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
155Friction-Induced Instabilities and Vibrations
for the lower body, where m = 1 for a mode with a period of 2π and m = 2 for
an anti-symmetric mode v(x + 2π,y) = –v(x,y) with a period of 4π. The terms
that represent the translation of the system as a rigid body can be set to zero,
(A
0
= 0 and B
0
= 0), without loss of generality. Note that the subscript k has
been omitted for conciseness.
In order to satisfy the Navier equation (6.113)—s
1
and s
2
in Equation
(6.126)—the latter must be roots of the characteristic equation
β+ β+ +
β−
+=
sQ Q
n
m
sQQ(1
)0
1
24
11
2
2
2
1
22
12
(6.128)
The solution of Equation (6.128) is
−=±− βsQ
sQ,/
12
21
1
2
(6.129) ...
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