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

@article{Sader1998FrequencyRO, title={Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope}, author={John Elie Sader}, journal={Journal of Applied Physics}, year={1998}, volume={84}, pages={64-76} }

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…

## 1,257 Citations

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