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-- 2010-06-09
General Cylindrical Worm basic dimensions and parameters are listed in the table below. Design of general cylindrical worm reducer device, the strength or bending strength by contact with the center distance a determined or m2d1, the general should be in the table data to determine the size of worm and worm wheel and parameters, according to Table 2 values to match.
Table 2: General Cylindrical Worm Drive Worm basic dimensions and parameters and the matching parameters
Center distance
a
(Mm)
Modulus
m
(Mm)
Pitch circle diameter
d1
(Mm)
m2d1
(Mm3)
Worm Head
z1
Diameter coefficient
q
Pitch circle lead angle γ
(O)
Worm teeth
z2
Coefficient
x2
40
50
A
18
18
A
18.00
3o10'47''
62
0
40
1.25
20
31.25
A
16.00
3 o 34'35''
49
-0.500
50
63
22.4
35
17.92
3 o 11'38''
62
82
+0.040
+0.440
50
1.6
20
51.2
A
12.50
4 o 34'26''
51
-0.500
2
9 o 05'25''
4
17 o 44'41''
63
80
28
71.68
A
17.50
3 o 16'14''
61
82
+0 .. 125
+0.250
40
(50)
(63)
2
22.4
89.6
A
11.20
5 o 06'08''
29
(39)
(51)
-0.100
(-0.100)
(+0.400)
2
10 o 07'29''
4
19 o 39'14''
6
28 o 10'43''
80
100
35.5
142
A
17.75
3 o 13'28''
61
82
+0.125
50
(60)
(80)
2 .. 5
28
175
A
11.20
5 o 06'08''
25
(39)
(53)
-0.100
(+0.100)
(-0.100)
2
10 o 07'29''
4
19 o 39'14''
6
28 o 10'43''
100
45
281.25
A
18.00
3 o 10'43''
62
0
63
(80)
(100)
3.15
35.5
352.25
A
11.27
5 o 04'15''
29
(39)
(53)
-0.1349
(+0.2619
(-0.3889)
2
10 o 03'48''
4
19 o 32'29''
28 o 01'50''
6
1.25
56
555.66
A
17.118
3 o 13'10''
62
-0.2063
80
(100)
(125)
4
40
640
A
10.00
5 o 42'38''
31
(41)
(51)
-0.500
(-0.500)
(+0.750)
2
11 o 18'36''
4
21 o 48'05''
6
30 o 57'50''
160
71
1136
A
17.75
3 o 13'28''
62
+0.125
100
(125)
(160)
(180)
5
50
1250
A
10.00
5 o 42'38''
30
(41)
(53)
(61)
-0.500
(-0.500)
(+0.500)
(+0.500)
2
11 o 18'36''
4
21 o 48'05''
6
30 o 57'50''
200
90
2250
A
18.00
3 c 10'47''
62
0
1.25
(160)
(180)
(200)
6.3
63
2500.47
A
10.00
5 o 42'38''
31
(41)
(48)
(53)
-0.6587
(-0.1032)
(-0.4286)
(+0.2460)
2
11 o 18'36''
4
21 o 48'05''
6
30, o 57'50''
250
112
4445.28
A
17.778
3 o 13'10''
61
+0.2937
1660
(200)
(225)
(250)
8
80
5120
A
10.00
5 o 42'38''
31
(41)
(47)
(52)
-0.500
(-0.500)
(-0.375)
(+0.250)
2
11 o 18'36''
4
21 o 48'05''
6
30 o 57'50''
Note: 1) This table lead angle γ is less than 3 o 30 'columns are self-locking worm worm.
2) the parameters in brackets does not apply to worm the first few z1 = 6 时.
3) This table is taken from GB10085-88.
Geometry of worm transmission and the calculation formula shown in Figure 1 and Table 3 Table 4.
Figure 1, the basic common cylindrical geometry of worm drive
Figure 2: Common Cylindrical Worm Drive
Table 3 Common Cylindrical Worm Drive basic geometric dimensioning relationship
Name
Generation No.
Calculated relationship
Explain
Center distance
a
a = (d1 + d2 +2 x2m) / 2
Select the required
Worm Head
z1
Select the required
Worm Gear
z2
Transmission ratio determined by
Profile angle
a
aa = 20 o or aa = 20o
Determined by the type of worm
Modulus
m
m = ma = mn / cosγ
Select the required
Drive ratio
i
i = n1/n2
Worm is active, select the required
Gear ratio
u
u = z2/z1 When the worm is aggressive, i = u
Worm coefficient
x2
x2 = a/m- (d1 + d2) / 2m
Worm diameter coefficient
q
q = d1 / m
Worm axial pitch
pa
pa = πm
Worm Lead
pz
pz = πm z1
Worm pitch circle diameter
d1
d1 = mq
Select the required
Addendum circle diameter of worm
da1
da1 = d1 +2 ha1 = d1 +2 ha * m
Worm tooth root diameter
df1
df1 = df-2hf1 = d1-2 (ha * m + c)
Headspace
c
c = c * m
Required
Involute base circle diameter of worm
db1
da1 = d1 · tgγ / tgγb = mz1 / tgγb
Worm tooth crown heights
ha1
ha1 = ha * • m = 1 / 2 (da1-d1)
Required
High worm tooth
hf1
hf1 = (ha + c *) = 1 / 2 (d1-df1)
Worm tooth
h1
h1 = ha1 + hf1 = 1 / 2 (da1-df1)
,
Worm lead angle
γ
Tgγ = m z1 / d1 = z1 / q
Base circle of involute worm lead angle
γb
cosγb = cosγcosαn
Worm tooth width
b1
Table 4
Determined by the design
Worm pitch circle diameter
d2
d2 = m z2 = 2a-d1-2 x2m
Throat diameter worm
da2
da2 = d2 +2 ha2
Worm gear tooth root diameter
df2
df2 = d2 +2 hf2
Worm Gear high top
ha2
Ha2 = 1 / 2 (da2-d2) = m (ha * + x2)
High worm tooth
hf2
hf2 = 1 / 2 (d2-df2) = m (ha *- x2 + c *)
High worm gear
h2
h2 = ha2 + hf2 = 1 / 2 (da2-df2)
Mother Worm throat radius
rg2
rg2 = a-1 / 2 da2
Worm Gear width
b2
Determined by the design
Wide-angle worm gear
θ
θ = 2arcsin (b2/d1)
Worm axial tooth thickness
sa
sa = 1/2πm
Worm normal tooth thickness
sn
sn = sacosγ
Worm tooth thickness
st
Department of worm axial pitch by alveolar width ea 'OK
Worm pitch diameter
d1 '
d1 '= d1 +2 x2m = m (q +2 x2)
Worm pitch diameter
d2 '
d2 '= d2
Table 4 worm width B, the top diameter de2 and worm formula b1 tooth width
z1
B
de2
X2
b1
1
≤ 0.75da1
≤ da2 +2 m
0
-0.5
-1.0
0.5
1.0
≥ (11 +0.06 z2) m
≥ (8 +0.06 z2) m
≥ (10.5 + z1) m
≥ (11 +0.1 z2) m
≥ (12 +0.1 z2) m
When the coefficient X2 is the middle value, b1 get close to the two formula X2 value is greater demand.
The grinding worm, press the left-type length of the request should add the following values:
When m <10mm, the increase of 25mm
When m = 10 ~ 16mm, the increase of 35 ~ 40mm;
When m> 16mm, the increase of 50mm
2,
≤ da2 +1.5 m
4
≤ 0.67da1
≤ da2 + m
0
-0.5
-1.0
0.5
1.0
>= (12.5 +0.09 z2) m
>= (9.5 +0.09 z2) m
>= (10.5 + z1) m
>= (12.5 +0.1 z2) m
>= (1, 3 +0.1 z2) m
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