This paper surveys the literature on the use of dry friction in passive damping and vibration isolation. Several analytical techniques are presented followed by applications from various areas. Despite difficulties in the analytical and experimental treatment of friction damped systems, numerous studies have endeavored to predict, measure, and/or enhance the energy dissipation and vibration isolation properties of dry friction in order to improve system performance. Undoubtedly, friction damping will continue to play an important role in many mechanical and structural systems.

1.
Aiken
 
I. D.
,
Nims
 
D. K.
,
Whittaker
 
A. S.
, and
Kelly
 
J. M.
,
1993
, “
Testing of Passive Energy Dissipation Systems
,”
Earthquake Spectra
, Vol.
9
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3
, pp.
335
370
.
2.
Aliabadi, M. H., and Brebbia, C. A., eds., 1993, Computational Methods in Contact Mechanics, Computational Mechanics Publications, Southampton; co-published with Elsevier Applied Science, London.
3.
Anderson
 
J. R.
, and
Ferri
 
A. A.
,
1990
, “
Behavior of a Single-Degree-of-Freedom System with a Generalized Friction Law
,”
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2
, pp.
287
304
.
4.
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B.
,
Dupont
 
P.
, and
Canudas de Wit
 
C.
,
1994
, “
A Survey of Models, Analysis Tools and Compensation Methods for the Control of Machines with Friction
,”
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1083
1138
.
5.
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6.
Beards
 
C. F.
, and
Imam
 
I. M. A.
,
1978
, “
The Damping of Plate Vibration by Interfacial Slip Between Layers
,”
International Journal of Machine Tool Design and Research
, Vol.
18
, No.
3
, pp.
131
137
.
7.
Beards
 
C. F.
,
1983
, “
The Damping of Structural Vibration by Controlled Interfacial Slip in Joints
,”
ASME Journal of Vibration, Acoustics, Stress and Reliability in Design
, Vol.
105
, July, pp.
369
373
.
8.
Beards
 
C. F.
, and
Woowat
 
A.
,
1985
, “
The Control of Frame Vibration by Friction Damping in Joints
,”
ASME Journal of Vibration, Acoustics, Stress and Reliability in Design
, Vol.
107
, January, pp.
26
32
.
9.
Beards
 
C. F.
,
1992
, “
Damping in Structural Joints
,”
The Shock and Vibration Digest
, Vol.
24
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7
, pp.
3
7
.
10.
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K. E.
, and
Kelly
 
J. M.
,
1985
, “
Equivalent Linearizations for Practical Hysteretic Systems
,”
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4
, pp.
211
238
.
11.
Bielawa
 
R. L.
,
1978
, “
An Analytic Study of the Energy Dissipation of Turbomachinery Bladed-Disk Assemblies due to Inter-Shroud Segment Rubbing
,”
ASME Journal of Mechanical Design
, Vol.
100
, April, pp.
222
228
.
12.
Bindemann, A. C., and Ferri, A. A., 1995, “The Influence of Alternative Friction Models on the Passive Damping and Dynamic Response of a Flexible Structure,” Proceedings of the 36th Structures, Structural Dynamics, and Materials Conference, New Orleans, LA, April 10–12, pp. 180–189.
13.
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T. M.
, and
Griffin
 
J. H.
,
1989
, “
An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of a Nonlinear Dynamic System
,”
ASME Journal of Applied Mechanics
, Vol.
56
, March, pp.
149
154
.
14.
Cebon
 
D.
,
1986
, “
Simulation of the Response of Leaf Springs to Broad Band Random Excitation
,”
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6
, pp.
375
392
.
15.
Constantinou
 
M.
, and
Tadjbakhsh
 
I. G.
,
1984
, “
The Optimum Design of a Base Isolation System with Frictional Elements
,”
Earthquake Engineering and Structural Dynamics
, Vol.
12
, pp.
203
214
.
16.
Cooperrider
 
N. K.
,
1972
The Hunting Behavior of Conventional Railway Trucks
,”
ASME Journal of Engineering for Industry
, Vol.
94
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2
, May, pp.
752
762
.
17.
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18.
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E. F.
, and
Aubert
 
A. C.
,
1986
Identification of Nonlinear Structural Elements by Force State Mappings
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1
, January, pp.
155
162
.
19.
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20.
Den Hartog, J. P., 1956, Mechanical Vibrations, McGraw-Hill, NY.
21.
Diomin
 
Y. V.
,
Kovtun
 
E. N.
, and
Markova
 
O. M.
,
1994
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71
83
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22.
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E. H.
, and
Schwartz
 
H. B.
,
1983
Forced Response of a Cantilever Beam with a Dry Friction Damper Attached, Part I: Theory, and Part II: Experiment
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255
291
.
23.
Dowell
 
E. H.
,
1986
Damping in Beams and Plates Due to Slipping at the Support Boundaries
,”
Journal of Sound and Vibration
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2
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253
.
24.
Dupont
 
P. E.
, and
Bapna
 
D.
,
1994
Stability of Sliding Frictional Surfaces with Varying Normal Force
,”
ASME Journal of Vibration and Acoustics
, Vol.
116
, April, pp.
237
242
.
25.
Earles
 
S. W. E.
, and
Beards
 
C. F.
,
1970
Some Aspects of Frictional Damping as Applied to Vibrating Beams
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26.
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B.
,
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27.
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B.
, and
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F. C.
,
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.
28.
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A. A.
, and
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E. H.
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55
74
.
29.
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A. A.
, and
Dowell
 
E. H.
,
1988
Frequency Domain Solutions to Multi-Degree-of-Freedom, Dry Friction Damped Systems
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30.
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A. A.
,
1988
Modeling and Analysis of Nonlinear Sleeve Joints of Large Space Structures
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31.
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32.
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A. A.
, and
Heck
 
B. S.
,
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b “
Analytical Investigation of Damping Enhancement Using Active and Passive Structural Joints
,”
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, Vol.
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5
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1264
.
33.
Ferri
 
A. A.
, and
Bindemann
 
A. C.
,
1992
Damping and Vibration of Beams with Various Types of Frictional Support Conditions
,”
ASME Journal of Vibration and Acoustics
, Vol.
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3
, pp.
289
296
.
34.
Ferri, A. A., and Heck, B. S., 1994 “Vibration Analysis of Dry Friction Damped Turbine Blades Using Singular Perturbation Theory,” Proceedings of the ASME International Mechanical Engineering Congress and Exposition, Chicago, IL, November 6–11, AMD-Vol. 192, pp. 47–56.
35.
Filiatrault
 
A.
, and
Cherry
 
S.
,
1988
Comparative Performance of Friction Damped Systems and Base Isolation Systems for Earthquake Retrofit and Aseismic Design
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36.
Filiatrault
 
A.
,
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37.
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S. L.
, and
Redd
 
F. J.
,
1990
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,”
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38.
Fries
 
R. H.
,
Cooperrider
 
N. K.
, and
Law
 
E. H.
,
1981
Experimental Investigation of Freight Car Lateral Dynamics
,”
ASME Journal of Dynamic Systems, Measurement, and Control
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39.
Garg, V. K., and Dukkipati, R. V., 1984, Dynamics of Railway Vehicle Systems, Academic Press, Toronto, Canada.
40.
Griffin
 
J. H.
,
1980
Friction Damping of Resonant Stresses in Gas Turbine Engine Airfoils
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.
41.
Griffin
 
J. H.
, and
Sinha
 
A.
,
1985
The Interaction Between Mistuning and Friction in the Forced Response of Bladed Disk Assemblies
,”
ASME Journal of Engineering for Gas Turbines and Power
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42.
Han
 
S. Z.
,
1985
Dynamic Response of a Laminated Plate with Friction Damping
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
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43.
Hedrick, J. K., and Arslan, A. V., 1980 “Nonlinear Analysis of Rail Vehicle Forced Lateral Response and Stability,” Nonlinear System Analysis and Synthesis: Volume 2—Techniques and Applications, Ramnath, R. V., Hedrick, J. K., and Paynter, H. M., eds., pp. 227–247, ASME Press, NY, NY.
44.
Hertz
 
T. J.
, and
Crawley
 
E. F.
,
1984
Damping in Space Structure Joints
,” AIAA Dynamics Specialists Conference, Palm Springs, CA, May 17–18, AIAA Paper No. AIAA-84-1039-CP. (See also
AIAA Journal
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12
, pp.
1998
2000
).
45.
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D. P.
, and
Soom
 
A.
,
1991
Normal Vibrations and Friction Under Harmonic Loads: Part I—Hertzian Contacts, Part II—Rough Planar Contacts
,”
ASME Journal of Tribology
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, January, pp.
80
92
.
46.
Hess, D. P., and Wagh, N. J., 1992 “Chaotic Vibrations and Friction at Mechanical Joints,” Proceedings of the ASME Winter Annual Meeting, Anaheim, CA, November 8–13, Friction-Induced Vibration, Chatter, Squeal, and Chaos, Ibrahim, R. A., and Soom, A., eds., ASME Press, DE-Vol. 49, pp. 149–156.
47.
Ibrahim
 
R. A.
,
1994
a “
Friction-Induced Vibration, Chatter, Squeal, and Chaos—Part I: Mechanics of Contact and Friction
,”
Applied Mechanics Reviews
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7
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209
226
.
48.
Ibrahim
 
R. A.
,
1994
b, “
Friction-Induced Vibration, Chatter, Squeal, and Chaos—Part II: Dynamics and Modeling
,”
Applied Mechanics Reviews
, Vol.
47
, No.
7
, pp.
227
253
.
49.
Je´ze´quel
 
L.
,
1983
Structural Damping by Slip in Joints
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
, Vol.
105
, pp.
497
504
.
50.
Jones
 
D. I. G.
,
1990
Damping of Dynamic Systems
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The Shock and Vibration Digest
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51.
Karius
 
D.
,
1985
A Contribution on Forced Periodic Oscillations with Piecewise Linear and Constant Damping
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
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, pp.
383
391
.
52.
Kelly
 
J. M.
,
1986
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Aseismic Base Isolation: Review and Bibliography
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53.
Klepp
 
H. J.
,
1991
Steady-State and Irregular Motions of a System With Friction Under Harmonic Excitation
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54.
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55.
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56.
Law
 
E. H.
, and
Cooperrider
 
N. K.
,
1974
A Survey of Railway Vehicle Dynamics Research
,”
ASME Journal of Dynamic Systems, Measurement, and Control
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96
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132
146
.
57.
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58.
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E. S.
,
1960
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59.
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N.
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M. C.
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1991
a “
Analysis of Motion Resisted by Friction. I. Constant Coulomb and Linear/Coulomb Friction
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60.
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N.
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Constantinou
 
M. C.
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1991
b “
Analysis of Motion Resisted by Friction. II. Velocity-Dependent Friction
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Mechanics of Structures and Machines
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61.
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C.-H.
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Griffin
 
J. H.
,
1985
A Comparison of Transient and Steady-State Finite Element Analyses of the Forced Response of a Frictionally Damped Beam
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
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107
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1
, January, pp.
19
25
.
62.
Menq
 
C.-H.
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Bielak
 
J.
, and
Griffin
 
J. H.
,
1986
The Influence of Microslip on Vibratory Response, Part I: A New Microslip Model, and Part II: A Comparison with Experimental Results
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Journal of Sound and Vibration
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307
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63.
Menq
 
C.-H.
,
Griffin
 
J. H.
, and
Bielak
 
J.
,
1986
a “
The Forced Response of Shrouded Fan Stages
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
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108
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1
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55
.
64.
Menq
 
C.-H.
,
Griffin
 
J. H.
, and
Bielak
 
J.
,
1986
b “
The Influence of a Variable Normal Load on the Forced Vibration of a Frictionally Damped Structure
,”
ASME Journal of Engineering for Gas Turbines and Power
, Vol.
108
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2
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300
305
.
65.
Menq
 
C.-H.
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Chidamparam
 
P.
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Griffin
 
J. H.
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66.
Mokha
 
A.
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Constantinou
 
M. C.
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Reinhorn
 
A. M.
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Zayas
 
V.
,
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N.
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Khodaverdian
 
M.
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1988
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68.
Muszyn´ska
 
A.
, and
Jones
 
D. I. G.
,
1983
a “
On Tuned Bladed Disk Dynamics: Some Aspects of Friction Related Mistuning
,”
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69.
Muszyn´ska
 
A.
, and
Jones
 
D. I. G.
,
1983
b “
A Parametric Study of Dynamic Response of a Discrete Model of Turbomachinery Bladed Disk
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
, Vol.
105
, October, pp.
434
443
.
70.
Oden
 
J. T.
, and
Martins
 
J. A. C.
,
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71.
Pall
 
A. S.
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Marsh
 
C.
,
1982
Response of Friction Damped Braced Frames
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72.
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F.
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M.
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74.
Pierre
 
C.
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A. A.
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Dowell
 
E. H.
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Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method
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ASME Journal of Applied Mechanics
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75.
Pivovarov
 
I.
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Vinogradov
 
O.
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77.
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Y.
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Beards
 
C. F.
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A New Receptance-Based Perturbative Multi-Harmonic Balance Method for the Calculation of the Steady State Response of Non-Linear Systems
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K.
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U.
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Dechent
 
P.
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Ryba
 
D.
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S. W.
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Y. S.
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Iverson
 
J. C.
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Kim
 
K. S.
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, “
Experimental Studies on Damping Characteristics of Bolted Joints for Plates and Shells
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.
82.
Sinha
 
A.
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Griffin
 
J. H.
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Friction Damping of Flutter in Gas Turbine Engine Airfoils
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Sinha
 
A.
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Griffin
 
J. H.
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Kielb
 
R. E.
,
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Influence of Friction Dampers on Torsional Blade Flutter
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ASME Journal of Engineering for Gas Turbines and Power
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108
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84.
Sinha
 
A.
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Friction Damping of Random Vibration in Gas Turbine Engine Airfoils
,” ASME Paper No. 87-GT-44, Presented at the Gas Turbine Conference and Exhibition, Anaheim, CA, May 31-June 4. (Also,
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,
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.)
85.
Srinivasan
 
A. V.
, and
Cutts
 
D. G.
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Dry Friction Damping Mechanisms in Engine Blades
,” ASME Paper No. 82-GT-162 (See also
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, Vol.
105
,
1983
, pp.
332
341
).
86.
Su, L., Ahmadi, G., and Tadjbakhsh, I. G., 1987 “A Comparative Study of Different Base Isolators,” Dynamics of Structures, Proceedings of the Structures Congress ’87, Roesset, J. M., ed., Orlando, FL, August 17–20, pp. 15–26.
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L.
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, and
Tadjbakhsh
 
I. G.
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