Reduced-order models for MEMS applications

AH Nayfeh, MI Younis, EM Abdel-Rahman - Nonlinear dynamics, 2005 - Springer
We review the development of reduced-order models for MEMS devices. Based on their
implementation procedures, we classify these reduced-order models into two broad …

[HTML][HTML] Reduced-order models for microelectromechanical rectangular and circular plates incorporating the Casimir force

RC Batra, M Porfiri, D Spinello - International Journal of Solids and …, 2008 - Elsevier
We consider the von Kármán nonlinearity and the Casimir force to develop reduced-order
models for prestressed clamped rectangular and circular electrostatically actuated …

A reduced-order model for electrically actuated microplates

X Zhao, EM Abdel-Rahman… - … of Micromechanics and …, 2004 - iopscience.iop.org
We present a reduced-order model for electrically actuated microplate-based MEMS. The
model accounts for the electric force nonlinearity and the mid-plane stretching of the plate …

Size-dependent nonlinear forced vibration and dynamic stability of electrically actuated micro-plates

I Karimipour, YT Beni, AH Akbarzadeh - Communications in Nonlinear …, 2019 - Elsevier
A size-dependent structural dynamic model that incorporates the effect of geometric
nonlinearity is developed in this paper for the forced vibration and dynamic stability of thin …

[HTML][HTML] Effects of van der Waals force and thermal stresses on pull-in instability of clamped rectangular microplates

RC Batra, M Porfiri, D Spinello - Sensors, 2008 - mdpi.com
We study the influence of von Kármán nonlinearity, van der Waals force, and thermal
stresses on pull-in instability and small vibrations of electrostatically actuated microplates …

Tuning the primary resonances of a micro resonator, using piezoelectric actuation

S Azizi, MR Ghazavi, G Rezazadeh, I Ahmadian… - Nonlinear …, 2014 - Springer
Microbeam dynamics is important in MEMS filters and resonators. In this research, the effect
of piezoelectric actuation on the resonance frequencies of a piezoelectrically actuated …

Effect of temperature on pull-in voltage and natural frequency of an electrostatically actuated microplate

S Talebian, G Rezazadeh, M Fathalilou, B Toosi - Mechatronics, 2010 - Elsevier
In this paper a model based on distributed parameters has been presented to study
temperature effects on the mechanical behavior of an electrostatically actuated microplate …

Quantification of various reduced order modelling computational methods to study deflection of size-dependent plates

VA Krysko Jr, J Awrejcewicz, LA Kalutsky… - … & Mathematics with …, 2023 - Elsevier
Methods of reduced order modelling (ROM) of nonlinear PDEs to ODEs based on
investigation of flexible arbitrary geometry of the plan nano-plates have been reviewed …

Double nanoplate-based NEMS under hydrostatic and electrostatic actuations

F Ebrahimi, SHS Hosseini - The European Physical Journal Plus, 2016 - Springer
Presented herein is a comprehensive investigation on the nonlinear vibration behavior of
nanoplate-based nano electromechanical systems (NEMS) under hydrostatic and …

Vibrations and pull-in instabilities of microelectromechanical von Kármán elliptic plates incorporating the Casimir force

RC Batra, M Porfiri, D Spinello - Journal of Sound and Vibration, 2008 - Elsevier
We consider the von Kármán nonlinearity and the Casimir force to first develop a reduced-
order model for a prestressed clamped elliptic electrostatically actuated microplate, and then …