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

J. Appl. Phys. 84, 64 (1998); doi:10.1063/1.368002

Issue Date: 1 July 1998

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John Elie Sader
Department of Mathematics and Statistics, University of Melbourne, Parkville, 3052, Victoria, Australia
The vibrational characteristics of a cantilever beam are well known to strongly depend on the fluid in which the beam is immersed. In this paper, we present a detailed theoretical analysis of the frequency response of a cantilever beam, that is immersed in a viscous fluid and excited by an arbitrary driving force. Due to its practical importance in application to the atomic force microscope (AFM), we consider in detail the special case of a cantilever beam that is excited by a thermal driving force. This will incorporate the presentation of explicit analytical formulae and numerical results, which will be of value to the users and designers of AFM cantilever beams. ©1998 American Institute of Physics.
History: Received 30 December 1997; accepted 30 March 1998
Permalink: http://link.aip.org/link/?JAPIAU/84/64/1
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KEYWORDS and PACS

Keywords
PACS
  • 07.79.Lh
    Instruments, apparatus, components, and techniques common to several branches of physics and astronomy Scanning probe microscopes, components, and techniques Atomic force microscopes
  • 61.16.Ch
    Structure of solids and liquids; crystallography Electron, ion, and scanning probe microscopy Scanning probe microscopy: scanning tunneling, atomic force, scanning optical, magnetic force, etc.
  • YEAR: 1998

PUBLICATION DATA

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

REFERENCES (43)
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