Touchdown and related problems in electrostatic MEMS device equation
نویسندگان
چکیده
منابع مشابه
Dynamics and Touchdown in Electrostatic MEMS
Perhaps the most widely known nonlinear phenomena in nanoand microelectromechanical systems is the “pull-in” or “jump-to-contact” instability. In this instability, when applied voltages are increased beyond a certain critical voltage there is no longer a steady-state configuration of the device where mechanical members remain separate. This instability affects the design of many devices. It may...
متن کاملAnalysis of the Dynamics and Touchdown in a Model of Electrostatic MEMS
We study a reaction-diffusion equation in a bounded domain in the plane, which is a mathematical model of an idealized electrostatically actuated microelectromechanical system (MEMS). A relevant feature in these systems is the “pull-in” or “jump-to contact” instability, which arises when applied voltages are increased beyond a critical value. In this situation, there is no longer a steady state...
متن کاملRegularized Model of Post-Touchdown Configurations in Electrostatic MEMS: Equilibrium Analysis
In canonical models of Micro-Electro Mechanical Systems (MEMS), an event called touchdown whereby the electrical components of the device come into contact, is characterized by a blow up in the governing equations and a non-physical divergence of the electric field. In the present work, we propose novel regularized governing equations whose solutions remain finite at touchdown and exhibit addit...
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Interface dynamics of post contact states in regularized models of electrostatic-elastic interactions are analyzed. A canonical setting for our investigations is the field of MicroElectromechanical Systems (MEMS) in which flexible elastic structures may come into physical contact due to applied Coulomb forces. We study the dynamic features of a recently derived regularized model (A.E. Lindsay e...
متن کاملRegularized Model of Post - Touchdown Configurations in Electrostatic MEMS : Bistability Analysis
This paper considers the problem of stiction in electrostatic-elastic deflections whereby elastic surfaces adhere to one another after coming into physical contact under attracting Coulomb interactions. This phenomenon is studied in a family of recently derived models which account for forces which become important when the elastic surfaces are in close proximity. The presence of bistability in...
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ژورنال
عنوان ژورنال: Nonlinear Differential Equations and Applications NoDEA
سال: 2008
ISSN: 1021-9722,1420-9004
DOI: 10.1007/s00030-008-7081-5