Resonant Characteristics of Rectangular Microcantilevers Vibrating Torsionally in Viscous Liquid Media

Authors

Tao Cai, Marquette UniversityFollow
Fabien Josse, Marquette UniversityFollow
Isabelle Dufour, Université de BordeauxFollow
Stephen M. Heinrich, Marquette UniversityFollow
Nicholas J. Nigro, Marquette UniversityFollow
Oliver Brand, Georgia Institute of Technology - Main CampusFollow

Document Type

Conference Proceeding

Language

eng

Format of Original

6 p.

Publication Date

5-2012

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Source Publication

2012 IEEE International Frequency Control Symposium

Source ISSN

978-1-4577-1821-2

Original Item ID

doi: 10.1109/FCS.2012.6243700

Abstract

The resonant characteristics of rectangular microcantilevers vibrating in the torsional mode in viscous liquid media are investigated. The hydrodynamic load (torque per unit length) on the vibrating beam due to the liquid was first determined using a finite element model. An analytical expression of the hydrodynamic function in terms of the Reynolds number and aspect ratio, h/b (with thickness, h, and width, b) was then obtained by fitting the numerical results. This allowed for the resonance frequency and quality factor to be investigated as functions of both beam geometry and medium properties. Moreover, the effects of the aspect ratio on the cross-section's torsional constant, K, which affects the microcantilever's torsional stiffness, and on its polar moment of inertia, J_p, which is associated with the beam's rotational inertia, are also considered when obtaining the resonance frequency and quality factor. Compared with microcantilevers under out-of-plane (transverse) flexural vibration, the results show that microcantilevers that vibrate in their 1^st torsional or 1^st in-plane (lateral) flexural resonant modes have higher resonance frequency and quality factor. The increase in resonance frequency and quality factor results in higher mass sensitivity and reduced frequency noise, respectively. The improvement in the sensitivity and quality factor are expected to yield much lower limits of detection in liquid-phase chemical sensing applications.

Comments

Accepted Version Published as part of the proceedings of the conference, 2012 IEEE International Frequency Control Symposium, 2012: 1-6. DOI. © 2012 Institute of Electrical and Electronics Engineers (IEEE). Used with permission

Recommended Citation

Cai, Tao; Josse, Fabien; Dufour, Isabelle; Heinrich, Stephen M.; Nigro, Nicholas J.; and Brand, Oliver, "Resonant Characteristics of Rectangular Microcantilevers Vibrating Torsionally in Viscous Liquid Media" (2012). Civil and Environmental Engineering Faculty Research and Publications. 50.
https://epublications.marquette.edu/civengin_fac/50