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Friction-Induced Vibrations and Self-Organization
book

Friction-Induced Vibrations and Self-Organization

by Michael Nosonovsky, Vahid Mortazavi
August 2013
Intermediate to advanced content levelIntermediate to advanced
333 pages
11h 16m
English
CRC Press
Content preview from Friction-Induced Vibrations and Self-Organization
21Vibrations and Stability at the Bulk and at the Interface
=
π+
R
a
a
()
a
22
3
2
(2.37)
that has its minimum at
a /2
equal to
R
27
4
657.51
a
4
(2.38)
The result is interpreted in such a way that when the Rayleigh number
reaches the critical value, the steady-state solution becomes unstable and the
convection cells emerge. Note that the linear analysis of the small perturba-
tion does not provide the solution for the cells; however, it indicates the con-
dition under which the perturbations grow. These growing perturbations
eventually emerge into the cells, which constitute a non-linear solution.
The Benard cells problem possesses features typical for ma ...
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Publisher Resources

ISBN: 9781466504011