Journal ArticleDOI
Small amplitude oscillations of a thin beam immersed in a viscous fluid near a solid surface
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In this article, the hydrodynamic load on an infinitely long rigid beam of zero thickness that is undergoing small amplitude oscillations is calculated for the presence of a solid surface an arbitrary distance from the beam.Abstract:
The hydrodynamic loading on a solid body moving in a viscous fluid can be strongly affected by its proximity to a surface. In this article, we calculate the hydrodynamic load on an infinitely long rigid beam of zero thickness that is undergoing small amplitude oscillations. The presence of a solid surface an arbitrary distance from the beam is rigorously accounted for using a boundary integral formulation.read more
Citations
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Journal ArticleDOI
Spring constant calibration of atomic force microscope cantilevers of arbitrary shape
John E. Sader,Julian A. Sanelli,Brian D. Adamson,Jason Monty,Xingzhan Wei,Simon Crawford,James Friend,Ivan Marusic,Paul Mulvaney,Evan J. Bieske +9 more
TL;DR: Hydrodynamic functions for a series of irregular and non-rectangular atomic force microscope cantilevers that are commonly used in practice are presented and are expected to be of particular value to the design and application of micro- and nanomechanical systems in general.
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Hydrodynamic loading of microcantilevers vibrating in viscous fluids
TL;DR: In this paper, the hydrodynamic loading of elastic microcantilevers vibrating in viscous fluids is analyzed computationally using a three-dimensional, finite element fluid-structure interaction model.
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Cantilever dynamics in atomic force microscopy
TL;DR: In this paper, the authors summarize recent research developments on cantilever dynamics in the atomic force microscope and provide exciting possibilities for achieving improved material contrast with gentle imaging forces in the next generation of instruments.
Journal ArticleDOI
Frequency response of cantilever beams immersed in viscous fluids near a solid surface with applications to the atomic force microscope
TL;DR: In this paper, the effect of a nearby surface on the frequency response of a cantilever beam immersed in a viscous fluid was investigated, and it was found that dissipative loading in the fluid is primarily responsible for the observed variation in frequency response, whereas inertial loading exerts relatively weak influence.
Journal ArticleDOI
Comparative dynamics of magnetically, acoustically, and Brownian motion driven microcantilevers in liquids
Xin Xu,Arvind Raman +1 more
TL;DR: In this article, the amplitude and phase response of magnetically, acoustically, and thermally excited cantilevers in liquids is investigated and quantitatively the unsteady structure-borne and fluid-borne excitation forces acting on the acoustally excited AFM cantilever are estimated.
References
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Handbook of Mathematical Functions
Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book
An Introduction to Fluid Dynamics
TL;DR: The dynamique des : fluides Reference Record created on 2005-11-18 is updated on 2016-08-08 and shows improvements in the quality of the data over the past decade.