Gear Train. Three-Speed Transmission Synchronizers cone clutch f Before the teeth can engage, the...
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Transcript of Gear Train. Three-Speed Transmission Synchronizers cone clutch f Before the teeth can engage, the...
Gear Train
Three-Speed Transmission
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.
First Gear
Second Gear
Third Gear (Direct Gear)
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
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
drive
driven
wew
1in
Questions:
(1)Calculate the gears’ teeth number
(2)Calculate the gears’ diameters
Solution:Because all gears are to have the
same module and meshing gears must share a common center –to –center distance,
3 7 4 8 5 9C r r r r r r
3 7 4 8 5 9
2 2 2
d d d d d dC
r is pitch radius
d is pitch diameter
We know that the relationship between the number of teeth and the pitch diameter is
Nd
p where P is the diametral
pitch.
3 7 4 8 5 92 2*12*4 96pC N N N N N N
3 7
4 8
5 9
96
96
96
N N
N N
N N
3 9 7 51
7 5 7 5
(96 )(96 )0.2
N N N Ne
N N N N
The first gear speed ration is
(1)drive
driven
wew
The second gear speed ration is
3 8 7 42
7 4 7 4
(96 )(96 )0.51
N N N Ne
N N N N
(2)
The reverse gear speed ration is
3 10 7 1111
7 10 6 7 6
(96 )* * 0.22rev
N N N NNe
N N N N N
(3)
From (1), (2), (3),we can get:
27
57 7
96 96
0.2 96
NN
N N
27
47 7
96 96
0.51 96
NN
N N
11
76 11
96
0.22
NN
N N
10 6
1010 10 6
66
1
31
3
D D
Nd N N
p
Nd
p
10 16N
6 3*16 48N
10 11 10 1110/11 10 11 2 2
d d N NC r r
p
N
dp
11 10/11 102 48 16 32( )N pC N teeth
117
6 11
27
57 7
27
47 7
9672.18 72
0.22
96 9660
0.2 96
96 9637.9 38
0.51 96
NN teeth
N N
NN
N N
NN teeth
N N
3 7
4 8
5 9
96
96
96
N N
N N
N N
3 7
8 4
9 5
96 96 72 24
96 96 38 58
96 96 60 36
N N teeth
N N teeth
N N teeth
3 7 4 8 5 92 2*12*4 96pC N N N N N N
Nd
p
Calculate gear diameters
33
44
55
66
77
242
12
383.167
12
605
12
484
12
726
12
Nd in
p
Nd in
p
Nd in
p
Nd in
p
Nd in
p
88
99
10 6
1111
584.833
12
363
12
1 41.33
3 332
2.66712
Nd in
p
Nd in
p
d d in
Nd in
p