Nonlocal Singular Problems and Applications to MEMS (original) (raw)

Nonlocal dynamic problems with singular nonlinearities and applications to MEMS

D. Cassani

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Dynamics of electrostatic microelectromechanical systems actuators

Yisong Yang

Journal of Mathematical Physics, 2012

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GLOBAL EXISTENCE FOR NONLOCAL MEMS PROBLEMS

D. Cassani

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Dynamics of a Canonical Electrostatic MEMS/NEMS System

Shangbing Ai

Journal of Dynamics and Differential Equations, 2008

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Periodic solutions and the avoidance of pull‐in instability in nonautonomous microelectromechanical systems

Tassos Bountis

Mathematical Methods in the Applied Sciences, 2021

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A hyperbolic non-local problem modelling MEMS technology

Nikos Kavallaris

Rocky Mountain Journal of Mathematics, 2011

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PERIODIC SOLUTIONS TO NONLOCAL MEMS EQUATIONS In loving memory of Alfredo

D. Cassani

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Global and touchdown behaviour of the generalized MEMS device equation

Kin Ming Hui

2008

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Direct and inverse problems related to MEMS

D. Cassani

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Nonlinear Analysis of Electrostatic Actuation in MEMS with Arbitrary Geometry

Jan G Korvink

2000

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Nonlinear Analysis of MEMS Electrostatic Microactuators: Primary and Secondary Resonances of the First Mode

Fehmi NAJAR, Eihab Abdel-Rahman, E. Abdel-rahman

Journal of Vibration and Control, 2010

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Dynamics of electrostatic MEMS actuators

Yisong Yang

2012

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Review of modeling electrostatically actuated microelectromechanical systems

Romesh Batra

2007

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TOPICAL REVIEW: Review of modeling electrostatically actuated microelectromechanical systems

Romesh Batra, Davide Spinello

Smart Materials & Structures, 2007

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Nonautonomous Saddle-Node Bifurcation in a Canonical Electrostatic Mems

Alexander Gutierrez

International Journal of Bifurcation and Chaos, 2013

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A Nonlinear Reduced-Order Model for Electrostatic MEMS

Eihab Abdel-Rahman

Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 2003

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Nonlinear non-local elliptic equation modelling electrostatic actuation

Yisong Yang

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2007

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On a nonlocal parabolic problem arising in electrostatic MEMS control

Nikos Kavallaris

Discrete and Continuous Dynamical Systems, 2012

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Singular Perturbation Analysis of a Regularized MEMS Model

Peter Szmolyan

SIAM Journal on Applied Dynamical Systems

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Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS

Valerio Esposito

Courant Lecture Notes, 2010

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Nonlinear nonlocal analysis of electrostatic nanoactuators

Sami El Borgi

Composite Structures, 2015

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Analysis of discretized parabolic problems modeling electrostatic micro-electromechanical systems

Laurence Cherfils

Discrete & Continuous Dynamical Systems - S, 2018

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Analysis of the Dynamics and Touchdown in a Model of Electrostatic MEMS

N. Smyth

SIAM Journal on Applied Mathematics, 2007

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A Variational Principle for a Nonlinear Oscillator Arising in the Microelectromechanical System

Piotr Sebastian Skrzypacz

Applied and Computational Mechanics, 2021

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On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control

Nikos Kavallaris

Nonlinear Analysis-theory Methods & Applications, 2016

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A study of a nonlocal problem with Robin boundary conditions arising from MEMS technology

Nikos Kavallaris

arXiv (Cornell University), 2019

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Equilibrium Structure of a 1-DOF Electrostatic MEMS Model With Parasitics

Sanjeeva Maithripala

Volume 9: Mechanical Systems and Control, Parts A, B, and C, 2007

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Touchdown and related problems in electrostatic MEMS device equation

T. Suzuki, Nikos Kavallaris

Nodea-nonlinear Differential Equations and Applications, 2008

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Pull-in and snap-through instabilities in transient deformations of microelectromechanical systems

Romesh Batra

2009

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Modelling the electrostatic actuation of MEMS: state of the art 2005

Atul Tomar

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LI-He’s Modified Homotopy Perturbation Method for Doubly-Clamped Electrically Actuated Microbeams-Based Microelectromechanical System

Naveed Anjum

Facta Universitatis, Series: Mechanical Engineering, 2021

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Addressing geometric nonlinearities with cantilever microelectromechanical systems: Beyond the Duffing model

Yury Bunkov, Henri Godfrin

Physical Review B, 2010

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