The coupled vibrations of microcantilevers induced by airflow were analyzed to facilitate the development of high-speed information and sensing devices that use microactuator arrays. Simple formulas, from which the vibrational coupling amplitude and damping ratio can be obtained, are derived by replacing the cantilevers with strings of spheres, solving Stokes equation, and combining this with an ordinary beam equation. The coupling amplitude was found to increase as the beam size, beam gap, internal friction, and the difference in the resonant frequencies of the beams decreased and the damping ratio increased as the beam size was reduced. The validity of the theory is verified with actual-size and enlarged model experiments.
Issue Section:
Technical Papers
1.
Ohkubo
, T.
, Kishigami
, J.
, Yanagisawa
, K.
, and Kaneko
, R.
, 1991
, “Submicron Magnetizing and Its Detection Based on Point Magnetic Recording Concept
,” IEEE Trans. Magn.
, 27
, pp. 5286
–5288
.2.
Itoh
, T.
, Azumi
, R.
, and Suga
, T.
, 1997
, “Piezoelectric Microcantilever Array for Multiprobe Scanning Force Microscopy
,” IEICE Trans. Electron.
, E80-C
, pp. 269
–273
.3.
Sampsell, J. B., 1993, “The Digital Micromirror Device and Its Application to Projection Displays,” Proc. 7th Int. Conf. Solid-State Sensors and Actuators, Yokohama, pp. 24–27.
4.
Hosaka, H., Kuwano, H., and Yanagisawa, K., 1993, “Electromagnetic Microrelays: Concepts and Fundamental Characteristics,” Proc. IEEE MEMS Workshop, Fort Lauderdale, pp. 12–17.
5.
Blom
, F. R.
, Bouwstra
, S.
, Elwenspoek
, M.
, and Fluitman
, J. H. J.
, 1992
, “Dependence of the Quality Factor of Micromachined Silicon Beam Resonators on Pressure and Geometry
,” J. Vac. Sci. Technol. B
, B10
, pp. 19
–26
.6.
Terasawa
, T.
, Kawamura
, Y.
, Sato
, K.
, and Tanaka
, S.
, 1988
, “Pressure Dependent Dynamic Characteristics of Miniature Silicon Oscillator
,” Bull. JSME
, 22
, pp. 49
–54
.7.
Kokubun
, K.
, Murakami
, H.
, Toda
, Y.
, and Ono
, M.
, 1984
, “A Bending and Stretching Mode Crystal Oscillator as Friction Vacuum Gauge
,” Vacuum
, 34
, pp. 731
–735
.8.
Hosaka
, H.
, and Itao
, K.
, 1999
, “Theoretical and Experimental Study on Airflow Damping of Vibrating Microcantilevers
,” ASME J. Vibr. Acoust.
, 121
, pp. 64
–69
.9.
Lamb, H., 1945, Hydrodynamics, 6th edition, Dover Publications, New York, p. 605.
10.
Landau, L. D., and Lifshits, E. M., 1959, Fluid Mechanics, Pergamon Press, London, p. 95.
Copyright © 2002
by ASME
You do not currently have access to this content.