This paper discusses an approach for characterizing the dynamic behavior of a friction damper. To accomplish this, the deflection of the damper is measured as a function of an applied force for a range of amplitudes, normal loads, and excitation frequencies. The resulting hysteresis curves are used to generate curves of nonlinear stiffness and damping as a function of the amplitude of motion. A method of presenting this information in a dimensionless format is demonstrated. This format allows direct comparisons of the nonlinear stiffness and damping of actual dampers with that often used in analytical models to compute the dynamic response of frictionally damped turbine blades. It is shown that for the case of a damper with a spherical head significant differences exist between the actual behavior of the damper and that often assumed in simple analytical models. In addition, Mindlin’s analysis of a sphere on a half space is used to estimate the damper’s stiffness as well as its theoretical hysteresis curves. The hysteresis curves are then used to determine dimensionless stiffness and damping curves. The results compare favorably with those found experimentally.
Issue Section:
Gas Turbines: Structures and Dynamics
1.
Feeny
, B. F.
, Guran
, A.
, Hinrichs
, N.
, and Popp
, K.
, 1998, “A Historical Review of Dry Friction and Stick–Slip Phenomena
,” Appl. Mech. Rev.
0003-6900, 51
(5
), pp. 321
–341
.2.
Gaul
, L.
, and Nitsche
, R.
, 2001, “The Role of Friction in Mechanical Joints
,” Appl. Mech. Rev.
0003-6900, 54
(2
), pp. 93
–106
.3.
Griffin
, J. H.
, 1990, “A Review of Friction Damping of Turbine Blade Vibration
,” International Journal of Turbo and Jet Engines
, 7
, pp. 297
–307
.4.
Yang
, B. D.
, and Menq
, C. H.
, 1997, “Modeling of Friction Contact and Its Application to the Design of Shroud Contact
,” ASME J. Eng. Gas Turbines Power
0742-4795, 119
(4
), pp. 958
–963
.5.
Yang
, B. D.
, and Menq
, C. H.
, 1998, “Characterization of Contact Kinematics and Application to the Design of Wedge Dampers in Turbomachinery Blading, Part I: Stick-slip Contact Kinematics
,” ASME J. Eng. Gas Turbines Power
0742-4795, 120
(2
), pp. 410
–417
.6.
Yang
, B. D.
, and Menq
, C. H.
, 1998, “Characterization of Contact Kinematics and Application to the Design of Wedge Dampers in Turbomachinery Blading, Part II: Prediction of Forced Response and Experimental Verification
,” ASME J. Eng. Gas Turbines Power
0742-4795, 120
(2
), pp. 418
–423
.7.
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.
0022-460X, 217
(5
), pp. 909
–925
.8.
Sanliturk
, K. Y.
, Ewins
, D. J.
, and Stanbridge
, A. B.
, 2001, “Underplatform Dampers for Turbine Blades: Theoretical Modeling, Analysis and Comparison With Experimental Data
,” ASME J. Eng. Gas Turbines Power
0742-4795, 123
, pp. 919
–929
.9.
Petrov
, E. P.
, and Ewins
, D. J.
, 2003, “Analytical Formulation of Friction Interface Elements for Analysis on Nonlinear Multi-Harmonic Vibrations of Bladed Discs
,” ASME J. Turbomach.
0889-504X, 125
, pp. 364
–371
.10.
Petrov
, E. P.
, and Ewins
, D. J.
, 2003, “Generic Friction Models for Time-domain Vibration Analysis of Bladed Discs
,” Proceedings of ASME Turbo Expo 2003
, Atlanta, Georgia, GT-2003-38475.11.
Szwedowicz
, J.
, Kissel
, M.
, Ravindra
, B.
, and Kellerer
, R.
, 2001, “Estimation of Contact Stiffness and its Role in the Design of a Friction Damper
,” Proceedings of ASME Turbo Expo
, 2001-GT-0290.12.
Cha
, D.
, and Sinha
, A.
, 1999, “Computation of the Optimal Normal Load of a Friction Damper Under Different Types of Excitation
,” ASME International Gas Turbine Conference
, Indianapolis, IN, ASME 99-GT-413.13.
Cha
, D.
, and Sinha
, A.
, 2000, “Statistics of Responses of a Mistuned and Frictionally Damped Bladed Disk Assembly Subjected to White Noise and Narrow Band Excitations
,” ASME International Gas Turbine Conference
, Munich, Germany, ASME 2000-GT-542.14.
Csaba
, G.
, 1999, “Modeling of a Microslip Friction Damper Subjected to Translation and Rotation
,” ASME International Gas Turbine Conference
, Indianapolis, IN, ASME 99-GT-149.15.
Sextro
, W.
, Popp
, K.
, and Wolter
, I.
, 1997, “Improved Reliability of Bladed Disks Due to Friction Dampers
,” ASME International Gas Turbine Conference
, ASME 97-GT-189.16.
Griffin
, J. H.
, 1980, “Friction Damping of Resonant Stresses in Gas Turbine Engine Airfoils
,” ASME J. Eng. Power
0022-0825, 102
, pp. 329
–333
.17.
Menq
, C. H.
, Griffin
, J. H.
, and Bielak
, J.
, 1986, “The Influence of a Variable Normal Load on the Forced Vibration of a Frictionally Damped Structure
,” ASME J. Eng. Gas Turbines Power
0742-4795, 108
, pp. 300
–305
.18.
Yang
, B. D.
, Chu
, M. L.
, and Menq
, C. H.
, 1998, “Stick–slip–separation Analysis and Nonlinear Stiffness and Damping Characterization of Friction Contacts Having Variable Normal Load
,” J. Sound Vib.
0022-460X, 210
(4
), pp. 461
–481
.19.
Menq
, C. H.
, Chidamparam
, P.
, and Griffin
, J. H.
, 1991, “Friction Damping of Two-dimensional Motion and Its Application in Vibration Control
,” J. Sound Vib.
0022-460X, 144
, pp. 427
–447
.20.
Menq
, C. H.
, and Yang
, B. D.
, 1998, “Nonlinear Spring Resistance and Friction Damping of Frictional Constraint Having Two-Dimensional Motion
,” J. Sound Vib.
0022-460X, 217
(1
), pp. 127
–143
.21.
Ewins
, D. J.
, and Griffin
, J. H.
, 2001, “Workshop on the Modeling, Analysis, and Measurement of Friction Constraints in Gas Turbine Components
,” Final Report submitted to USAF, AFRL, AFOSR/NA, Award Number F49620-01-1-0325.22.
Mindlin
, R. D.
, 1949, “Compliance of Elastic Bodies in Contact
,” ASME J. Appl. Mech.
0021-8936, 16
, pp. 259
–268
.23.
Mindlin
, R. D.
, and Deresiewicz
, H.
, 1953, “Elastic Spheres in Contact Under Varying Oblique Forces
,” ASME J. Appl. Mech.
0021-8936, 20
, pp. 327
–343
.24.
Deresiewicz
, H.
, 1957, “Oblique Contact of Non-Spherical Bodies
,” ASME J. Appl. Mech.
0021-8936, 24
, pp. 623
.25.
Mindlin
, R. D.
, Mason
, W. P.
, Osmer
, T. F.
, and Deresiewicz
, H.
, 1952, “Effects of an Oscillating Tangential Force on the Contact Surfaces of Elastic Spheres
,” Proceedings of the First U.S. National Congress of Applied Mechanics
, pp. 203
–208
.26.
Johnson
, K. L.
, 1955, “Surface Interaction Between Elastically Loaded Bodies Under Tangential Forces
,” Proc. R. Soc. London, Ser. A
1364-5021, A230
, pp. 531
–549
.27.
Goodman
, L. E.
, and Brown
, C. B.
, 1962, “Energy Dissipation in Contact Friction: Constant Normal and Cyclic Tangential Loading
,” ASME J. Appl. Mech.
0021-8936, 29
, pp. 17
–22
.28.
Den Hartog
, J. P.
, 1931, “Forced Vibrations With Combined Coulomb and Viscous Friction
,” Trans. ASME
0097-6822, 53
, pp. 107
–115
.29.
Caughey
, T. K.
, 1960, “Sinusoidal Excitation of a System With Bilinear Hysteresis
,” ASME J. Appl. Mech.
0021-8936, 27
, pp. 640
–643
.30.
Gaul
, L.
, 1983, “Wave Transmission and Energy Dissipation at Structural and Machine Joints
,” ASME J. Vib., Acoust., Stress, Reliab. Des.
0739-3717, 105
, pp. 489
–496
.31.
Menq
, C. H.
, and Griffin
, J. H.
, 1985, “A Comparison of Transient and Steady State Finite Element Analyses of the Forced Response of a Frictionally Damped Beam
,” ASME J. Vib., Acoust., Stress, Reliab. Des.
0739-3717, 107
, pp. 19
–25
.32.
Filippi
, S.
, Akay
, A.
, and Gola
, M. M.
, 2003, “Measurement of Tangential Contact Hysteresis During Microslip
,” ASME J. Tribol.
0742-4787 (to be published).33.
Wilner
, K.
, and Gaul
, L.
, 1995, “A Penalty Approach for Contact Description by FEM Based on Interface Physics
,” Contact Mechanics II, Computational Mechanics Publications
, Southampton, pp. 257
–264
.Copyright © 2005
by American Society of Mechanical Engineers
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