Accurate prediction of the vibration response of aircraft engine assemblies is of great importance when estimating both the performance and the lifetime of their individual components. In the case of underplatform dampers, for example, the motion at the frictional interfaces can lead to a highly nonlinear dynamic response and cause fretting wear at the contact. The latter will change the contact conditions of the interface and consequently impact the nonlinear dynamic response of the entire assembly. Accurate prediction of the nonlinear dynamic response over the lifetime of the assembly must include the impact of fretting wear. A multiscale approach that incorporates wear into the nonlinear dynamic analysis is proposed, and its viability is demonstrated for an underplatform damper system. The nonlinear dynamic response is calculated with a multiharmonic balance approach, and a newly developed semi-analytical contact solver is used to obtain the contact conditions at the blade–damper interface with high accuracy and low computational cost. The calculated contact conditions are used in combination with the energy wear approach to compute the fretting wear at the contact interface. The nonlinear dynamic model of the blade–damper system is then updated with the worn profile and its dynamic response is recomputed. A significant impact of fretting wear on the nonlinear dynamic behavior of the blade–damper system was observed, highlighting the sensitivity of the nonlinear dynamic response to changes at the contact interface. The computational speed and robustness of the adopted multiscale approach are demonstrated.

References

References
1.
Fouvry
,
S.
,
Duó
,
P.
, and
Perruchaut
,
P.
,
2004
, “
A Quantitative Approach of Ti-6Al-4V Fretting Damage: Friction, Wear and Crack Nucleation
,”
Wear
,
257
(
9–10
), pp.
916
929
.
2.
Paulin
,
C.
,
Fouvry
,
S.
, and
Deyber
,
S.
,
2005
, “
Wear Kinetics of Ti6Al4V Under Constant and Variable Fretting Sliding Conditions
,”
Wear
,
259
(
16
), pp.
292
299
.
3.
Põdra
,
P.
, and
Andersson
,
S.
,
1999
, “
Simulating Sliding Wear With Finite Element Method
,”
Tribol. Int.
,
32
(
2
), pp.
71
81
.
4.
McColl
, I
. R.
,
Ding
,
J.
, and
Leen
,
S. B.
,
2004
, “
Finite Element Simulation and Experimental Validation of Fretting Wear
,”
Wear
,
256
(
11–12
), pp.
1114
1127
.
5.
Gallego
,
L.
,
Nélias
,
D.
, and
Jacq
,
C.
,
2006
, “
A Comprehensive Method to Predict Wear and to Define the Optimum Geometry of Fretting Surfaces
,”
ASME J. Tribol.
,
128
(
3
), p.
476
.
6.
Archard
,
J. F.
,
1953
, “
Contact and Rubbing of Flat Surfaces
,”
J. Appl. Phys.
,
24
(
8
), p.
981
.
7.
Gallego
,
L.
,
Fulleringer
,
B.
,
Deyber
,
S.
, and
Nélias
,
D.
,
2010
, “
Multiscale Computation of Fretting Wear at the Blade/Disk Interface
,”
Tribol. Int.
,
43
(
4
), pp.
708
718
.
8.
Salles
,
L.
,
Blanc
,
L.
,
Thouverez
,
F.
,
Gouskov
,
A. M.
, and
Jean
,
P.
,
2010
, “
Multiscale Analysis of Fretting-Wear Under Dynamical Loading
,”
Méc. Ind.
,
11
(
3–4
), pp.
277
282
.
9.
Salles
,
L.
,
Blanc
,
L.
,
Thouverez
,
F.
, and
Gouskov
,
A. M.
,
2011
, “
Dynamic Analysis of Fretting-Wear in Friction Contact Interfaces
,”
Int. J. Solids Struct.
,
48
(
10
), pp.
1513
1524
.
10.
Petrov
,
E. P.
, and
Ewins
,
D. J.
,
2004
, “
Generic Friction Models for Time-Domain Vibration Analysis of Bladed Disks
,”
ASME J. Turbomach.
,
126
(
1
), p.
184
.
11.
Schwingshackl
,
C.
,
Petrov
,
E.
, and
Ewins
,
D.
,
2012
, “
Measured and Estimated Friction Interface Parameters in a Nonlinear Dynamic Analysis
,”
Mech. Syst. Signal Process.
,
28
, pp.
574
584
.
12.
Petrov
,
E. P.
, and
Ewins
,
D. J.
,
2003
, “
Analytical Formulation of Friction Interface Elements for Analysis of Nonlinear Multi-Harmonic Vibrations of Bladed Disks
,”
ASME J. Turbomach.
,
125
(
2
), p.
364
.
13.
Petrov
,
E. P.
, and
Ewins
,
D. J.
,
2004
, “
State-of-the-Art Dynamic Analysis for Non-Linear Gas Turbine Structures
,”
Proc. Inst. Mech. Eng. Part G
,
218
(
3
), pp.
199
211
.
14.
Petrov
,
E. P.
,
2011
, “
A High-Accuracy Model Reduction for Analysis of Nonlinear Vibrations in Structures With Contact Interfaces
,”
ASME J. Eng. Gas Turbines Power
,
133
(
10
), p.
102503
.
15.
Petrov
,
E. P.
, and
Ewins
,
D. J.
,
2007
, “
Advanced Modeling of Underplatform Friction Dampers for Analysis of Bladed Disk Vibration
,”
ASME J. Turbomach.
,
129
(
1
), p.
143
.
16.
Salles
,
L.
,
Blanc
,
L.
,
Thouverez
,
F.
,
Gouskov
,
A. M.
, and
Jean
,
P.
,
2012
. “
Dual Time Stepping Algorithms With the High Order Harmonic Balance Method for Contact Interfaces With Fretting-Wear
,”
ASME J. Eng. Gas Turbines Power
,
134
(
3
), p.
032503
.
17.
Armand
,
J.
,
Salles
,
L.
, and
Schwingshackl
,
C. W.
,
2015
, “
Numerical Simulation of Partial Slip Contact Using a Semi-Analytical Method
,”
ASME
Paper No. DETC2015-46464.
18.
Polonsky
,
I. A.
, and
Keer
,
L. M.
,
2000
, “
Fast Methods for Solving Rough Contact Problems: A Comparative Study
,”
ASME J. Tribol.
,
122
(
1
), p.
36
.
19.
Johnson
,
K. L.
,
1985
,
Contact Mechanics
,
Cambridge University Press
, West Nyack, NY, pp.
45
106
.
20.
Love
,
A. E. H.
,
1906
,
A Treatise on the Mathematical Theory of Elasticity
,
Dover, Mineola, NY
, pp.
180
200
, 217–235.
21.
Huq
,
M. Z.
, and
Celis
,
J.-P.
,
2002
, “
Expressing Wear Rate in Sliding Contacts Based on Dissipated Energy
,”
Wear
,
252
(
5–6
), pp.
375
383
.
22.
Fouvry
,
S.
,
Liskiewicz
,
T.
,
Kapsa
,
P.
,
Hannel
,
S.
, and
Sauger
,
E.
,
2003
, “
An Energy Description of Wear Mechanisms and Its Applications to Oscillating Sliding Contacts
,”
Wear
,
255
(
1–6
), pp.
287
298
.
23.
Ramalho
,
A.
, and
Miranda
,
J.
,
2006
, “
The Relationship Between Wear and Dissipated Energy in Sliding Systems
,”
Wear
,
260
(
4–5
), pp.
361
367
.
24.
Leonard
,
B. D.
,
2008
, “
An Experimental and Numerical Investigation of the Effect of Coatings and Third Body on Fretting Wear
,” Ph.D. thesis, Purdue University, Lafayette, IN.
25.
Pesaresi
,
L.
,
Schwingshackl
,
C. W.
,
Salles
,
L.
,
Elliot
,
R.
,
Jones
,
A.
, and
Green
,
J. S.
,
2015
, “
Numerical and Experimental Investigation of an Underplatform Damper Test Rig
,”
Appl. Mech. Mater.
,
849
, pp.
1
12
.
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