Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope
- 1 July 1998
- journal article
- conference paper
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 84 (1) , 64-76
- https://doi.org/10.1063/1.368002
Abstract
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.This publication has 29 references indexed in Scilit:
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