Modelling the dynamics of a MEMS resonator: Simulations and experiments

被引:171
作者
Mestrom, R. M. C. [1 ]
Fey, R. H. B. [1 ]
van Beek, J. T. M. [2 ]
Phan, K. L. [2 ]
Nijmeijer, H. [1 ]
机构
[1] Eindhoven Univ Technol, Dept Mech Engn, Dynam & Control Grp, NL-5600 MB Eindhoven, Netherlands
[2] NXP Semicond, Res Labs, NL-5656 AE Eindhoven, Netherlands
关键词
MEMS resonators; nonlinear oscillations; modelling; experiments;
D O I
10.1016/j.sna.2007.04.025
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
Nonlinearities in MEMS silicon resonators are caused by different effects. Depending on the resonator layout, different nonlinearities may be dominant in the resonator response. Based on experimental results, a modelling approach is proposed to arrive at a nonlinear dynamic model that potentially captures the observed behaviour. Apart from the model, consisting of a mechanical and an electrical (measurement) part, the effect of thermal noise is also estimated. With the proposed model, a quantitative match between the simulation and experimental results is established such that a good starting point is achieved for a more thorough modelling procedure. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:306 / 315
页数:10
相关论文
共 15 条
[1]   Secondary resonances of electrically actuated resonant microsensors [J].
Abdel-Rahman, EM ;
Nayfeh, AH .
JOURNAL OF MICROMECHANICS AND MICROENGINEERING, 2003, 13 (03) :491-501
[2]  
[Anonymous], VIBRATIONS STABILITY
[3]  
[Anonymous], VIBRATION PROBLEMS E
[4]  
Doedel E.J., 1998, AUTO97 CONTINUATION
[5]   Long term structural dynamics of mechanical systems with local nonlinearities [J].
Fey, RHB ;
vanCampen, DH ;
deKraker, A .
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1996, 118 (02) :147-153
[6]  
JOHNSON JB, 1928, PHYS REV, V32, P110
[7]   Nonlinear mechanical effects in silicon longitudinal mode beam resonators [J].
Kaajakari, V ;
Mattila, T ;
Lipsanen, A ;
Oja, A .
SENSORS AND ACTUATORS A-PHYSICAL, 2005, 120 (01) :64-70
[8]   Nonlinear limits for single-crystal silicon microresonators [J].
Kaajakari, V ;
Mattila, T ;
Oja, A ;
Seppä, H .
JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, 2004, 13 (05) :715-724
[9]   Nonlinear elastic equation of state of solids subjected to uniaxial homogeneous loading [J].
Kim, KY ;
Sachse, W .
JOURNAL OF MATERIALS SCIENCE, 2000, 35 (13) :3197-3205
[10]   14 MHz micromechanical oscillator [J].
Mattila, T ;
Jaakkola, O ;
Kiihamäki, J ;
Karttunen, J ;
Lamminmäki, T ;
Rantakari, P ;
Oja, A ;
Seppä, H ;
Kattelus, H ;
Tittonen, I .
SENSORS AND ACTUATORS A-PHYSICAL, 2002, 97-8 :497-502