Approximations in Canonical Electrostatic MEMS Models
| Author(s) | Pelesko, John A. | |
| Author(s) | Driscoll, Tobin A. | |
| Date Accessioned | 2004-12-21T21:52:06Z | |
| Date Available | 2004-12-21T21:52:06Z | |
| Publication Date | 2004-09-28 | |
| Abstract | The mathematical modeling and analysis of electrostatically actuated micro- and nanoelectromechanical systems (MEMS and NEMS) has typically relied upon simplified electrostatic field approximations to facilitate the analysis. Usually, the small aspect ratio of typical MEMS and NEMS devices is used to simplify Laplace's equation. Terms small in this aspect ratio are ignored. Unfortunately, such an approximation is not uniformly valid in the spatial variables. Here, this approximation is revisited and a uniformly valid asymptotic theory for a general "drum shaped" electrostatically actuated device is presented. The structure of the solution set for the standard non-uniformly valid theory is reviewed and new numerical results for several domain shapes presented. The effect of retaining typically ignored terms on the solution set of the standard theory is explored. | en |
| Extent | 929487 bytes | |
| MIME type | application/pdf | |
| URL | http://udspace.udel.edu/handle/19716/208 | |
| Language | en_US | |
| Publisher | Kluwer Academic Publishers (see: http://www.sherpa.ac.uk/romeo.php for publisher's conditions for archiving in an institutional repository) | en |
| Part of Series | Technical Reports: 2004-07 | |
| Keywords | MEMS | en |
| Keywords | NEMS | en |
| Keywords | microelectromechanical systems | en |
| Keywords | nanoelectromechaninanoelectromechanical | en |
| Keywords | nonlinear elliptic problem | en |
| Keywords | continuation method | en |
| Title | Approximations in Canonical Electrostatic MEMS Models | en |
| Type | Technical Report | en |