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27
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85034486025
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note
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This is directly applicable to cantilever beams of small dimensions, such as those encountered in the atomic force microscope.
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28
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77952760920
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34
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85034467632
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note
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This condition can be satisfied even for beams with salient edges, since in practice the radius of curvature of such edges is never zero.
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36
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0004272729
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Cambridge University Press, Cambridge, UK
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Batchelor, G.K.1
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37
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85034479653
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note
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The convention adopted for the Reynolds number is in line with Ref. 36. We point out that the Reynolds number is often associated with the nonlinear convective inertial term of the Navier Stokes equation. This latter convention has not been adopted here.
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40
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85034477519
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note
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For consistency with Eq. (6), the oscillations have a time dependence given by exp(-iωt), corresponding to a forward traveling wave.
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