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

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...

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Bibliographic Details
Published in:Journal of applied physics 1998-07, Vol.84 (1), p.64-76
Main Author: Sader, John Elie
Format: Article
Language:English
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Summary: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.
ISSN:0021-8979
1089-7550
DOI:10.1063/1.368002