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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
150 Friction-Induced Vibration and Self-Organization
Equations (6.104) and (6.105) are solved for p/g with the use of Equations
(6.106) and (6.107):
=
π
ε+ −ε −ε +
−α
π
ε+ −ε −ε
π
+
−α
+
π
+
−α
+
p
g
a
a
IIaI aI T IIaIaI
T
KJ J
T
Ka
JJ
a
1
2
2
()
12
2
()
1
2
12
2
1
2
12
2
1
ri
22
12
22
2
2
301
22
1
2
2
10
21
(6.106)
=−
ε+ −ε
−ε
−+
p
g
a
a
IIaIaI
JK aK J
1
ri22
01
22
1
2
2
01
(6.107)
where
=
−+
+
=
=
−+
+
=
−α −+α
−α −+α
I
ss s
as
ds m
I
ss s
as
ds m
(1 )(1)
(1 )
0,1, 2,3
(1 )(1)
1
0,1, 2
m
m
m
m
1
222
1
1
1
22
1
1
(6.108)
When combined together, Equations (6.106) and (6.107) constitute a quadratic
equation for ε that has two roots, ε
1
and ε
2
, such that their product is equal
to –1/a
2
. These two roots correspond to ...
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Publisher Resources

ISBN: 9781466504011