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AEV 510: Intro to Advanced Electrified Vehicles Group Project Carlos Ayala, Hsiao-an Hsieh,  Ruichen Jin, Mark Vogel February 25 th , 2011
Question 1:   Is the number of teeth count for various gears given above by manually counting the # of teeth in the website picture mathematically consistent ? Why or why not ?  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
  Question 2, 1 : Fill up the blank cells in the tables below using the animation in the above website and/or the text book information (Ch 5, 7, 8). You can use any reasonable numbers which may be satisfactory.
  Question 2,2:  Fill up the blank cells in the tables below using the animation in the above website and/or the text book information (Ch 5, 7, 8). You can use any reasonable numbers which may be satisfactory.  TABLE 2 MG1 ICE MG2   Sun (speed) Sun (torque) Planetary (Speed) Planetary (torque) Ring (speed) Ring (torque) Mode (Propulsion/ Regen) TOTAL PWR IN UNIT MPH Comments 1 1300 -148.077 0 -533.077 -500 -385 Propulsion 0 -9   2 2600 148.0769 0 533.0769 -1000 385 Regen 0 -17   3 -1300 148.0769 0 533.0769 500 385 Propulsion 0 9   4 -2600 -148.077 0 -533.077 1000 -385 Regen 0 17   5 19000 148.0769 6000 533.0769 1000 385 Propulsion N/A N/A OUT IF ICE RANGE 6 12800 -35.5639 5000 128.03 2000 -92.4661 Regen 0 34 ICE & MG1 out of range 7 6600 -40.4722 4000 145.7 3000 -105.228 Propulsion 0 51 MG1 out of range REGEN 8 400 -43.3472 3000 156.05 4000 -112.703 Regen 0 68 1000 RPM MG1 NOT FAESIBLE 9 -5800 -41.1389 2000 148.1 5000 -106.961 Propulsion 0 85 REGEN  10 -12000 -34.5 1000 124.2 6000 -89.7 Regen 0 102 MG1 out of range
Question 2-3:  If you think there is some problem with this website animation software, explain why.  The equations in the text and those we derived are more important and are valid, even if you think the animation may not be working perfectly . ,[object Object]
Question 2,4: Use the equations in chapter 5 (related to torque and speed coupling) in the text, evaluate the constants k1, k2 (eqn. 5.4) etc. which applies to this gear set in the animation, and show that the speeds of the 3 gears (sun, ring, planetary) are indeed linearly related.  ig=N2/N1=78/30=2.6 k1=1/(1+ig)=0.278 k2=ig/(1+ig)=0.722 The governing equation for the speed of the 3 gears (or rotating components), w1, w2, and w3 is given by w3  =  k1 * w1  +  k2 * w2 Since the highest power for all three variables are of the first order, therefore, it can be said that the three speeds w1, w2, and w3 are indeed linearly related., per the adjacent  graphs.
Question 2,5: Can this gear set be used in torque coupling mode, explain why or why not ?  ,[object Object]
Question 2,6: Can you consider this device to be a CVT (continually variable transmission) – explain why or why not and indicate how you can achieve this CVT function.  A standard CVT uses variable (change continuously) gear ratio "R3/R1" to achieve a smooth and continuous  Speed Ratio , w3/w1.  In a planetary device given by the equation w3  =  k1 * w1  +  k2 * w2 When considering the input and output being w1 and w3, while the gear components k1 and k2 may have been fixed, one can essentially vary the value of w2 to achieve a smooth and continuous  Speed Ratio  w3/w1 .  Therefore this device can be considered to be a CVT.

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AEV 510 Group Project 2 23 2011

  • 1. AEV 510: Intro to Advanced Electrified Vehicles Group Project Carlos Ayala, Hsiao-an Hsieh, Ruichen Jin, Mark Vogel February 25 th , 2011
  • 2.
  • 3. Question 2, 1 : Fill up the blank cells in the tables below using the animation in the above website and/or the text book information (Ch 5, 7, 8). You can use any reasonable numbers which may be satisfactory.
  • 4. Question 2,2: Fill up the blank cells in the tables below using the animation in the above website and/or the text book information (Ch 5, 7, 8). You can use any reasonable numbers which may be satisfactory. TABLE 2 MG1 ICE MG2   Sun (speed) Sun (torque) Planetary (Speed) Planetary (torque) Ring (speed) Ring (torque) Mode (Propulsion/ Regen) TOTAL PWR IN UNIT MPH Comments 1 1300 -148.077 0 -533.077 -500 -385 Propulsion 0 -9   2 2600 148.0769 0 533.0769 -1000 385 Regen 0 -17   3 -1300 148.0769 0 533.0769 500 385 Propulsion 0 9   4 -2600 -148.077 0 -533.077 1000 -385 Regen 0 17   5 19000 148.0769 6000 533.0769 1000 385 Propulsion N/A N/A OUT IF ICE RANGE 6 12800 -35.5639 5000 128.03 2000 -92.4661 Regen 0 34 ICE & MG1 out of range 7 6600 -40.4722 4000 145.7 3000 -105.228 Propulsion 0 51 MG1 out of range REGEN 8 400 -43.3472 3000 156.05 4000 -112.703 Regen 0 68 1000 RPM MG1 NOT FAESIBLE 9 -5800 -41.1389 2000 148.1 5000 -106.961 Propulsion 0 85 REGEN 10 -12000 -34.5 1000 124.2 6000 -89.7 Regen 0 102 MG1 out of range
  • 5.
  • 6. Question 2,4: Use the equations in chapter 5 (related to torque and speed coupling) in the text, evaluate the constants k1, k2 (eqn. 5.4) etc. which applies to this gear set in the animation, and show that the speeds of the 3 gears (sun, ring, planetary) are indeed linearly related. ig=N2/N1=78/30=2.6 k1=1/(1+ig)=0.278 k2=ig/(1+ig)=0.722 The governing equation for the speed of the 3 gears (or rotating components), w1, w2, and w3 is given by w3 = k1 * w1 + k2 * w2 Since the highest power for all three variables are of the first order, therefore, it can be said that the three speeds w1, w2, and w3 are indeed linearly related., per the adjacent graphs.
  • 7.
  • 8. Question 2,6: Can you consider this device to be a CVT (continually variable transmission) – explain why or why not and indicate how you can achieve this CVT function. A standard CVT uses variable (change continuously) gear ratio "R3/R1" to achieve a smooth and continuous Speed Ratio , w3/w1. In a planetary device given by the equation w3 = k1 * w1 + k2 * w2 When considering the input and output being w1 and w3, while the gear components k1 and k2 may have been fixed, one can essentially vary the value of w2 to achieve a smooth and continuous Speed Ratio w3/w1 . Therefore this device can be considered to be a CVT.