT along the beam’s thickness are considered as uniform and decreasing-increasing functionally graded; and the extended mixture model is used to estimate the properties of nano-composite beam. The elastic medium around the smart nano-composite beam is modeled as elastic foundation. The governing equations of equilibrium are derived using energy method and nonlocal elasticity theory; and the critical buckling load is obtained for various boundary conditions such as simply-simply supported (S-S) and clamped-clamped (C-C) using the FEM. The results indicate that with an increase in the geometrical imperfection parameter, the stiffness of nano-composite beam increases and consequently the stability of the system increases. The effect of FG-X distribution type is more than uniform distributions. Also, the critical buckling load of nano-composite beam increases with an increase in the electric field and elastic foundation.http://jcme.iut.ac.ir/browse.php?a_code=A-10-1-45&slc_lang=en&sid=1Nonlinear buckling analysis Initial geometrical imperfection Various distributions of BNNTs Elastic foundation Nonlocal elasticity theory Finite element method.
spellingShingle M. Mohammadimehr
S. Alimirzaei
Nonlinear Buckling Analysis of Nano-composite Beam with Initial Geometrical Imperfection using Finite Element Method
Ravish/hā-yi ̒adadī dar Muhandisī
Nonlinear buckling analysis
Initial geometrical imperfection
Various distributions of BNNTs
Elastic foundation
Nonlocal elasticity theory
Finite element method.
title Nonlinear Buckling Analysis of Nano-composite Beam with Initial Geometrical Imperfection using Finite Element Method
title_full Nonlinear Buckling Analysis of Nano-composite Beam with Initial Geometrical Imperfection using Finite Element Method
title_fullStr Nonlinear Buckling Analysis of Nano-composite Beam with Initial Geometrical Imperfection using Finite Element Method
title_full_unstemmed Nonlinear Buckling Analysis of Nano-composite Beam with Initial Geometrical Imperfection using Finite Element Method
title_short Nonlinear Buckling Analysis of Nano-composite Beam with Initial Geometrical Imperfection using Finite Element Method
title_sort nonlinear buckling analysis of nano composite beam with initial geometrical imperfection using finite element method
topic Nonlinear buckling analysis
Initial geometrical imperfection
Various distributions of BNNTs
Elastic foundation
Nonlocal elasticity theory
Finite element method.
url http://jcme.iut.ac.ir/browse.php?a_code=A-10-1-45&slc_lang=en&sid=1
work_keys_str_mv AT mmohammadimehr nonlinearbucklinganalysisofnanocompositebeamwithinitialgeometricalimperfectionusingfiniteelementmethod
AT salimirzaei nonlinearbucklinganalysisofnanocompositebeamwithinitialgeometricalimperfectionusingfiniteelementmethod