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International Journal of Engineering and Techniques - Volume 2 Issue 3, May – June 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 139
Comparison between Experimental and Analytical Analysis
of Single Ball Continuous Variable Transmission System
Dhanashree N Chaudhari1
, Pundlik N Patil2
1(ME Student, Department of Mechanical Engineering, Shri Gulabrao Deokar College of Engineering
North Maharashtra University ,Jalgaon ,Maharashtra state, India)
2 (Associate Professor, Department of Mechanical Engineering, Shri Gulabrao Deokar College of Engineering.
North Maharashtra University, Jalgaon, Maharashtra state, India)
1. INTRODUCTION
The primary function of a transmission is to transmit
mechanical power from a power source to some form of
useful output device. Since the invention of the internal
combustion engine, it has been the goal of transmission
designers to develop more efficient methods of coupling the
output of an engine to a load while allowing the engine to
operate in its most efficient or highest power range.
Conventional transmissions allow for the selection of discrete
gear ratios, thus limiting the engine to providing maximum
power or efficiency for limited ranges of output speed.
Because the engine is forced to modulate its speed to provide
continuously variable output from the transmission to the load,
it operates much of the time in low power and low efficiency
regimes.
The development of modern CVTs has generally
focused on friction driven devices, such as those commonly
used in off-road recreational vehicles, and recently in some
automobiles. While these devices allow for the selection of a
continuous range of transmission ratios, they are inherently
inefficient. The reliance on friction to transmit power from the
power source to the load is a source of power loss because
some slipping is possible. This slipping is also a major
contributor to wear, which occurs in these devices.
Fig. 1 Single Ball Traction Drive
2. OBJECTIVE
1. Design and development of Continuous variable
transmission.
2. Experimental testing And Trial to derive
Following Performance Characteristics
a) Torque Vs Speed
b) Power Vs Speed
c) Efficiency Vs Speed
3. Manufacturing of continuous transmission system.
Fig.1 Experimental Setup
2. EXPERIMENTAL METHODOLOGY
Abstract:
A mechanical torque transmission producing an output with variable controllable speed torque characteristics
which compares a rotary input shaft adapted for attachment to the rotary power source connected to a main shaft.
This invention relates to a mechanism transferring torque from one rotating shaft to another and in particular to a
transmission mechanism that will enable an engine or motor to deliver power to a load at optimum torque and speed
levels. Control can be utilized to activate or deactivate the clutch also change the phase relationship of the
driven eccentric masses device in order to vary the transmission output under varying load condition.
Continuous variable transmission system plays a crucial role in order to guarantee the overall vehicle
performance in different working conditions.
Keywords — Continuous variable transmission, Velocity theorem, Torque transmission, CVT
RESEARCH ARTICLE OPEN ACCESS
International Journal of Engineering and Techniques - Volume 2 Issue 3, May – June 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 140
1. Review of literature regarding the work done
2. Analytical design of CVT.
3. Manufacturing and assembly of the Actual testing
set-up.
4. Perform experimental testing on CVT with different
Performance Characteristics.
5. Result and Discussion.
3. ANALYTICAL ANALYSIS
3.1 Design of Input Cone and Output Cone
Material
Designation
Tensile Strength
(N/mm )
Yield Strength
(N/mm)
EN24 800 680
fs max = 0.18 fult
= 0.18 x 800
= 144 N/mm2
OR
fs max = 0.3 fyt
=0.3 x 680 = 204N/mm2
Considering minimum of the above values;
 fs max = 144 N/mm2
This is the allowable value of shear stress that can be induced
in the shaft material for safe operation.
Fig.2 FEA analysis of input and output cone
3.2 Design of Ball Holder
Material
Designation
Tensile Strength
(N/mm )
Yield Strength
(N/mm)
EN9 600 480
Force in compression is owing to radial force caused by the
rotating ball
Given by F = T/r = 13791/35 =394 N
fc act =
A
W
fc act = 1.25 N/mm2
As fc act < fc all; Ball holder is safe in compression.
Fig.3 FEA analysis of ball holder
3.3 DESIGN OF SPEED CHANGING KNOB
T= 100 x 35 = 3500 N-mm
 fs max = 130 N/mm2
Check for torsional shear failure:-
T =  x fs act x Do 4
– Di 4
16 Do
3500 =  x fs act x 48 4
– 36 4
16 48
 fs act =0.235 N/mm2
As; fs act < fs all
Knob is safe under torsional load
International Journal of Engineering and Techniques - Volume 2 Issue 3, May – June 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 141
Fig.3 FEA analysis of speed changing knob
4. ANALYTICAL RESULTS:
The maximum torque is given by the formula:
T = m* ω * RCG *D
Where,
T : Maximum torque (N-m)
M : Masse (kg)
ω : Angular acceleration (m/s)
RCG : Radius of offset mass
D : Radius of lobe
TABLE 1: ANALYTICAL RESULTS
Sr.
No
Speed
(rpm)
Angular Speed Torque
(N-m)W W2
1 2000 209.43 43864 0.28
2 1875 196.34 38553.14 0.24
3 1545 161.79 26176 0.17
4 1390 145.56 21187.85 0.14
5 1250 130.89 17134.7 0.13
6 1030 107.86 11633 0.72
7 830 86.91 7554.63 0.46
8 750 78.53 6168.5 0.38
9 660 69.11 4776.88 0.297
10 595 62.30 3882.31 0.234
5. EXPERIMENTAL RESUITS
The Following test results will be derived from Test and
Trial method On CVT
TABLE2: EXPERIMENTAL RESULT
Sr
No.
Load
(gms)
Speed
Rpm
Torque
(n-m)
Power efficiency
1 120 2000 0.047088 9.8633664 56.36209
2 170 1875 0.066708 13.099784 74.85591
3 220 1545 0.086328 13.968993 79.82282
4 270 1390 0.105948 15.423839 88.13622
5 320 1250 0.125568 16.438944 93.93682
6 370 1030 0.145188 15.662204 89.49831
7 420 830 0.164808 14.32654 85.78766
8 470 750 0.184428 14.486819 82.78183
9 520 660 0.204048 14.104614 80.59779
10 570 595 0.223668 13.93817 79.64668
6. SUMMARY OF RESULT
The result correlation summarized as show in table
TABLE3: SUMMARY OF RESULT CORRELATION
Sr.
No
Speed Analytical
Results Torque
(N-m)
Experimental
results
Torque (N-m)
%
error
1 1875 0.2339 0.066708 4
2 1390 0.13 0.105948 3
3 1545 0.16 0.086328 7
The error in prediction of IVT by theoretical analysis is the
range of 3 to 4% and experimental analysis 5 to 20%. The
propose method is confirmed by the comparing it with result
of FEA and Experimental result. This is an in well agreement
the acceptable limit ±10%.
The following test results will be derived from the test and
trial on CVT Drive
1] Torque Vs Speed Characteristics:
International Journal of Engineering and Techniques - Volume 2 Issue 3, May – June 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 142
Above graph shows torque Vs speed characteristic. As speed
increases torque decreases. At low speed torque is high.
2] Power Vs Speed Characteristic
At low speed torque is high power is increases with decrease
in speed which is inversely varies with speed. When speed
ranges in 1000 rpm it slowly decreases and after that speed
increases power decreases suddenly.
3] Efficiency Vs Speed Characteristics
At low speed efficiency is high and a speed increases
efficiency decrease which is inversely varies with speed.
7. CONCLUSION
Power transmission system is very important in industril
application.To carry out various production work at various
speed e require the stepless, shockless speed variation.
Therefore it is necessary to design and develop the power
transmission system in compact size, most efficient
withminimum cost.
The error in prediction of torque converter by
theoretical analysis is in the range of 3 % to 15% and
experimental analysis it is the range of 5 % to 20 %. The
proposed method is confirmed by comparing it with results
of FEA results and experimental results.The proposed
method is foundto be simple and accurate.The CVT is
newly concept in Light and Medium vehicle on automobile
industries is development research they are torque
convertor in various masses with different input speed to
very output speed to give the more Transmissions, Methods,
Assemblies, Subassemblies and efficient in output power.
From graphs shows that the low speed power, torque
Efficiency increases and decrease as speed increases which is
inversly proportional with speed.
0.047
0.066
0.086
0.105
0.125
0.145
0.164
0.184
0.204
0.223
0
0.05
0.1
0.15
0.2
0.25
20 001 87 51 54513 901 25 01 0308 30 7 50 65 0 5 96
TORQUE(n-m)
speed (rpm)
TORQUE VS SPEED
Torque (N-m)
9.86
13
13.96
15.42
16.4315.66
14.3214.4814.113.93
0
5
10
15
20
20 001 8751 5451 39 0125 0103 0 830 750 65 0 59 6
POWER(WATT)
speed (rpm)
POWER VS SPEED
POWER (W)
56.36
74.8579.82
88.13
93.9389.4985.7882.7880.5979.64
0
20
40
60
80
100
2 0001 8751 54513 9012 5010 30 8 30 7 50 6 50 5 96
EFFICIENCY(%)
speed (rpm)
EFFICIENCY VS SPEED
Efficiency (%)
International Journal of Engineering and Techniques - Volume 2 Issue 3, May – June 2016
ISSN: 2395-1303 http://www.ijetjournal.org Page 143
7. REFERENCE
[1] Ryan R. Dalling, An Investigation of Positive
Engagement Continuously Variable Transmissions,
Brigham Young University, 2008 -2009.
[2] H Ghariblu, A.Behroozirad, Madandar, Traction and
Efficiency Performance of Ball Type CVTs, International
Journal of Automotive Engineering,Volume 2, 2014, 739-
748
[3] Lohr,Charles,Stevenson, Gregory, Infinite Variable
Transmissions, Methods, Assemblies, Subassemblies
and Components, Patent Application Publication, 2009
[4] Timothy Cyders , Robert L. Williams, Analysis of a new
form of intrinsically automatic contineously variable
transmission, International Design Engineering Technical
Conferences & Computers and Information in
Engineering Conference, August 15-18, 2010
[5] Wisam M. Abu-Jadayil , Mousa S. Mohsen, Design and
Manufacturng of Self Actuating Traction Drives with
Solid and Hollow Rollers, Jordan Journal of Mechanical
and Industrial Engineering,Volume4, Pages 467 – 476
[6] Carter, J., and Miller, D., “The Design and Analysis of
An Alternative Traction Drive Cvt, SAE Paper
2003-01-0970, 2003.
[7] Richard J. Parker, Stuart H. Loewenthal, Design Studies
of Continuously Variable Transmissions for Electric
Vehicles,National Aeronautics and Space Administration
Lewis Research Center, February 23-27, 1981
[8] Wisam M. Abu-Jadayil , Mousa S. Mohesan, Design and
Manufacturing of Self Actuating Traction Drives with
Solid and Hollow Rollers, Department of Mechanical
Engineering, The Hashemite University, Zarqa, 13135
[9] Jordan. Edward Tibbals, Single ball Traction Drive
Assembly, United States Patent, Patent No. 4700581
[10] Peter Milner,Yukiharu Hosoi , Investigation and
Testing Of Performance of Rolling Traction Drive
CVT, Society of Automotive Engineers, Inc.
[11] Brad Pohl, Matthew Simister, Robert Smithson, Don
Miller,Configuration Analysis of a Spherical Traction
Drive CVT/IVT, SAE Paper, 2004 .
[12] Kunal s. Marathe, Vishnu d.wakchaure,” Speed Ratio
prediction and performance Analysis of Single Ball
TractionDrive for CVT”,International Journal of
Engineering Reasearch and Applications,Vol.4, June
2014,pp.189

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[IJET-V2I3P23] Authors: Dhanashree N Chaudhari, Pundlik N Patil

  • 1. International Journal of Engineering and Techniques - Volume 2 Issue 3, May – June 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 139 Comparison between Experimental and Analytical Analysis of Single Ball Continuous Variable Transmission System Dhanashree N Chaudhari1 , Pundlik N Patil2 1(ME Student, Department of Mechanical Engineering, Shri Gulabrao Deokar College of Engineering North Maharashtra University ,Jalgaon ,Maharashtra state, India) 2 (Associate Professor, Department of Mechanical Engineering, Shri Gulabrao Deokar College of Engineering. North Maharashtra University, Jalgaon, Maharashtra state, India) 1. INTRODUCTION The primary function of a transmission is to transmit mechanical power from a power source to some form of useful output device. Since the invention of the internal combustion engine, it has been the goal of transmission designers to develop more efficient methods of coupling the output of an engine to a load while allowing the engine to operate in its most efficient or highest power range. Conventional transmissions allow for the selection of discrete gear ratios, thus limiting the engine to providing maximum power or efficiency for limited ranges of output speed. Because the engine is forced to modulate its speed to provide continuously variable output from the transmission to the load, it operates much of the time in low power and low efficiency regimes. The development of modern CVTs has generally focused on friction driven devices, such as those commonly used in off-road recreational vehicles, and recently in some automobiles. While these devices allow for the selection of a continuous range of transmission ratios, they are inherently inefficient. The reliance on friction to transmit power from the power source to the load is a source of power loss because some slipping is possible. This slipping is also a major contributor to wear, which occurs in these devices. Fig. 1 Single Ball Traction Drive 2. OBJECTIVE 1. Design and development of Continuous variable transmission. 2. Experimental testing And Trial to derive Following Performance Characteristics a) Torque Vs Speed b) Power Vs Speed c) Efficiency Vs Speed 3. Manufacturing of continuous transmission system. Fig.1 Experimental Setup 2. EXPERIMENTAL METHODOLOGY Abstract: A mechanical torque transmission producing an output with variable controllable speed torque characteristics which compares a rotary input shaft adapted for attachment to the rotary power source connected to a main shaft. This invention relates to a mechanism transferring torque from one rotating shaft to another and in particular to a transmission mechanism that will enable an engine or motor to deliver power to a load at optimum torque and speed levels. Control can be utilized to activate or deactivate the clutch also change the phase relationship of the driven eccentric masses device in order to vary the transmission output under varying load condition. Continuous variable transmission system plays a crucial role in order to guarantee the overall vehicle performance in different working conditions. Keywords — Continuous variable transmission, Velocity theorem, Torque transmission, CVT RESEARCH ARTICLE OPEN ACCESS
  • 2. International Journal of Engineering and Techniques - Volume 2 Issue 3, May – June 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 140 1. Review of literature regarding the work done 2. Analytical design of CVT. 3. Manufacturing and assembly of the Actual testing set-up. 4. Perform experimental testing on CVT with different Performance Characteristics. 5. Result and Discussion. 3. ANALYTICAL ANALYSIS 3.1 Design of Input Cone and Output Cone Material Designation Tensile Strength (N/mm ) Yield Strength (N/mm) EN24 800 680 fs max = 0.18 fult = 0.18 x 800 = 144 N/mm2 OR fs max = 0.3 fyt =0.3 x 680 = 204N/mm2 Considering minimum of the above values;  fs max = 144 N/mm2 This is the allowable value of shear stress that can be induced in the shaft material for safe operation. Fig.2 FEA analysis of input and output cone 3.2 Design of Ball Holder Material Designation Tensile Strength (N/mm ) Yield Strength (N/mm) EN9 600 480 Force in compression is owing to radial force caused by the rotating ball Given by F = T/r = 13791/35 =394 N fc act = A W fc act = 1.25 N/mm2 As fc act < fc all; Ball holder is safe in compression. Fig.3 FEA analysis of ball holder 3.3 DESIGN OF SPEED CHANGING KNOB T= 100 x 35 = 3500 N-mm  fs max = 130 N/mm2 Check for torsional shear failure:- T =  x fs act x Do 4 – Di 4 16 Do 3500 =  x fs act x 48 4 – 36 4 16 48  fs act =0.235 N/mm2 As; fs act < fs all Knob is safe under torsional load
  • 3. International Journal of Engineering and Techniques - Volume 2 Issue 3, May – June 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 141 Fig.3 FEA analysis of speed changing knob 4. ANALYTICAL RESULTS: The maximum torque is given by the formula: T = m* ω * RCG *D Where, T : Maximum torque (N-m) M : Masse (kg) ω : Angular acceleration (m/s) RCG : Radius of offset mass D : Radius of lobe TABLE 1: ANALYTICAL RESULTS Sr. No Speed (rpm) Angular Speed Torque (N-m)W W2 1 2000 209.43 43864 0.28 2 1875 196.34 38553.14 0.24 3 1545 161.79 26176 0.17 4 1390 145.56 21187.85 0.14 5 1250 130.89 17134.7 0.13 6 1030 107.86 11633 0.72 7 830 86.91 7554.63 0.46 8 750 78.53 6168.5 0.38 9 660 69.11 4776.88 0.297 10 595 62.30 3882.31 0.234 5. EXPERIMENTAL RESUITS The Following test results will be derived from Test and Trial method On CVT TABLE2: EXPERIMENTAL RESULT Sr No. Load (gms) Speed Rpm Torque (n-m) Power efficiency 1 120 2000 0.047088 9.8633664 56.36209 2 170 1875 0.066708 13.099784 74.85591 3 220 1545 0.086328 13.968993 79.82282 4 270 1390 0.105948 15.423839 88.13622 5 320 1250 0.125568 16.438944 93.93682 6 370 1030 0.145188 15.662204 89.49831 7 420 830 0.164808 14.32654 85.78766 8 470 750 0.184428 14.486819 82.78183 9 520 660 0.204048 14.104614 80.59779 10 570 595 0.223668 13.93817 79.64668 6. SUMMARY OF RESULT The result correlation summarized as show in table TABLE3: SUMMARY OF RESULT CORRELATION Sr. No Speed Analytical Results Torque (N-m) Experimental results Torque (N-m) % error 1 1875 0.2339 0.066708 4 2 1390 0.13 0.105948 3 3 1545 0.16 0.086328 7 The error in prediction of IVT by theoretical analysis is the range of 3 to 4% and experimental analysis 5 to 20%. The propose method is confirmed by the comparing it with result of FEA and Experimental result. This is an in well agreement the acceptable limit ±10%. The following test results will be derived from the test and trial on CVT Drive 1] Torque Vs Speed Characteristics:
  • 4. International Journal of Engineering and Techniques - Volume 2 Issue 3, May – June 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 142 Above graph shows torque Vs speed characteristic. As speed increases torque decreases. At low speed torque is high. 2] Power Vs Speed Characteristic At low speed torque is high power is increases with decrease in speed which is inversely varies with speed. When speed ranges in 1000 rpm it slowly decreases and after that speed increases power decreases suddenly. 3] Efficiency Vs Speed Characteristics At low speed efficiency is high and a speed increases efficiency decrease which is inversely varies with speed. 7. CONCLUSION Power transmission system is very important in industril application.To carry out various production work at various speed e require the stepless, shockless speed variation. Therefore it is necessary to design and develop the power transmission system in compact size, most efficient withminimum cost. The error in prediction of torque converter by theoretical analysis is in the range of 3 % to 15% and experimental analysis it is the range of 5 % to 20 %. The proposed method is confirmed by comparing it with results of FEA results and experimental results.The proposed method is foundto be simple and accurate.The CVT is newly concept in Light and Medium vehicle on automobile industries is development research they are torque convertor in various masses with different input speed to very output speed to give the more Transmissions, Methods, Assemblies, Subassemblies and efficient in output power. From graphs shows that the low speed power, torque Efficiency increases and decrease as speed increases which is inversly proportional with speed. 0.047 0.066 0.086 0.105 0.125 0.145 0.164 0.184 0.204 0.223 0 0.05 0.1 0.15 0.2 0.25 20 001 87 51 54513 901 25 01 0308 30 7 50 65 0 5 96 TORQUE(n-m) speed (rpm) TORQUE VS SPEED Torque (N-m) 9.86 13 13.96 15.42 16.4315.66 14.3214.4814.113.93 0 5 10 15 20 20 001 8751 5451 39 0125 0103 0 830 750 65 0 59 6 POWER(WATT) speed (rpm) POWER VS SPEED POWER (W) 56.36 74.8579.82 88.13 93.9389.4985.7882.7880.5979.64 0 20 40 60 80 100 2 0001 8751 54513 9012 5010 30 8 30 7 50 6 50 5 96 EFFICIENCY(%) speed (rpm) EFFICIENCY VS SPEED Efficiency (%)
  • 5. International Journal of Engineering and Techniques - Volume 2 Issue 3, May – June 2016 ISSN: 2395-1303 http://www.ijetjournal.org Page 143 7. REFERENCE [1] Ryan R. Dalling, An Investigation of Positive Engagement Continuously Variable Transmissions, Brigham Young University, 2008 -2009. [2] H Ghariblu, A.Behroozirad, Madandar, Traction and Efficiency Performance of Ball Type CVTs, International Journal of Automotive Engineering,Volume 2, 2014, 739- 748 [3] Lohr,Charles,Stevenson, Gregory, Infinite Variable Transmissions, Methods, Assemblies, Subassemblies and Components, Patent Application Publication, 2009 [4] Timothy Cyders , Robert L. Williams, Analysis of a new form of intrinsically automatic contineously variable transmission, International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, August 15-18, 2010 [5] Wisam M. Abu-Jadayil , Mousa S. Mohsen, Design and Manufacturng of Self Actuating Traction Drives with Solid and Hollow Rollers, Jordan Journal of Mechanical and Industrial Engineering,Volume4, Pages 467 – 476 [6] Carter, J., and Miller, D., “The Design and Analysis of An Alternative Traction Drive Cvt, SAE Paper 2003-01-0970, 2003. [7] Richard J. Parker, Stuart H. Loewenthal, Design Studies of Continuously Variable Transmissions for Electric Vehicles,National Aeronautics and Space Administration Lewis Research Center, February 23-27, 1981 [8] Wisam M. Abu-Jadayil , Mousa S. Mohesan, Design and Manufacturing of Self Actuating Traction Drives with Solid and Hollow Rollers, Department of Mechanical Engineering, The Hashemite University, Zarqa, 13135 [9] Jordan. Edward Tibbals, Single ball Traction Drive Assembly, United States Patent, Patent No. 4700581 [10] Peter Milner,Yukiharu Hosoi , Investigation and Testing Of Performance of Rolling Traction Drive CVT, Society of Automotive Engineers, Inc. [11] Brad Pohl, Matthew Simister, Robert Smithson, Don Miller,Configuration Analysis of a Spherical Traction Drive CVT/IVT, SAE Paper, 2004 . [12] Kunal s. Marathe, Vishnu d.wakchaure,” Speed Ratio prediction and performance Analysis of Single Ball TractionDrive for CVT”,International Journal of Engineering Reasearch and Applications,Vol.4, June 2014,pp.189