Skip to Main Content
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
115Friction-Induced Instabilities and Vibrations
Note that the force T = Rcosϕ is the compression force in the link. Equations
(6.29) and (6.30) form a system for the unknown

x
and R. In order to solve
the system, one should assume the value of
sign x()
. However, if μtan(φ) > 2,
then two solutions exists for
>x 0
:

=
±µ
±µ
mx
P(1 ta n( ))
2tan()
(6.31)
and no solution exists for
<x 0
.
The Painleve paradoxes indicate that the Coulomb friction is not always
compatible with the rest of the equations of mechanics. However, there is
an interesting relationship between the Painlevé paradoxes and the friction-
induced instabilities. If an elastical ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Supercritical Fluids and Organometallic Compounds

Supercritical Fluids and Organometallic Compounds

Can Erkey
Environanotechnology

Environanotechnology

Maohong Fan, C.P. Huang, Alan E. Bland, Zhonglin Wang, Rachid Slimane, Ian G. Wright
Biomaterials

Biomaterials

Brian J. Love

Publisher Resources

ISBN: 9781466504011