The Dynamics Characteristics Analysis of Micro-Mechanical-Resonator Under The Squeeze Film Damping

ZHANG Qi-chang,ZHOU Fan-sen,WANG Wei

Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (17) : 124-130.

PDF(1725 KB)
PDF(1725 KB)
Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (17) : 124-130.

The Dynamics Characteristics Analysis of Micro-Mechanical-Resonator Under The Squeeze Film Damping

  • ZHANG Qi-chang,ZHOU Fan-sen,WANG Wei
Author information +
History +

Abstract

Electrostatic actuated micromechanical resonators are widely used in the chemical sensor and the sensor of biological species, which work in the air or liquid, as they take advantage of high frequency, low-power consumption and small size. The air damping of the surface effect and cubic nonlinear static electricity can significantly affect the dynamic response characteristics of the micromechanical resonator. In this paper, via squeeze-film damping theory, the effects of air damping due to ambient pressures during free vibration and cubic nonlinear electrostatic force on the patterns of movement and response performance were investigated in detail. The relationship between ambient pressure and nonlinear electrostatic force are found. It indicates that the resonance frequencies of micromechanical resonator will increase with the increase of the ambient pressure, while the vibration amplitudes and the drift of the resonance will decline with the increase of the ambient pressure. And it also indicates that cubic nonlinear electrostatic force will make MEMS resonators exhibit softening or hardening nonlinear characteristics and can not to be ignore by amplitude frequency curve for small amplitude vibration.

Key words

micro-mechanical-resonator / squeeze film damping / ambient pressure

Cite this article

Download Citations
ZHANG Qi-chang,ZHOU Fan-sen,WANG Wei. The Dynamics Characteristics Analysis of Micro-Mechanical-Resonator Under The Squeeze Film Damping[J]. Journal of Vibration and Shock, 2015, 34(17): 124-130

References

[1] 岳东旭, 于虹, 袁卫民. 静电驱动的亚微米悬臂梁谐振器非线性特性[J]. 光学 精密工程, 2011, 19(4): 783.
    YUE Dong-xu, YU Hong, YUAN Wei-min. Nonlinear characteristics of sub micron cantilever beam resonators actuated by statical electricity[J]. Optics and Precision Engineering, 2011, 19(4): 783
[2] Ruzziconi L, Bataineh AM, Younis MI, et al. Nonlinear dynamics of an electrically actuated imperfect microbeam resonator: experimental investigation and reduced-order modeling[J]. Journal of Micromechanics and Microengineering, 2013, 23(7): 075012.
[3] Mestrom R, Fey R, Van Beek J, et al. Modelling the dynamics of a MEMS resonator: Simulations and experiments[J]. Sensors and Actuators A: Physical, 2008, 142(1): 306-315.
[4] Mestrom R, Fey R, Phan K, et al. Experimental validation of hardening and softening resonances in a clamped-clamped beam MEMS resonator[J]. Procedia Chemistry, 2009, 1(1): 812-815.
[5] Mestrom R, Fey R, Phan K, et al. Simulations and experiments of hardening and softening resonances in a clamped–clamped beam MEMS resonator[J]. Sensors and Actuators A: Physical, 2010, 162(2): 225-234.
[6] Gologanu M, Bostan C G, Avramescu V, et al. Damping effects in MEMS resonators[C] //Semiconductor Conference (CAS), 2012 International. IEEE, 2012, 1: 67-76.
[7] Belardinelli P, Brocchini M, Demeio L, et al. Dynamical characteristics of an electrically actuated microbeam under the effects of squeeze-film and thermoelastic damping[J]. International Journal of Engineering Science, 2013, 69: 16-32.
[8] Feng C, Jiang L, Lau W M. Dynamic characteristics of a dielectric elastomer-based microbeam resonator with small vibration amplitude[J]. Journal of Micromechanics and Microengineering, 2011, 21(9): 095002.
[9] Wu G, Xu D, Xiong B, et al. Analysis of air damping in micromachined resonators[C] //Nano/Micro Engineered and Molecular Systems (NEMS), 2012 7th IEEE International Conference on. IEEE, 2012: 469-472.
[10] Nigro S, Pagnotta L, Pantano M F. A numerical approach for modeling squeeze-film damping in rigid microstructures including rarefaction effects[C] //Proceedings of the 11th WSEAS international conference on Instrumentation, Measurement, Circuits and Systems, and Proceedings of the 12th WSEAS international conference on Robotics, Control and Manufacturing Technology, and Proceedings of the 12th WSEAS international conference on Multimedia Systems & Signal Processing. World Scientific and Engineering Academy and Society (WSEAS), 2012: 37-42.
[11] Keyvani A, Sadeghi M H, Rezazadeh G, et al. Effects of squeeze film damping on a clamped-clamped beam MEMS filter[J]. Journal of Micro-Bio Robotics, 2013, 8(2): 83-90.
[12] Gualdino A, Chu V, Conde J P. Pressure effects on the dynamic properties of hydrogenated amorphous silicon disk resonators[J]. Journal of Micromechanics and Microengineering, 2012, 22(8): 085026.
[13] Zhang W M, Meng G. Nonlinear dynamic analysis of electrostatically actuated resonant MEMS sensors under parametric excitation[J]. Sensors Journal, IEEE, 2007, 7(3): 370-380.
[14] 张文明, 孟光, 周健斌, 等. 参数激励下静电驱动 MEMS 共振传感器的非线性动力特性研究[J]. 力学季刊, 2009, 30(1): 44-48.
    ZHANG Wen-ming, MENG Guang, ZHOU Jian-bin, et al.Nonlinear Dynamic Characteristics of Electrostatically Actuated MEMS Resonant Sensors under Parametric Excitation[J]. Chinese Quarterly of Mechanics, 2009, 30(1): 44-48.
[15] 史晓晶, 陈德勇, 王军波, 等. 一种新型微机械谐振式压力传感器研究[J]. 传感技术学报, 2009 (6): 790-793.
    SHI Xiao-jing, CHENG De-yong, WANG Jun-bo, et al. Research of a Novel Micromachined Resonant Pressure Sensor[J]. Chinese Journal of Sensors and Actuators,2009 (6):790-793.
[16] 王伟, 刘军洁. Z 轴微机械陀螺仪的空气阻尼分析[J]. 西安工业大学学报, 2010, 30(3): 219-223.
    Wang Wei, Liu Jun-jie. The Analysis of Z Axis Micromachined Gyroscope under Air Damping[J]. Journal of Xi'an Technological University, 2010, 30(3): 219-223.
 
PDF(1725 KB)

1093

Accesses

0

Citation

Detail

Sections
Recommended

/