Intrinsic dissipation in cantilevers
G.P. Berman, A.A. Chumak
TL;DR
This paper investigates how velocity-independent friction causes nonlinear damping effects in cantilever vibrations, explaining experimental observations of amplitude-dependent frequency shifts and dissipation at small amplitudes.
Contribution
It introduces a model for nonlinear dissipation in cantilevers due to velocity-independent friction, clarifying experimental phenomena.
Findings
Nonlinear effects increase as cantilever velocity decreases.
Amplitude dependence of eigenfrequency observed at small amplitudes.
Dissipation mechanisms are linked to velocity-independent friction.
Abstract
We consider the effects of a velocity-independent friction force on cantilever damping. It is shown that this dissipation mechanism causes nonlinear effects in the cantilever vibrations. The size of the nonlinearity increases with decreasing cantilever velocity. Our analysis makes it possible to understand experiments [Stipe et al, PRL 87, 096801 (2001)] where an amplitude dependence of the cantilever eigenfrequency and anomalous dissipation was observed only at small amplitudes.
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Taxonomy
TopicsMechanical and Optical Resonators · Force Microscopy Techniques and Applications · Geophysics and Sensor Technology