Hostname: page-component-5c6d5d7d68-pkt8n Total loading time: 0 Render date: 2024-08-11T05:14:40.223Z Has data issue: false hasContentIssue false

Frequency Response of Microcantilevers in Viscous Fluids

Published online by Cambridge University Press:  01 February 2011

A. M. Schilowitz
Affiliation:
ExxonMobil Research and Eng. Co., Annandale, NJ
D. G. Yablon
Affiliation:
ExxonMobil Research and Eng. Co., Annandale, NJ
F. Zypman
Affiliation:
Yeshiva University, NY, NY
Get access

Abstract

This paper presents a new, general reconstruction algorithm that enables modeling of the experimental resonance spectrum of a prismatic microcantilever in a viscous fluid. A closed-form solution is obtained for the microcantilever frequency response from the equation of motion with fluid damping and internal friction terms, which allows direct calculation of the fluid damping and internal friction damping constants. In principle, the fluid damping constant has a simple relationship to viscosity thus potentially simplifying the process of obtaining viscosity from experimental data. Finally, the model is compared to experimental data.

Type
Research Article
Copyright
Copyright © Materials Research Society 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1 Sader, J.E., J. Appl. Phys. 84, 64 (1998).Google Scholar
2 Chen, G.Y., Warmack, R.J., Thundat, T. and Allison, D.P., Rev. Sci. Instrum. 65, 2532 (1994).Google Scholar
3 Oden, P.I., Chen, G.Y., Steele, R. A., Warmack, R.J. and Thundat, T., Appl. Phys. Lett. 68, 3814 (1996).Google Scholar
4 Boskovic, S., Chon, J.W.M., Mulvaney, P. and Sader, J.E., J. Rheol. 46, 891 (2002).Google Scholar
5 Zener, C., Elasticity and Anelasticity of Metals (University of Chicago Press, Chicago, 1948).Google Scholar
6 Albrecht, T.R., Akamine, S., Carver, T.E. and Quate, C.F., J. Vac. Sci. Technol. 8, 3386 (1990).Google Scholar