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Frequency response of cantilever beams immersed in viscous fluids near a solid surface with applications to the atomic force microscope

J. Appl. Phys. 98, 114913 (2005); doi:10.1063/1.2136418

Published 15 December 2005 | See: Erratum

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Christopher P. Green and John E. Sader
Department of Mathematics and Statistics, University of Melbourne, 3010, Victoria, Australia
Theoretical models for the frequency response of a cantilever beam immersed in a viscous fluid commonly assume that the fluid is unbounded. Experimental measurements show, however, that proximity to a surface can significantly affect the frequency response of a cantilever beam. In this article, we rigorously calculate the effect of a nearby surface on the frequency response of a cantilever beam immersed in a viscous fluid, and present a general theoretical model. Due to its practical relevance to applications of the atomic force microscope and microelectromechanical systems, detailed results are presented for cantilever beams with rectangular geometries executing flexural and torsional oscillations. It is found that dissipative loading in the fluid is primarily responsible for the observed variation in the frequency response, whereas inertial loading exerts a relatively weak influence. ©2005 American Institute of Physics
History: Received 20 June 2005; accepted 17 October 2005; published 15 December 2005
Permalink: http://link.aip.org/link/?JAPIAU/98/114913/1
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ERRATUM

  1. Erratum: "Frequency response of cantilever beams immersed in viscous fluids near a solid surface with applications to the atomic force microscope [J. Appl. Phys. 98, 114913 (2005)]
    Christopher P. Green et al.
    J. Appl. Phys. 100, 029901 (2006)

KEYWORDS and PACS

Keywords
PACS
  • 46.70.De
    Beams, plates, and shells (continuum mechanics)
  • 07.10.Cm
    Micromechanical devices and systems
  • YEAR: 2005

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PUBLICATION DATA

ISSN:
0021-8979 (print)   1089-7550 (online)
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AIP is a member of CrossRef AIP

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