The paper deals with the theoretical and experimental evaluation of the performance of a continuously variable transmission chain drive in steady-state conditions. We propose an enhanced version of the Carbone–Mangialardi–Mantriota (CMM) model, to accurately predict the slip behavior and the traction performance of the variator. To achieve this objective, it is necessary to accurately estimate the elastic displacements of the pulley. The determination of the actual pulley deformation allows to obtain a better estimation of the sliding velocities between the pins and the pulley surfaces and, therefore, to calculate the amount of total slip between the primary and secondary pulleys with a higher degree of accuracy. In contrast to multibody models, the approach presented here has a very simple formulation and results in an easy implementation, which allows a complete and fast evaluation of the variator working points. The theoretical results are discussed and critically compared with experimental data. The comparison confirms the validity of the CMM approach in a large range of clamping forces, speed ratios and torque loads.

1.
Greene
,
D. L.
, and
Schafer
,
A.
, 2003, “
Reducing Greenhouse Gas Emissions From US Transportation
,” Report Prepared for the Pew Center on Global Climate Change.
2.
Mantriota
,
G.
, 2005, “
Fuel Consumption of a Vehicle With Power Split CVT System
,”
Int. J. Veh. Des.
0143-3369,
37
(
4
), pp.
327
342
.
3.
Brace
,
C.
,
Deacon
,
M.
,
Vaughan
,
N. D.
,
Horrocks
,
R. W.
, and
Burrows
,
C. R.
, 1999, “
The Compromise in Reducing Exhaust Emissions and Fuel Consumption From a Diesel CVT Powertrain Over Typical Usage Cycles
,”
Proceedings of CVT ’99 Congress, Eindhoven
, The Netherlands, pp.
27
33
.
4.
Brace
,
C.
,
Deacon
,
M.
,
Vaughan
,
N. D.
,
Burrows
,
C. R.
, and
Horrocks
,
R. W.
, 1997, “
Integrated Passenger Cat Diesel CVT Powertrain Control for Economy and Low Emissions
,”
ImechE International Seminar S540, Advanced Vehicle Transmission and Powertrain Management
, Sep. 25–26.
5.
Carbone
,
G.
,
Mangialardi
,
L.
, and
Mantriota
,
G.
, 2002, “
Fuel Consumption of a Mid Class Vehicle With Infinitely Variable Transmission
,”
SAE Trans. J. of Engines
,
110
(
3
), pp.
2474
2483
.
6.
Carbone
,
G.
,
Mangialardi
,
L.
,
Mantriota
,
G.
, and
Soria
,
L.
, 2004, “
Performance of a City Bus Equipped With a Toroidal Traction Drive
,”
IASME Trans.
,
1
(
1
), pp.
16
23
.
7.
Carbone
,
G.
,
Mangialardi
,
L.
, and
Mantriota
,
G.
, 2005, “
The Influence of Pulley Deformations on the Shifting Mechanisms of MVB-CVT
,”
ASME J. Mech. Des.
0161-8458,
127
, pp.
103
113
.
8.
Saito
,
T.
, 2007, “
Simulation of Stress on Elements of CVT Metal Pushing V-Belt Under Transient Operating Conditions
,”
Proceedings of the International Congress on Continuously Variable and Hybrid Transmissions
, Paper No. 20074544, Yokohama, Japan.
9.
Kanehara
,
S.
,
Fujii
,
T.
, and
Kitagawa
,
T.
, 1994, “
A Study of a Metal Pushing V-Belt Type CVT-Part 3: What Forces Act on Metal Blocks?
,” SAE Paper No. 940735.
10.
Micklem
,
J. D.
,
Longmore
,
D. K.
, and
Burrows
,
C. R.
, 1994, “
Modelling of the Steel Pushing V-Belt Continuously Variable Transmission
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
0954-4062,
208
(
1
), pp.
13
27
.
11.
Srivastava
,
N.
, and
Haque
,
I.
, 2008, “
Clearance and Friction Induced Dynamics of Chain CVT Drives
,”
Multibody Syst. Dyn.
1384-5640,
19
(
3
), pp.
255
280
.
12.
Sorge
,
F.
, 1996, “
Influence of Pulley Bending on Metal V-Belt Mechanics
,”
Proceedings of the International Conference on Continuously Variable Power Transmission, Japanese Society of Automotive Engineers
, Paper No. 102 (9636268), Yokohama, Japan, Sep. 11–12, 9–15.
13.
Gerbert
,
G.
, 1984, “
Metal V-Belt Mechanics
,”
ASME
Paper No. 84-DET-227.
14.
Srnik
,
J.
, and
Pfeiffer
,
F.
, 1999, “
Dynamics of CVT Chain Drives
,”
Int. J. Veh. Des.
0143-3369,
22
, pp.
54
72
.
15.
Ide
,
T.
,
Uchiyama
,
H.
, and
Kataoka
,
R.
, 1996, “
Experimental Investigation on Shift Speed Characteristics of a Metal V-Belt CVT
,” JSAE Paper No. 9636330.
16.
Ide
,
T.
,
Udagawa
,
A.
, and
Kataoka
,
R.
, 1995, “
Simulation Approach to the Effect of the Ratio Changing Speed of a Metal V-Belt CVT on the Vehicle Response
,”
Veh. Syst. Dyn.
0042-3114,
24
, pp.
377
388
.
17.
Carbone
,
G.
,
Mangialardi
,
L.
, and
Mantriota
,
G.
, 2001, “
Theoretical Model of Metal V-Belt Drives During Rapid Ratio Changing
,”
ASME J. Mech. Des.
0161-8458,
123
(
1
), pp.
111
117
.
18.
Carbone
,
G.
,
Mangialardi
,
L.
, and
Mantriota
,
G.
, 2002, “
Influence of Clearance Between Plates in Metal Pushing V-Belt Dynamics
,”
ASME J. Mech. Des.
0161-8458,
124
(
3
), pp.
543
557
.
19.
Bonsen
,
B.
,
Klaassen
,
T. W. G. L.
,
van de Meerakker
,
K. G. O.
,
Steinbuch
,
M.
, and
Veenhuizen
,
P. A.
, 2003, “
Analysis of Slip in a Continuously Variable Transmission
,”
ASME
Paper No. IMECE2003-41360.
20.
Simons
,
S. W. H.
,
Klaassen
,
T. W. G. L.
,
Steinbuch
,
M.
,
Veenhuizen
,
P. A.
, and
Carbone
,
G.
, 2008, “
Shift Dynamics Modelling for Optimization Variator Slip Control in a Push-Belt CVT
,”
Int. J. Veh. Des.
0143-3369,
48
(
1-2
), pp.
45
64
.
21.
Kim
,
J.
, 2005, “
Launching Performance Analysis of a Continuously Variable Transmission Vehicle With Different Torsional Couplings
,”
ASME J. Mech. Des.
0161-8458,
127
(
2
), pp.
295
301
.
22.
van der Noll
,
E.
,
van der Sluis
,
F.
,
van Dongen
,
T.
, and
van der Velde
,
A.
, 2008, “
Innovative Self-Optimizing Clamping Force Strategy Boosts Efficiency of the Pushbelt CVT
,”
Seventh International CTI Symposium—Innovative Automotive Transmissions
, Berlin, Germany, Dec. 1–4.
23.
van Rooij
,
J.
, and
Frank
,
A. A.
, 2002, “
Development of a 700Nm Chain CVT
Proceedings of the International Congress on Continuously Variable Transmission (VDI Berichte 1709)
, Munich, Germany, pp.
179
194
.
24.
Carbone
,
G.
,
Scaraggi
,
M.
, and
Soria
,
L.
, 2009, “
The Lubrication Regime at Pin-Pulley Interface in Chain CVTs
,”
ASME J. Mech. Des.
0161-8458,
131
(
1
), pp.
1
9
.
25.
Carbone
,
G.
,
Scaraggi
,
M.
, and
Mangialardi
,
L.
, 2009, “
EHL-Squeeze at Pin-Pulley Interface in CVTs: Influence of Lubricant Rheology
,”
Tribol. Int.
0301-679X,
42
(
6
), pp.
862
868
.
26.
Carbone
,
G.
,
Mangialardi
,
L.
,
Bonsen
,
B.
,
Tursi
,
C.
,
Veenhuizen
,
P. A.
, and
Dynamics
,
C. V. T.
, 2007, “
Theory and Experiments
,”
Mech. Mach. Theory
0094-114X,
42
(
4
), pp.
409
428
.
27.
Rothenbühler
,
Y.
, 2009, “
New Slip Synthesis and Theoretical Approach of CVT Slip Control
,” Ph.D. dissertation, École Polytechnique Fédérale de Lausanne.
28.
Sattler
,
H.
, 1999, “
Efficiency of Metal Chain and V-Belt CVT
,”
Proceedings of CVT ’99 Congress
, Eindhoven, The Netherlands, pp.
99
104
.
You do not currently have access to this content.