Modeling MEMS and NEMS

By J. Pelesko, D. Bernstein. 2002

609 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/3d7f624f510e46d08884db9cc8cf4b022e544693

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

Citations in the corpus

Multiplicity of solutions for a fourth order equation with power-type nonlinearity (2010, positive): “A motivation for considering negative powers in (2) stems from a model for the steady states of a simple micro electromechanical system (MEMS) which has the general form (see for example [32,37]) ⎧ ⎪⎪⎪⎪⎪⎪⎨ ⎪⎪⎪⎪⎪⎪⎩ αΔ2u = ⎛ ⎝β ∫”
Infinitely many turning points for an elliptic problem with a singular non‐linearity (2008, background): “This creates the so-called ‘pull-in instability’ which greatly affects the design of many devices (see [7, 9, 14, 21, 22] for a detailed discussion on MEMS devices).”
The dynamics of the piezo inkjet printhead operation (2010, methodology): “When modeling inkjet printheads, we have to face many challenges, like with the modeling of all Micro ElectroMechanical Systems (MEMS) [129].”
Memory effects in complex materials and nanoscale systems (2010, methodology): “For more details on MEMS and NEMS, we refer to [163,164,170].”
Nonlinear Dynamics and Its Applications in Micro- and Nanoresonators (2010, background): “The books of Senturia [41], Pelesko and Bernstein [42], Lobontiu [43], and Cleland [44] also provide systematic views of MEMS/NEMS modeling from first principles.”
Compactness along the branch of semistable and unstable solutions for an elliptic problem with a singular nonlinearity (2005, background): “This creates a so-called “pull-in instability” which greatly affects the design of many devices (see [10, 19] for a detailed discussion on MEMS devices).”
Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS (2010, background): “A comprehensive overview of their rapidly developing field can be found in the relatively recent monograph of Pelesko and Bernstein [140], which is a good source of information about the various areas of applications of MEMS.”
REDUCED-ORDER MODELS FOR MICROELECTROMECHANICAL RECTANGULAR AND CIRCULAR PLATES INCORPORATING THE CASIMIR FORCE (2008, background): “By assuming that g0=‘ 1 and by neglecting fringing fields due to reasons explained in Section 1, the magnitude F e of the electrostatic force acting on the deformable electrode along its normal is given by, see Pelesko and Bernstein (2002),”
On a Fourth Order Elliptic Problem with a Singular Nonlinearity (2009, background): “The main purpose of this paper is to investigate a class of fourth order problems which arise in applications in the study of Micro Electro Mechanical Systems (MEMS), micro-devices developed since late 1960s and which nowadays enter as a key ingredient in many industrial products beyond having made ”