An effective method for direct parametric analysis of periodic nonlinear forced response of bladed disks with friction contact interfaces has been developed. The method allows, forced response levels to be calculated directly as a function of contact interface parameters such as the friction coefficient, contact surface stiffness (normal and tangential coefficients), clearances, interferences, and the normal stresses at the contact interfaces. The method is based on exact expressions for sensitivities of the multiharmonic interaction forces with respect to variation of all parameters of the friction contact interfaces. These novel expressions are derived in the paper for a friction contact model, accounting for the normal load variation and the possibility of separation-contact transitions. Numerical analysis of effects of the contact parameters on forced response levels has been performed using large-scale finite element models of a practical bladed turbine disk with underplatform dampers and with shroud contacts.

Issue Section:
Technical Papers
Keywords:
friction, hardness, finite element analysis, turbines, damping
Topics:
Disks, Friction, Stiffness, Stress, Dampers
1.
Cardona
,
A.
,
Coune
,
T.
,
Lerusse
,
A.
, and
Geradin
,
M.
,
1994
, “
A Multiharmonic Method for Non-Linear Vibration Analysis
,”
Int. J. Numer. Methods Eng.
,
37
, pp.
1593
–
1608
.
2.
Griffin, J. H., and Labelle R. F., 1996, “A Rational Method for Optimizing Shroud Damping,” ASME Paper 96-GT-402.
3.
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
.
4.
Yang
,
B.-D.
, and
Menq
,
C.-H.
,
1997
, “
Modelling of Friction Contact and Its Application to the Design of Shroud Contact
,”
ASME J. Eng. Gas Turbines Power
,
119
, pp.
958
–
963
.
5.
Szwedowicz, J., Sextro, W., Visser, R., and Masserey, P., 2003, “On Forced Vibration of Shrouded Turbine Blades,” ASME Paper GT-2003-38808.
6.
Sanliturk
,
K. Y.
,
Ewins
,
D. J.
, and
Stanbridge
,
A. B.
,
2003
, “
Underplatform Dampers for Turbine Blades: Theoretical Modeling, Analysis, and Comparison With Experimental Data
,”
ASME J. Eng. Gas Turbines Power
,
123
, pp.
919
–
929
.
7.
Pierre
,
C.
,
Ferri
,
A. A.
, and
Dowell
,
E. H.
,
1985
, “
Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method
,”
ASME J. Appl. Mech.
,
52
, pp.
958
–
964
.
8.
Cameron
,
T.
, and
Griffin
,
J.
,
1989
, “
An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems
,”
ASME J. Appl. Mech.
,
56
, pp.
149
–
154
.
9.
Nacivet
,
S.
,
Pierre
,
C.
,
Thouverez
,
F.
, and
Jezequel
,
L.
,
2003
, “
A Dynamic Lagrangian Frequency—Time Method for the Vibration of Dry-Friction-Damped Systems
,”
J. Sound Vib.
,
265
, pp.
201
–
219
.
10.
Wang
,
J. H.
, and
Chen
,
W. K.
,
1993
, “
Investigation of the Vibration of a Blade With Friction Damper by HBM
,”
ASME J. Eng. Gas Turbines Power
,
115
, pp.
294
–
299
.
11.
Berthillier
,
M.
,
Dupont
,
C.
,
Mondal
,
R.
, and
Barrau
,
R. R.
,
1998
, “
Blades Forced Response Analysis With Friction Dampers
,”
ASME J. Vibr. Acoust.
,
120
, pp.
468
–
474
.
12.
Chen, J. J., and Menq, C. H., 1999, “Prediction of Periodic Response of Blades Having 3D Nonlinear Shroud Constraints,” ASME Paper 99-GT-289.
13.
Petrov
,
E. P.
, and
Ewins
,
D. J.
,
2003
, “
Analytical Formulation of Friction Interface Elements for Analysis of Nonlinear Multi-Harmonic Vibrations of Bladed Discs
,”
ASME J. Turbomach.
,
125, April
, pp.
364
–
371
.
14.
Petrov
,
E. P.
,
2004
, “
A Method for Use of Cyclic Symmetry Properties in Analysis of Nonlinear Multiharmonic Vibrations of Bladed Discs
,”
ASME J. Turbomach.
,
126, January
, pp.
175
–
183
.
15.
Griffin
,
J. H.
,
1990
, “
A Review of Friction Damping of Turbine Blade Vibration
,”
International J. of Turbo and Jet Engines
,
(7
), pp.
297
–
307
.
16.
Riks
,
E.
,
1979
, “
An Incremental Approach to the Solution of the Snapping and Buckling Problems
,”
Int. J. Solids Struct.
,
15
, pp.
529
–
551
.
17.
Crisfield
,
M.
,
1981
, “
A Fast Incremental/Iterative Solution Procedure That Handles Snap-Through
,”
Comput. Struct.
,
13
, pp.
55
–
62
.
18.
Fried
,
I.
,
1984
, “
Orthogonal Trajectory Accession to the Nonlinear Equilibrium Curve
,”
Comput. Methods Appl. Mech. Eng.
,
47
, pp.
283
–
297
.
19.
Petrov, E. P., and Ewins, D. J., 2004, “Method for Analysis of Nonlinear Multiharmonic Vibration of Bladed Discs Mistuned by Scatters in Characteristics of Friction Contact Interfaces and Blades,” ASME Paper GT2004-53891.
Copyright © 2004
 by ASME
You do not currently have access to this content.