Access the full text.
Sign up today, get DeepDyve free for 14 days.
M. Ghayesh (2018)
Nonlinear vibration analysis of axially functionally graded shear-deformable tapered beamsApplied Mathematical Modelling
Chien Thai, A. Ferreira, T. Tran, P. Phung-Van (2020)
A size-dependent quasi-3D isogeometric model for functionally graded graphene platelet-reinforced composite microplates based on the modified couple stress theoryComposite Structures, 234
M. Ghayesh, H. Farokhi (2015)
Chaotic motion of a parametrically excited microbeamInternational Journal of Engineering Science, 96
A. Gholipour, H. Farokhi, M. Ghayesh (2015)
In-plane and out-of-plane nonlinear size-dependent dynamics of microplatesNonlinear Dynamics, 79
A. Nayfeh, M. Younis, E. Abdel-Rahman (2007)
Dynamic pull-in phenomenon in MEMS resonatorsNonlinear Dynamics, 48
M. Khorshidi (2018)
The material length scale parameter used in couple stress theories is not a material constantInternational Journal of Engineering Science, 133
Cha’o-Kuang Chen, B. Chen, C. Liu (2015)
Entropy generation in mixed convection magnetohydrodynamic nanofluid flow in vertical channelInternational Journal of Heat and Mass Transfer, 91
M. Shaat, S. Mohamed (2014)
Nonlinear-electrostatic analysis of micro-actuated beams based on couple stress and surface elasticity theoriesInternational Journal of Mechanical Sciences, 84
M. Ghayesh, H. Farokhi, G. Alici (2016)
Size-dependent performance of microgyroscopesInternational Journal of Engineering Science, 100
Y. Beni, M. Abadyan (2013)
Size-dependent pull-in instability of torsional nano-actuatorPhysica Scripta, 88
M. Hatami, M. Sheikholeslami, G. Domairry (2014)
High accuracy analysis for motion of a spherical particle in plane Couette fluid flow by Multi-step Differential Transformation MethodPowder Technology, 260
V. Mohammadi, R. Ansari, M. Shojaei, R. Gholami, S. Sahmani (2013)
Size-dependent dynamic pull-in instability of hydrostatically and electrostatically actuated circular microplatesNonlinear Dynamics, 73
Chenzhi Tang, G. Alici (2011)
Evaluation of length-scale effects for mechanical behaviour of micro- and nanocantilevers: I. Experimental determination of length-scale factorsJournal of Physics D: Applied Physics, 44
Adel Nabian, G. Rezazadeh, Mohammadali Haddad-derafshi, A. Tahmasebi (2007)
Mechanical behavior of a circular micro plate subjected to uniform hydrostatic and non-uniform electrostatic pressureMicrosystem Technologies, 14
M. Lin, Sen-Yung Lee, Cha’o-Kuang Chen (2019)
Nonlocal Effect on the Pull-in Instability Analysis of Graphene Sheet Nanobeam ActuatorJournal of Mechanics
H. Nathanson, W. Newell, R. Wickstrom, J. Davis (1967)
The resonant gate transistorIEEE Transactions on Electron Devices, 14
M. Saif, B. Alaca, H. Sehitoglu (1999)
Analytical modeling of electrostatic membrane actuator for micro pumpsIEEE\/ASME Journal of Microelectromechanical Systems, 8
Fan Yang, A. Chong, D. Lam, P. Tong (2002)
Couple stress based strain gradient theory for elasticityInternational Journal of Solids and Structures, 39
R. Legtenberg, H. Tilmans (1994)
Electrostatically driven vacuum-encapsulated polysilicon resonators Part I. Design and fabricationSensors and Actuators A-physical, 45
K. Rashvand, G. Rezazadeh, Hamed Mobki, M. Ghayesh (2013)
On the size-dependent behavior of a capacitive circular micro-plate considering the variable length-scale parameterInternational Journal of Mechanical Sciences, 77
Cha’o-Kuang Chen, S. Ho (1996)
Application of differential transformation to eigenvalue problemsApplied Mathematics and Computation, 79
G. Rezazadeh, S. Rezaei, A. Tahmasebi (2007)
INVESTIGATION OF THE PULL-IN PHENOMENON IN DRUG DELIVERY MICROPUMP USING GALERKIN METHOD, 78
C. Lim, G. Zhang, J. Reddy (2015)
A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagationJournal of The Mechanics and Physics of Solids, 78
M. Ghayesh (2019)
Viscoelastic mechanics of Timoshenko functionally graded imperfect microbeamsComposite Structures
A. Askari, M. Tahani (2017)
Size-dependent dynamic pull-in analysis of geometric non-linear micro-plates based on the modified couple stress theoryPhysica E-low-dimensional Systems & Nanostructures, 86
M. Ghayesh, M. Amabili, H. Farokhi (2013)
Three-dimensional nonlinear size-dependent behaviour of Timoshenko microbeamsInternational Journal of Engineering Science, 71
Kaifa Wang, T. Kitamura, Baolin Wang (2015)
Nonlinear pull-in instability and free vibration of micro/nanoscale plates with surface energy - A modified couple stress theory modelInternational Journal of Mechanical Sciences, 99
M. Ghayesh, H. Farokhi, M. Amabili (2013)
Nonlinear dynamics of a microscale beam based on the modified couple stress theoryComposites Part B-engineering, 50
M. Ghayesh (2019)
Viscoelastic dynamics of axially FG microbeamsInternational Journal of Engineering Science
M. Ghayesh (2018)
Dynamics of functionally graded viscoelastic microbeamsInternational Journal of Engineering Science, 124
W. Yang, W. Kang, X. Wang (2017)
Thermal and surface effects on the pull-in characteristics of circular nanoplate NEMS actuator based on nonlocal elasticity theoryApplied Mathematical Modelling, 43
H. Farokhi, M. Ghayesh (2018)
Nonlinear mechanics of electrically actuated microplatesInternational Journal of Engineering Science, 123
An International Journal, 21
H. Sadeghian, C. Yang, J. Goosen, E. Drift, A. Bossche, P. French, F. Keulen (2009)
Characterizing size-dependent effective elastic modulus of silicon nanocantilevers using electrostatic pull-in instabilityApplied Physics Letters, 94
M. Lin, Sen-Yung Lee, Cha’o-Kuang Chen (2018)
Dynamic characteristic analysis of an electrostatically-actuated circular nanoplate subject to surface effectsApplied Mathematical Modelling
Kaifa Wang, Baolin Wang, Chunwei Zhang (2017)
Surface energy and thermal stress effect on nonlinear vibration of electrostatically actuated circular micro-/nanoplates based on modified couple stress theoryActa Mechanica, 228
B. Bozyigit, Y. Yesilce, S. Çatal (2018)
Free vibrations of axial-loaded beams resting on viscoelastic foundation using Adomian decomposition method and differential transformationEngineering Science and Technology, an International Journal
H. Sedighi, F. Daneshmand, Jamal Zare (2014)
The influence of dispersion forces on the dynamic pull-in behavior of vibrating nano-cantilever based NEMS including fringing field effectArchives of Civil and Mechanical Engineering, 14
M. Ghayesh, H. Farokhi, M. Amabili (2013)
Nonlinear behaviour of electrically actuated MEMS resonatorsInternational Journal of Engineering Science, 71
M. Lin, H. Lai, Cha’o-Kuang Chen (2018)
Analysis of nonlocal nonlinear behavior of graphene sheet circular nanoplate actuators subject to uniform hydrostatic pressureMicrosystem Technologies, 24
M. Ghayesh, H. Farokhi, M. Amabili (2014)
In-plane and out-of-plane motion characteristics of microbeams with modal interactionsComposites Part B-engineering, 60
R. Ansari, V. Mohammadi, M. Shojaei, R. Gholami, M. Darabi (2014)
A geometrically non-linear plate model including surface stress effect for the pull-in instability analysis of rectangular nanoplates under hydrostatic and electrostatic actuationsInternational Journal of Non-linear Mechanics, 67
A. Vahdat, F. Abdolkarimzadeh, A. Feyzi, G. Rezazadeh, Saeed Tarverdilo (2010)
Effect of thermal stresses on stability and frequency response of a capacitive microphoneMicroelectron. J., 41
Lu Lu, Xingming Guo, Jianzhong Zhao (2017)
Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theoryInternational Journal of Engineering Science, 116
(1986)
Differential transformation and its applications for electrical circuits
N. Fleck, J. Hutchinson (2001)
A reformulation of strain gradient plasticityJournal of The Mechanics and Physics of Solids, 49
A. Eringen (1983)
On differential equations of nonlocal elasticity and solutions of screw dislocation and surface wavesJournal of Applied Physics, 54
S. Mirkalantari, M. Hashemian, S. Eftekhari, D. Toghraie (2017)
Pull-in instability analysis of rectangular nanoplate based on strain gradient theory considering surface stress effectsPhysica B-condensed Matter, 519
G. Zhang, X.-L. Gao, J. Wang (2015)
A non-classical model for circular Kirchhoff plates incorporating microstructure and surface energy effectsActa Mechanica, 226
M. Ghayesh, H. Farokhi (2018)
Nonlinear behaviour of electrically actuated microplate-based MEMS resonatorsMechanical Systems and Signal Processing
This paper aims to present a nonclassical circular plate model subjected to hydrostatic pressure and electrostatic actuations by considering the modified couple stress theory and the surface elasticity theory. The pull-in phenomenon and nonlinear behavior of circular nanoplate are investigated.Design/methodology/approachThe hybrid differential transformation method (DTM) and finite difference method (FDM) are used to approach the model. The DTM was first applied to the equation with respect to the time, and then the FDM was applied with respect to the radius.FindingsThe numerical results were in agreement with the numerical data in the previous literature. The effects of the length scale parameters, surface parameters, thermal stress, residual stress, hydrostatic pressure and electrostatic actuations of the nonclassical circular plate on the pull-in instability are investigated. The parametric study demonstrated that the pull-in behavior of the circular nanoplate was size dependent.Originality/valueIn this study, the results provide a suitable method in a nonclassical circular plate model. The length scale parameter had an obvious effect on the nonlinear behavior of the circular nanoplate.
Engineering Computations: International Journal for Computer-Aided Engineering and Software – Emerald Publishing
Published: Jul 9, 2021
Keywords: Finite difference method; Modified couple stress theory; Differential transformation method; Pull-in voltage; Surface elasticity theory
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.