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Three-Speed Gear Transmission Design | Calculation of Gears' Teeth & Diameters in Cone Clutch System

Learn about three-speed transmission with synchronizers and cone clutch, calculating gear teeth and diameters based on given parameters.

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Three-Speed Gear Transmission Design | Calculation of Gears' Teeth & Diameters in Cone Clutch System

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  1. Gear Train

  2. Three-Speed Transmission

  3. Synchronizers cone clutch f Before the teeth can engage, the cone clutch engages first, which brings the selector and gear to the same speed using friction.

  4. First Gear

  5. Second Gear

  6. Third Gear (Direct Gear)

  7. Shown below is a three- speed transmission. Gears 4,5 and 6 are free to spin about their shaft, while gears 3,7,8,9,10 and 11 are keyed to their respective shafts. Gear 10 is an idler gear whose centre is not in line with those of gears 6 and 11. C1 and C2 are synchronizers that fix one gear to the shaft each time, so power is transmitted from the input shaft to the output shaft. Idler gear 10: reverses the direction of rotation without changing the gear ratio

  8. Assume the following parameters: • All gears have a diametral pitch p=12 • center –to –center distance between input shaft and counter shaft C=4 in • approximate speed ratios • first gear e1=0.2, second gear e2=0.51, third gear e3=1, reverse er=-0.22 • idler gear: number of teeth =16, pitch diameterD10= D6/3, centre- to centre distance C10/11=2 in

  9. Questions: • Calculate the gears’ teeth number • Calculate the gears’ diameters

  10. Solution: • Because all gears are to have the same module and meshing gears must share a common center –to –center distance, r is pitch radius d is pitch diameter

  11. We know that the relationship between the number of teeth and the pitch diameter is where P is the diametral pitch. The first gear speed ration is (1)

  12. The second gear speed ration is (2) The reverse gear speed ration is (3)

  13. From (1), (2), (3),we can get:

  14. Calculate gear diameters

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