Simulations and experiments of hardening and softening resonances in a clamped-clamped beam MEMS resonator

被引:64
作者
Mestrom, R. M. C. [1 ]
Fey, R. H. B. [2 ]
Phan, K. L. [3 ]
Nijmeijer, H. [2 ]
机构
[1] Eindhoven Univ Technol, Dept Elect Engn, Electromagnet & Wireless Grp, NL-5600 MB Eindhoven, Netherlands
[2] Eindhoven Univ Technol, Dept Mech Engn, Dynam & Control Grp, NL-5600 MB Eindhoven, Netherlands
[3] NXP Semicond, NXP TSMC Res Ctr, NL-5656 AE Eindhoven, Netherlands
关键词
MEMS resonator; Multiphysics modeling; Nonlinear dynamic behavior; Experimental validation; ELECTROSTATICALLY ACTUATED MICROSTRUCTURES; INTERNAL-FRICTION; VIBRATING BEAMS; MICROBEAM; DYNAMICS; SHEAR;
D O I
10.1016/j.sna.2010.04.020
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
By means of a combined analytical-numerical and experimental approach, the nonlinear dynamic behavior of a clamped-clamped beam MEMS resonator has been investigated. A good qualitative correspondence between simulations and experiments has been obtained. First-principles based multiphysics modeling is applied to derive a reduced-order model of the resonator. The model includes nonlinear geometric and electrostatic effects as well as thermoelastic damping. Both simulations and experiments show hardening and softening nonlinear dynamic behavior depending on the excitation parameters. The model captures the observed nonlinear behavior qualitatively and allows for design optimization with respect to nonlinear effects. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:225 / 234
页数:10
相关论文
共 34 条
[1]  
AGARWAL M, 2006, P IEEE INT FREQ CONT
[2]   NONLINEAR VIBRATIONS AND HYSTERESIS OF MICROMACHINED SILICON RESONATORS DESIGNED AS FREQUENCY-OUT SENSORS [J].
ANDRES, MV ;
FOULDS, KWH ;
TUDOR, MJ .
ELECTRONICS LETTERS, 1987, 23 (18) :952-954
[3]  
[Anonymous], J PHYS D, DOI DOI 10.1088/0022-3727/8/16/003
[4]  
Boley BA., 2012, Theory of Thermal Stresses
[5]   RESONANT SILICON STRUCTURES [J].
BUSER, RA ;
DEROOIJ, NF .
SENSORS AND ACTUATORS, 1989, 17 (1-2) :145-154
[6]   Linear and nonlinear tuning of parametrically excited MEMS oscillators [J].
DeMartini, Barry E. ;
Rhoads, Jeffrey F. ;
Turner, Kimberly L. ;
Shaw, Steven W. ;
Moehlis, Jeff .
JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, 2007, 16 (02) :310-318
[7]  
Doedel EJ., 1998, AUTO 97 CONTINUATION
[8]   Dynamics of transversely vibrating beams using four engineering theories [J].
Han, SM ;
Benaroya, H ;
Wei, T .
JOURNAL OF SOUND AND VIBRATION, 1999, 225 (05) :935-988
[9]   Vibration displacement on substrate due to time-harmonic stress sources from a micromechanical resonator [J].
Hao, Zhili ;
Xu, Yang .
JOURNAL OF SOUND AND VIBRATION, 2009, 322 (1-2) :196-215
[10]  
JOHNSON JB, 1928, PHYS REV, V32, P110