New efficient models have been developed to describe dynamic friction effects in order to facilitate analysis of the vibration of bladed disks in the time domain. These friction models describe friction forces occurring at contact interfaces under time-varying normal load variations, including cases of separation. The friction models developed allow one to take into account time-varying friction contact parameters, such as friction coefficient and contact stiffness coefficients. Anisotropy and variation of the friction characteristics over the contact surfaces are included in the proposed models. The capabilities of the new friction models are demonstrated. Analysis of the friction forces is performed for different motion trajectories and different time variations of the normal load, and the effects of anisotropy, variation in time of the friction characteristics and normal load variation are discussed. A numerical analysis of transient vibrations of shrouded blades using the new models is presented.

1.
Dahl
,
P. R.
,
1976
, “
Solid Friction Damping of Mechanical Vibrations
,”
AIAA J.
,
14
(
12
), pp.
1675
1682
.
2.
Gaul
,
L.
, and
Lenz
,
J.
,
1997
, “
Nonlinear Dynamics of Structures Assembled by Joints
,”
Acta Mech.
,
125
, pp.
169
181
.
3.
de Wit
,
C. C.
,
Olsson
,
H.
,
Astrom
,
K. J.
, and
Lischinsky
,
P.
,
1995
, “
A New Model for Control of Systems With Friction
,”
IEEE Trans. Autom. Control
,
40
(
3
), pp.
419
425
.
4.
Armstrong-Helouvry
,
B.
,
Dupont
,
P.
, and
de Wit
,
C. C.
,
1994
, A
Survey of Models, Analysis Tools and Compensation Methods for the Control of Machines With Friction
,”
Automatica
,
30
, pp.
1083
1138
.
5.
Ibrahim
,
R. A.
,
1994
, “
Friction-Induced Vibration, Chatter, Squeal, and Chaos
,”
Appl. Mech. Rev.
,
47
, “Part I: Mechanics of Contact and Friction,” pp. 209–226, “Part II: Dynamic and Modeling,” pp.
227
253
.
6.
Griffin, J. H., 1990, “A Review of Friction Damping of Turbine Blade Vibration,” Int. J. Turbo Jet Engines, (7), pp. 297–307.
7.
Sanliturk
,
K. Y.
,
Imregun
,
M.
, and
Ewins
,
D. J.
,
1997
, “
Harmonic Balance Vibration Analysis of Turbine Blades With Friction Dampers
,”
ASME J. Vibr. Acoust.
,
119
, pp.
96
103
.
8.
Sextro, W., 1996, “The Calculation of the Forced Response of Shrouded Blades With Friction Contacts and Its Experimental Verification,” Proc. of 2nd European Nonlinear Oscillation Conference, Prague, Sept. 9–13.
9.
Yang
,
B. D.
,
Chu
,
M. I.
, and
Menq
,
C. H.
,
1998
, “
Stick-Slip-Separation Analysis and Non-linear Stiffness and Damping Characterization of Friction Contacts Having Variable Normal Load
,”
J. Sound Vib.
,
210
(
4
), pp.
461
481
.
10.
Petrov
,
E.
, and
Ewins
,
D.
,
2004
, “
Analytical Formulation of Friction Interface Elements for Analysis of Nonlinear Multiharmonic Vibrations of Bladed Disks
,”
ASME J. Turbomach.
,
126
, pp.
364
371
.
11.
Yang
,
B. D.
, and
Menq
,
C. H.
,
1998
, “
Characterization of 3D Contact Kinematics and Prediction of Resonant Response of Structures Having 3D Frictional Constraint
,”
J. Sound Vib.
,
217
(
5
), pp.
909
925
.
12.
Tabor
,
D.
,
1981
, “
Friction—The Present State of Our Understanding
,”
ASME J. Lubr. Technol.
,
103
, pp.
169
179
.
13.
Tworzydlo
,
W. W.
,
Cecot
,
W.
,
Oden
,
J. T.
, and
Yew
,
C. H.
,
1998
, “
Computational Micro- and Macroscopic Models of Contact and Friction: Formulation, Approach and Applications
,”
Wear
,
220
, pp.
113
140
.
14.
Mostanghel
,
N.
, and
Davis
,
T.
,
1997
, “
Representations of Coulomb Friction for Dynamic Analysis
,”
Earthquake Eng. Struct. Dyn.
,
26
, pp.
541
548
.
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