Size-dependent dynamic analysis of rectangular nanoplates in the presence of electrostatic, Casimir and thermal forces

Amin Farrokhabadi; Fateme Tavakolian

doi:10.1016/j.apm.2017.06.017

Size-dependent dynamic analysis of rectangular nanoplates in the presence of electrostatic, Casimir and thermal forces

Amin Farrokhabadi, Fateme Tavakolian

Research output: Journal Publication › Article › peer-review

10 Citations (Scopus)

Abstract

In the present study by considering the small-scale effects, the dynamic instability of fully clamped and simply supported nanoplates is studied in the attendance of electrostatic, Casimir as well as thermal forces. To this end, by applying the nonlocal elasticity theory of Eringen along with the classical plate theory, the dynamic equilibrium equation of nanoplates is obtained by incorporating the in-plane thermal and transverse intermolecular distributed loads. The solution of the obtained nonlinear governing equation is done using the Galerkin method and the dynamic pull-in instability voltage of the nanoplates is compared with the available experimental results. Finally, the simultaneous effects of thermal force as well as nonlocal parameter on the dynamic response of nanoplates are examined in the presence of Casimir force in detail.

Original language	English
Pages (from-to)	604-620
Number of pages	17
Journal	Applied Mathematical Modelling
Volume	50
DOIs	https://doi.org/10.1016/j.apm.2017.06.017
Publication status	Published - Oct 2017
Externally published	Yes

Keywords

Casimir
Dynamic pull-in
Nanoplate
Nonlocal
Thermal force

ASJC Scopus subject areas

Modelling and Simulation
Applied Mathematics

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10.1016/j.apm.2017.06.017

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title = "Size-dependent dynamic analysis of rectangular nanoplates in the presence of electrostatic, Casimir and thermal forces",

abstract = "In the present study by considering the small-scale effects, the dynamic instability of fully clamped and simply supported nanoplates is studied in the attendance of electrostatic, Casimir as well as thermal forces. To this end, by applying the nonlocal elasticity theory of Eringen along with the classical plate theory, the dynamic equilibrium equation of nanoplates is obtained by incorporating the in-plane thermal and transverse intermolecular distributed loads. The solution of the obtained nonlinear governing equation is done using the Galerkin method and the dynamic pull-in instability voltage of the nanoplates is compared with the available experimental results. Finally, the simultaneous effects of thermal force as well as nonlocal parameter on the dynamic response of nanoplates are examined in the presence of Casimir force in detail.",

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T1 - Size-dependent dynamic analysis of rectangular nanoplates in the presence of electrostatic, Casimir and thermal forces

AU - Farrokhabadi, Amin

AU - Tavakolian, Fateme

PY - 2017/10

Y1 - 2017/10

N2 - In the present study by considering the small-scale effects, the dynamic instability of fully clamped and simply supported nanoplates is studied in the attendance of electrostatic, Casimir as well as thermal forces. To this end, by applying the nonlocal elasticity theory of Eringen along with the classical plate theory, the dynamic equilibrium equation of nanoplates is obtained by incorporating the in-plane thermal and transverse intermolecular distributed loads. The solution of the obtained nonlinear governing equation is done using the Galerkin method and the dynamic pull-in instability voltage of the nanoplates is compared with the available experimental results. Finally, the simultaneous effects of thermal force as well as nonlocal parameter on the dynamic response of nanoplates are examined in the presence of Casimir force in detail.

AB - In the present study by considering the small-scale effects, the dynamic instability of fully clamped and simply supported nanoplates is studied in the attendance of electrostatic, Casimir as well as thermal forces. To this end, by applying the nonlocal elasticity theory of Eringen along with the classical plate theory, the dynamic equilibrium equation of nanoplates is obtained by incorporating the in-plane thermal and transverse intermolecular distributed loads. The solution of the obtained nonlinear governing equation is done using the Galerkin method and the dynamic pull-in instability voltage of the nanoplates is compared with the available experimental results. Finally, the simultaneous effects of thermal force as well as nonlocal parameter on the dynamic response of nanoplates are examined in the presence of Casimir force in detail.

KW - Casimir

KW - Dynamic pull-in

KW - Nanoplate

KW - Nonlocal

KW - Thermal force

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M3 - Article

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JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

ER -

Size-dependent dynamic analysis of rectangular nanoplates in the presence of electrostatic, Casimir and thermal forces

Abstract

Keywords

ASJC Scopus subject areas

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