An electrostatic-elastic membrane system with an external pressure

被引：3

作者：

Beckham, J. Regan ^{[1
]}

Pelesko, John A. ^{[1
]}

机构：

[1] Univ Delaware, Dept Math Sci, Newark, DE 19713 USA

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 11-12期

关键词：

Electrostatic MEMS; Semi-linear elliptic equation; Phase plane; Perturbation methods; STABILITY;

D O I：

10.1016/j.mcm.2011.06.051

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An elastic membrane subject to an external pressure and electrostatic force is considered. The resulting elliptic problem is analyzed for the strip and disk geometry. The structure of the solution set is explored with the aid of phase plane techniques, perturbation methods, and bifurcation analysis. In each case, the stability of the solution is determined using linear stability theory with the aid of the bifurcation diagram. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2686 / 2708

页数：23

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