Energy losses in an internal combustion engine are either thermal or parasitic. The latter are the mechanical inefficiencies, chiefly as the result of generated friction. Nearly half of these losses are attributed to the piston–cylinder system. During idle and at low engine speeds, friction is the major contributor to the overall engine losses. In particular, the rather small top compression ring accounts for a disproportionate share. Therefore, detailed understanding of compression ring tribology/dynamics (referred to as tribodynamics) is essential. Moreover, the ring’s primary sealing function may be breached by its elastodynamic behavior. The reported analyses in literature do not account for the transient nature of ring elastodynamics, as an essential feature of ring–bore tribology. The transient in-plane dynamics of incomplete rings are introduced in the analysis and verified using a finite element analysis (FEA) model, in order to address this shortcoming. The methodology is then coupled with the tribological analysis of the top compression ring. Comparison is made with experimental measurements which show the validity of the proposed method. The radial in-plane elastodynamic response of the ring improves the accuracy of the frictional power loss calculations.

References

1.
King
,
J.
,
2007
,
The King Review of Low Carbon Cars Part I: The Potential for CO2 Reduction
, HMSO, Norwich, UK.
2.
Lamb
,
H.
,
1888
, “
On the Flexure and Vibrations of a Curved Bar
,”
Proc. London Math. Soc.
,
19
(
1
), pp.
365
376
.10.1112/plms/s1-19.1.365
3.
Den Hartog
,
J. P.
,
1928
, “
The Lowest Natural Frequency of Circular Arcs
,”
Phil. Mag.
,
5
(
28
), pp.
400
408
.10.1080/14786440208564480
4.
Volterra
,
E.
, and
Morell
,
J. D.
,
1961
, “
Lowest Natural Frequency of Elastic Arc for Vibrations Outside the Plane of Initial Curvature
,”
ASME J. Appl. Mech.
,
28
(
4
), pp.
624
627
.10.1115/1.3641794
5.
Love
,
A. E. H.
,
1944
,
A Treatise on Mathematical Theory of Elasticity
,
Dover Publications
,
New York
.
6.
Timoshenko
,
S.
, and
Goodier
,
J. N.
,
1951
,
Theory of Elasticity
, 2nd ed.,
McGraw-Hill, Inc.
,
New York
.
7.
Archer
,
R. R.
,
1960
, “
Small Vibrations of Thin Incomplete Circular Rings
,”
Int. J. Mech. Sci.
,
1
(
1
), pp.
45
56
.10.1016/0020-7403(60)90029-1
8.
Ojalvo
,
I. U.
,
1962
, “
Coupled Twist-Bending Vibrations of Incomplete Elastic Rings
,”
Int. J. Mech. Sci.
,
4
(
1
), pp.
53
72
.10.1016/0020-7403(62)90006-1
9.
Lang
,
T. E.
,
1962
Vibration of Thin Circular Rings, Part 1
,” Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, Technical Report No. 32-261.
10.
Auciello
,
N. M.
, and
De Rosa
,
M. A.
,
1994
, “
Free Vibrations of Circular Arches: A Review
,”
J. Sound Vib.
,
176
(
4
), pp.
433
458
.10.1006/jsvi.1994.1388
11.
Kang
,
K. J.
,
Bert
,
C. W.
, and
Striz
,
A. G.
,
1996
, “
Vibration and Buckling Analysis of Circular Arches Using DQM
,”
Comput. Struct.
,
60
(
1
), pp.
49
57
.10.1016/0045-7949(95)00375-4
12.
Namazian
,
M.
, and
Heywood
,
J. B.
,
1982
, “
Flow in the Piston-Cylinder Ring Crevices of a Spark-Ignition Engine: Effect on Hydrocarbon Emissions, Efficiency and Power
,”
SAE
Paper No. 820088.10.4271/820088
13.
Dowson
,
D.
,
Economou
,
P. N.
,
Ruddy
,
B. L.
,
Strachan
,
P. J.
, and
Baker
,
A. J. S.
,
1979
, “
Piston Ring Lubrication. Part II: Theoretical Analysis of a Single Ring and a Complete Ring Pack
,” Energy Conservation Through Fluid Film Lubrication Technology: Frontiers in Research and Design, ASME Winter Annual Meeting, New York, Dec. 2–7, pp.
23
52
.
14.
Ruddy
,
B. L.
,
Dowson
,
D.
,
Economou
,
P. N.
, and
Baker
,
A. J. S.
,
1979
, “
Piston-Ring Lubrication. Part III. The Influence of Ring Dynamics and Ring Twist
,”
Energy Conservation Through Fluid Film Lubrication Technology: Frontiers in Research And Design, ASME Winter Annual Meeting
,
New York
, Dec. 2–7, pp.
191
,
215
.
15.
Tian
,
T.
,
2002
, “
Dynamic Behaviours of Piston Rings and Their Practical Impact. Part 1: Ring Flutter and Ring Collapse and Their Effects on Gas Flow and Oil Transport
,”
J. Eng. Tribol.
,
216
(
4
), pp.
209
227
.10.1243/135065002760199961
16.
D’Agostino
,
V.
, and
Senatore
,
A.
,
2010
, “
Fundamentals of Lubrication and Friction of Piston Ring Contact
,”
Tribology and Dynamics of Engine and Powertrain: Fundamentals, Applications and Future Trends
,
H.
Rahnejat
, ed.,
Woodhead Publishing Ltd.
,
Cambridge, UK
.
17.
Tung
,
S. C.
, and
McMillan
,
M. L.
,
2004
, “
Automotive Tribology Overview of Current Advances and Challenges for the Future
,”
Tribol. Int.
,
37
(
7
), pp.
517
536
.10.1016/j.triboint.2004.01.013
18.
Taylor
,
C. M.
,
1998
, “
Automobile Engine Tribology: Design Considerations for Efficiency and Durability
,”
Wear
,
221
(
1
), pp.
1
8
.10.1016/S0043-1648(98)00253-1
19.
Becker
,
E. P.
,
2004
, “
Trends in Tribological Materials and Engine Technology
,”
Tribol. Int.
,
37
(
7
), pp.
569
575
.10.1016/j.triboint.2003.12.006
20.
Fox
,
M. F.
,
Jones
,
C. J.
,
Picken
,
D. J.
, and
Stow
,
C. G.
,
1997
, “
The Limits of Lubrication Concept Applied to the Piston Ring Zone Lubrication of Modern Engines
,”
Tribol. Lett.
,
3
(
1
), pp.
99
106
.10.1023/A:1019144030153
21.
Richardson
,
D. E.
,
2000
, “
Review of Power Cylinder Friction for Diesel Engines
,”
ASME J. Eng. Gas Turbines Power
,
122
(
4
), pp.
506
519
.10.1115/1.1290592
22.
Priest
,
M.
, and
Taylor
,
C. M.
,
2000
, “
Automobile Engine Tribology: Approaching the Surface
,”
Wear
,
241
(
2
), pp.
193
203
.10.1016/S0043-1648(00)00375-6
23.
Furuhama
,
S.
,
1959
, “
A Dynamic Theory of Piston-Ring Lubrication: 1st Report, Calculation
,”
Bull. JSME
,
2
(
7
), pp.
423
428
.10.1299/jsme1958.2.423
24.
Furuhama
,
S.
,
1960
, “
A Dynamic Theory of Piston-Ring Lubrication: 2nd Report, Experiment
,”
Bull. JSME
,
3
(
10
), pp.
291
297
.10.1299/jsme1958.3.291
25.
Furuhama
,
S.
,
1961
, “
A Dynamic Theory of Piston-Ring Lubrication: 3rd Report, Measurement of Oil Film Thickness
,”
Bull. JSME
,
4
(
16
), pp.
744
752
.10.1299/jsme1958.4.744
26.
Ma
,
M.-T.
,
Sherrington
,
I.
, and
Smith
,
E. H.
,
1997
, “
Analysis of Lubrication and Friction for a Complete Piston-Ring Pack With an Improved Oil Availability Model, Part 1: Circumferentially Uniform Film
,”
J. Eng. Tribol.
,
211
(J
1
), pp.
1
15
.10.1243/1350650971542273
27.
Mishra
,
P. C.
,
Balakrishnan
,
S.
, and
Rahnejat
,
H.
,
2008
, “
Tribology of Compression Ring-to-Cylinder Contact at Reversal
,”
J. Eng. Tribol.
,
222
(
7
), pp.
815
826
.10.1243/13506501JET410
28.
Hu
,
Y.
,
Cheng
,
H. S.
,
Arai
,
T.
, and
Kobayashi
,
Y.
,
1994
, “
Numerical Simulation of Piston Ring in Mixed Lubrication: A Nonaxisymmetrical Analysis
,”
ASME J. Tribol.
,
116
(
3
), pp.
470
478
.10.1115/1.2928867
29.
Bolander
,
N. W.
,
Steenwyk
,
B. D.
,
Kumar
,
A.
, and
Sadeghi
,
F.
,
2005
, “
Lubrication Regime Transitions at the Piston Ring–Cylinder Liner Interface
,”
J. Eng. Tribol.
,
219
(
1
), pp.
19
31
.10.1243/135065005X9664
30.
Akalin
,
O.
, and
Newaz
,
G. M.
,
2001
, “
Piston Ring–Cylinder Bore Friction Modeling in Mixed Lubrication Regime: Part I—Analytical Results
,”
ASME J. Tribol.
,
123
(
1
), pp.
211
218
.10.1115/1.1286337
31.
Mishra
,
P. C.
,
Rahnejat
,
H.
, and
King
,
P. D.
,
2009
, “
Tribology of the Ring-Bore Conjunction Subject to a Mixed Regime of Lubrication
,”
Eng. Sci.
,
223
(
4
), pp.
987
998
.10.1243/09544062JMES1220
32.
Furuhama
,
S.
, and
Sasaki
,
S.
,
1983
, “
New Device for the Measurement of Piston Frictional Forces in Small Engines
,”
SAE
Technical Paper No. 831284.10.4271/831284
33.
Rahmani
,
R.
,
Theodossiades
,
R.
, and
Fitzsimons
,
B.
,
2012
, “
Transient Elastohydrodynamic Lubrication of Rough New or Worn Piston Compression Ring Conjunction With an Out-of-Round Cylinder Bore
,”
J. Eng. Tribol.
,
226
(
4
), pp.
284
305
.10.1177/1350650111431028
34.
Baker
,
C.
,
Rahnejat
,
H.
,
Rahmani
,
R.
, and
Theodossiades
,
S.
,
2011
, “
Analytical Evaluation of Fitted Piston Compression Ring: Modal Behaviour and Frictional Assessment
,”
SAE
Technical Paper No. 2011-01-1535.10.4271/2011-01-1535
35.
Baker
,
C. E.
,
Theodossiades
,
S.
,
Rahnejat
,
H.
, and
Fitzsimons
,
B.
,
2012
, “
Influence of In-Plane Dynamics of Thin Compression Rings on Friction in Internal Combustion Engines
,”
ASME J. Eng. Gas Turbines Power
,
134
(
9
), p.
092801
.10.1115/1.4006690
36.
Takiguchi
,
M.
,
Sasaki
,
R.
,
Takahashi
,
I.
,
Ishibashi
,
F.
,
Furuhama
,
S.
,
Kai
,
R.
, and
Sato
,
M.
,
2000
, “
Oil Film Thickness Measurement and Analysis of a Three Ring Pack in an Operating Diesel Engine
,”
SAE
Technical Paper No. 2000-01-1787.10.4271/2000-01-1787
37.
Rahnejat
,
H.
,
1998
,
Multi-Body Dynamics: Vehicles, Machines and Mechanisms
,
SAE/PEP (IMechE)
,
Warrendale, PA/London, UK
.
38.
Han
,
D.-C.
, and
Lee
,
J.-S.
,
1998
, “
Analysis of the Piston Ring Lubrication With a New Boundary Condition
,”
Tribol Int.
,
31
(
12
), pp.
753
760
.10.1016/S0301-679X(98)00096-6
39.
Yang
,
P.
,
Cui
,
J.
,
Jin
,
Z. M.
, and
Dowson
,
D.
,
2005
, “
Transient Elastohydrodynamic Analysis of Elliptical Contacts. Part 2: Thermal and Newtonian Lubricant Solution
,”
J. Eng. Tribol.
,
219
(J
3
), pp.
187
200
.10.1243/135065005X9826
40.
Houpert
,
L.
,
1985
, “
New Results of Traction Force Calculations in Elastohydrodynamic Contacts
,”
ASME J. Tribol.
,
107
(
2
), pp.
241
248
.10.1115/1.3261033
41.
Gohar
,
R.
, and
Rahnejat
,
H.
,
2008
,
Fundamentals of Tribology
,
Imperial College Press
,
London, UK
.
42.
Bin Chik
,
A.
, and
Fessler
,
H.
,
1966
Radial Pressure Exerted by Piston Rings
,”
J. Strain Anal.
,
1
(
2
), pp.
165
171
.10.1243/03093247V012165
43.
Greenwood
,
J. A.
, and
Tripp
,
J. H.
,
1970
, “
The Contact of Two Nominally Flat Rough Surfaces
,”
Proc. IMechE
,
185
(1), pp.
625
634
.10.1243/PIME_PROC_1970_185_069_02
44.
Teodorescu
,
M.
,
Taraza
,
D.
,
Henein
,
N. A.
, and
Bryzik
,
W.
,
2003
, “
Simplified Elasto-Hydrodynamic Friction Model of the Cam-Tappet Contact
,”
SAE
Paper No. 2003-01-0985.10.4271/2003-01-0985
45.
Tian
,
T.
,
Noordzij
,
L. B.
,
Wong
,
V. W.
, and
Heywood
,
J. B.
,
1998
, “
Modeling Piston-Ring Dynamics, Blowby, and Ring-Twist Effects
,”
ASME J. Eng. Gas Turbines Power
,
120
(
4
), pp.
843
854
.10.1115/1.2818477
46.
Johnson
,
K. L.
, and
Greenwood
,
J. A.
,
1980
, “
Thermal Analysis of an Eyring Fluid in Elastohydrodynamic Traction
,”
Wear
,
61
(
2
), pp.
353
374
.10.1016/0043-1648(80)90298-7
47.
Teodorescu
,
M.
,
Kushwaha
,
M.
,
Rahnejat
,
H.
, and
Rothberg
,
S. J.
,
2007
, “
Multi-Physics Analysis of Valve Train Systems: From System Level to Microscale Interactions
,”
J. Multibody Dyn.
,
221
(
3
), pp.
349
361
.10.1243/14644193JMBD77
48.
Hoffmann
,
K. A.
, and
Chiang
,
S. T.
,
1993
,
Computational Fluid Dynamics for Engineers
, Vol.
I
,
Engineering Education System
,
Wichita, KS
.
49.
European Federation for Transport and Environment,
2006
, “
WHO Adds Pressure for Stricter Euro-5 Standards
,” T&E Bulletin, Brussels, Belgium, Paper No. 146.
50.
Morris
,
N.
,
Rahmani
,
R.
,
Rahnejat
,
H.
,
King
,
P. D.
, and
Fitzsimons
,
B.
,
2013
, “
Tribology of Piston Compression Ring Conjunction Under Transient Thermal Mixed Regime of Lubrication
,”
Tribol. Int.
,
59
(1), pp.
248
258
.10.1016/j.triboint.2012.09.002
51.
Balakrishnan
,
S.
, and
Rahnejat
,
H.
,
2005
, “
Isothermal Transient Analysis of Piston Skirt-to-Cylinder Wall Contacts Under Combined Axial, Lateral and Tilting Motion
,”
J. Phys. D
,
38
(
5
), p.
787
.10.1088/0022-3727/38/5/018
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