Squeeze-film damping of flexible microcantilevers at low ambient pressures: theory and experiment

被引：30

作者：

Lee, Jin Woo ^{[1
]}

Tung, Ryan ^{[2
]}

Raman, Arvind ^{[2
]}

Sumali, Hartono ^{[3
]}

Sullivan, John P. ^{[3
]}

机构：

[1] Ajou Univ, Div Mech Engn, Suwon 443709, South Korea

[2] Purdue Univ, Birck Nanotechnol Ctr, Sch Mech Engn, W Lafayette, IN 47907 USA

[3] Sandia Natl Labs, Albuquerque, NM 87185 USA

来源：

JOURNAL OF MICROMECHANICS AND MICROENGINEERING | 2009年 / 19卷 / 10期

关键词：

MODIFIED REYNOLDS-EQUATION; RF MEMS SWITCH; QUALITY FACTOR; WAVE-FORM; RESONATORS; MODEL; VACUUM; SIMULATION; MICROBEAM; ACTUATION;

D O I：

10.1088/0960-1317/19/10/105029

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

An improved theoretical approach is proposed to predict the dynamic behavior of long, slender and flexible microcantilevers affected by squeeze-film damping at low ambient pressures. Our approach extends recent continuum gas damping models (Veijola 2004 J. Micromech. Microeng. 14 1109-18, Gallis and Torczynski 2004 J. Microelectromech. Syst. 13 653-9), which were originally derived for a rigid oscillating plate near a wall, to flexible microcantilevers for calculating and predicting squeeze-film damping ratios of higher order bending modes at reduced ambient pressures. Theoretical frequency response functions are derived for a flexible microcantilever beam excited both inertially and via external forcing. Experiments performed carefully at controlled gas pressures are used to validate our theoretical approach over five orders of the Knudsen number. In addition, we investigate the relative importance of theoretical assumptions made in the Reynolds-equation-based approach for flexible microelectromechanical systems.

引用

页数：14

共 39 条

[1] A COMPARISON OF SQUEEZE-FILM THEORY WITH MEASUREMENTS ON A MICROSTRUCTURE [J].