Nonlocal coupled thermoelastic analysis of nanobeam under Casimir force

This paper performs the coupled thermoelastic analysis of a nanobeam with clamped–clamped and pined–pined boundary conditions using the Green–Naghdi theory with energy dissipation. The theory of nonlocal elasticity is used to understand the small-scale effect. Also, the impact of Casimir force is in...

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Published inArchive of applied mechanics (1991) Vol. 92; no. 12; pp. 3729 - 3746
Main Authors Arhami, Mohammad, Koochi, Ali, Gharib, Mohammad Reza
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022
Springer Nature B.V
Subjects
Boundary conditions
Clamping
Classical Mechanics
Clean energy
Energy dissipation
Engineering
Finite element method
Nonlocal elasticity
Original
Scale effect
Theoretical and Applied Mechanics
Time response
Casimir force
Coupled thermoelasticity
Green–Naghdi theory
Nonlocal elasticity
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Abstract This paper performs the coupled thermoelastic analysis of a nanobeam with clamped–clamped and pined–pined boundary conditions using the Green–Naghdi theory with energy dissipation. The theory of nonlocal elasticity is used to understand the small-scale effect. Also, the impact of Casimir force is incorporated in the developed model. The finite element method is used to solve the non-dimensional coupled governing equations after they have been formed. The Newmark method is also used to investigate the problem’s time response. Eventually, the effects of beam geometry, small-scale parameters, gap distance, and support type on the nanobeam’s dynamic behavior are analyzed using numerical examples.
AbstractList This paper performs the coupled thermoelastic analysis of a nanobeam with clamped–clamped and pined–pined boundary conditions using the Green–Naghdi theory with energy dissipation. The theory of nonlocal elasticity is used to understand the small-scale effect. Also, the impact of Casimir force is incorporated in the developed model. The finite element method is used to solve the non-dimensional coupled governing equations after they have been formed. The Newmark method is also used to investigate the problem’s time response. Eventually, the effects of beam geometry, small-scale parameters, gap distance, and support type on the nanobeam’s dynamic behavior are analyzed using numerical examples.
Author Gharib, Mohammad Reza
Arhami, Mohammad
Koochi, Ali
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  givenname: Ali
  surname: Koochi
  fullname: Koochi, Ali
  organization: Department of Mechanical Engineering, University of Torbat Heydarieh
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  givenname: Mohammad Reza
  orcidid: 0000-0002-0151-7541
  surname: Gharib
  fullname: Gharib, Mohammad Reza
  email: m.gharib@torbath.ac.ir
  organization: Department of Mechanical Engineering, University of Torbat Heydarieh
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Issue 12
Keywords Casimir force
Coupled thermoelasticity
Green–Naghdi theory
Nonlocal elasticity
Language English
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Snippet This paper performs the coupled thermoelastic analysis of a nanobeam with clamped–clamped and pined–pined boundary conditions using the Green–Naghdi theory...
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SubjectTerms Boundary conditions
Clamping
Classical Mechanics
Clean energy
Energy dissipation
Engineering
Finite element method
Nonlocal elasticity
Original
Scale effect
Theoretical and Applied Mechanics
Time response
Title Nonlocal coupled thermoelastic analysis of nanobeam under Casimir force
URI https://link.springer.com/article/10.1007/s00419-022-02258-3
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