Dynamics of self-driven microcantilevers

A. Passian; G. Muralidharan; S. Kouchekian; A. Mehta; S. Cherian; T. L. Ferrell; T. Thundat

doi:10.1063/1.1452771

Dynamics of self-driven microcantilevers

A. Passian, G. Muralidharan, S. Kouchekian, A. Mehta, S. Cherian, T. L. Ferrell, T. Thundat

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

The small amplitude thermal vibrations of the microcantilever of an atomic force microscope can be enhanced via a delayed feedback system. This is verified experimentally for a triangular cantilever, and modeled theoretically as a boundary value problem resulting in a second order functional differential equation for the temporal behavior of the cantilever. The eigenvalues of the resulting delay differential equation describing the transverse vibrations of the cantilever are calculated and analyzed. These values are compared with the corresponding resonant frequencies predicted by a point mass model and with the experimentally observed values.

Original language	English
Pages (from-to)	4693-4700
Number of pages	8
Journal	Journal of Applied Physics
Volume	91
Issue number	7
DOIs	https://doi.org/10.1063/1.1452771
State	Published - Apr 1 2002

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AU - Ferrell, T. L.

AU - Thundat, T.

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AB - The small amplitude thermal vibrations of the microcantilever of an atomic force microscope can be enhanced via a delayed feedback system. This is verified experimentally for a triangular cantilever, and modeled theoretically as a boundary value problem resulting in a second order functional differential equation for the temporal behavior of the cantilever. The eigenvalues of the resulting delay differential equation describing the transverse vibrations of the cantilever are calculated and analyzed. These values are compared with the corresponding resonant frequencies predicted by a point mass model and with the experimentally observed values.

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Dynamics of self-driven microcantilevers

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