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Ex.6-13 ： (1) ZV1 不要圆整

Ex.6-13 ： (1) ZV1 不要圆整. (2) da d1+2ha*m (3) hf=1.2m 1.2 1.25m (4).

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Ex.6-13 ： (1) ZV1 不要圆整

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  1. Ex.6-13：(1) ZV1不要圆整 (2) dad1+2ha*m (3) hf=1.2m 1.2 1.25m (4)

  2. Ex.7-1 Shown below is a hoist. The teeth numbers of all the gears are: Z1=20, Z2=50, Z2’=15, Z3=30, Z3’=1, Z4=40, Z4’=18, Z5=52. Find the train ratio i15 and point out the rotating direction of the handle to raise the weight.

  3. 各轮转向标注在图上

  4. 常见错误： 1、蜗杆蜗轮间相对转动方向错误或漏标！ 2、齿数比前不能加正负号！

  5. Ex.7-2 Shown below is the gear train in a clock. S, M and H denote the pointers of second, minute and hour, respectively. The given numbers of teeth are Z1=Z2’=8, Z2=64, Z3’=12, Z4’=15. If the modules of gear 4 and gear 5 are equal, find the numbers of teeth Z3, Z4, and Z5.

  6. Solution: (1)

  7. (2) (1)(2)联立得

  8. 常见错误：

  9. Ex.7-3 Shown below is a gear train in which gear 3 engages with gears 2 and 4 simultaneously. What kind of gear train is it? If Z1=34, Z2=Z3=20, and Z4=74, find the train ratio i1H.

  10. n4＝0

  11. 常见错误： 错将此行星轮系当成复合轮系

  12. Ex.7-4 Shown below is a differential gear train with Z1=15, Z2=25, Z2’=20, Z3=60, n1=200 r/min, n3=50 r/min. Find both the magnitude and the direction of nH when (1)n1 and n3 are in the same direction;(2) n1 and n3 are in the opposite directions.

  13. (1)n1 and n3 are in the same direction H与1、3同向

  14. Suppose n1=+200rpm, n3=-50rpm, (1)n1 and n3 are in opposite directions H与3同向, 与1反向

  15. 错误：当n1与n3同向时， 当n1与n3反向时，

  16. Ex.7-5 In the combined gear train shown below, Z1=36, Z2=60, Z2’=23, Z3=49, Z3’=69, Z4=31, Z5=131, Z6=94, Z7=36, Z8=167, n1=3549 r/min. Find both the magnitude and the direction of nH. Solution: 1. Dividing the gear train

  17. 定轴轮系，串联行星轮系，再串联行星轮系

  18. Ex.7-6 In the combined gear train shown below, Z1=20, Z2=25, Z3=15, Z1’=30, Z4=70, Z4’=60, nH=110 r/min. Find both the magnitude and the direction of n1.

  19. 用定轴轮系去约束差动轮系。

  20. Ex.7-7 In the combined gear train shown below, Z1= Z5= Z6=17, Z2=18, Z2’=27, Z3=34, Z4=51. n1=110 r/min. Find both the magnitude and the direction of n6. Solution: 1. Dividing the gear train

  21. 用行星轮系去约束差动轮系。

  22. 常见错误：两个基本周转轮系的系杆是不一样的。共用同一代号H引起混淆。常见错误：两个基本周转轮系的系杆是不一样的。共用同一代号H引起混淆。

  23. 常见错误： 1-2-2’-3 不是定轴轮系！! 正负号的判断！

  24. Ex.7-8 Shown below is a gear train with Z1=16, Z2= Z2’ =25, Z3=57, Z4=56. Find the train ratio i14. Solution: 1. Dividing the gear train

  25. They are two planetary gear trains in series (串联).

  26. 常见错误：1、齿数比前面的正负号。 2、 3、 4、

  27. 7-8. Shown in Fig.7-18 is the gear train in a clock. S, M and H denote the pointers of second, minute and hour, respectively. The given numbers of teeth are Z1=Z2’=8, Z2=64, Z3’=12, Z4’=15. If the modules of gear 4 and gear 5 are equal, find the numbers of teeth Z3, Z4, and Z5.

  28. Solution: (1)

  29. (2) (1)(2)联立得

  30. 常见错误：

  31. 7-9. Shown in Fig.7-19 is a differential gear train with Z1=15, Z2=25, Z2’=20, Z3=60, n1=200 r/min, n3=50 r/min. Find nH when（1）n1 and n3 are in the same direction; (2) n1 and n3 are in the opposite directions.

  32. Solution:此轮系为一差动轮系 (1) When n1 and n3 are in the same direction： H的转速为75r/min,方向与轮1转向相同。

  33. Solution:此轮系为一差动轮系 (2) Whenn1 and n3 are in the opposite directions. H的转速为8.33r/min,方向与轮1转向相反。

  34. 常见错误1：

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