圓筒蝸桿蝸輪相關資料的整理 - · PDF file根據jis b 1723 標準規定,
Transcript of 圓筒蝸桿蝸輪相關資料的整理 - · PDF file根據jis b 1723 標準規定,
AMX QA
1/37
(worms & worm gears)
..90.(),,()., ()., zP . JIS B 1723 ,. 1 :. 2 :. 3 :(),() (,),. 4 :. ,3 . 3 n , n o .
JIS ,3 xm 20=o .
,. xm R10 ,.
1 1.25 1.60 2.00 2.50 3.15 4.00 5.00
6.30 8.00 10.00 12.50 16.00 21.00 25.00 ,. (). (). . , nm .
,(),. ,(),,.
()
AMX QA
2/37
zmPmP
mm
xz
xx
nx
nx
==
=
=
costan
tan
cos
1
coszm
P
mP
m
nz
nn
n
n
=
=
tan
sintan
tan
sin
1
zmPmP
mm
tz
tt
nt
nt
==
=
=
()
, ( )90 .,, , ( )90. xm ,
20=n ..
(1) (2)
1 xm 3
2 n (20)
3 . z
30(R)
4 2
1
dd
x
x
mzQm
2
)( 1 44.000 90.000
5
1
11tand
zmx 7.76517
6 2tx 0
7 a xt mxdd
++
221
267.000
8 2
1
a
a
hh
( ) xtx
mxm
200.100.1
+ 3.000 3.000
9 h xm25.2 6.750
10 2
1
a
a
dd
xa
a
mhdhd
+++
22
11
22
2 50.000 99.000
11 td 22 2 ahd + 96.000
AMX QA
3/37
12 ir 112 ah
d 19.000
13 2
1
f
f
d
d
hdhd
t
a
221
36.500 82.500
1. Q
1d xm ,xm
dQ 1= .
2. 2ad . 3.() 1b
( )21 02.05.4 zmb x + . 4.
12 += Qmb x ,, xmbb 5.12 + .
nm ,
20=n .
(1) (2)
1 nm 3
2 n (20)
3 . z 30(R) 4 1d
44.000
5
1
11sind
zmn 7.83748
6 2d cos2 nmz 90.8486
7 2nx -0.1414
8 a nn mxdd
++
221
267.000
9 2
1
a
a
hh
( ) nnn
mxm
200.100.1
+ 3.000 2.5758
10 h nm25.2 6.75
11 2
1
a
a
dd
na
a
mhdhd
+++
22
11
22
50.000 99.000
AMX QA
4/37
12 td 22 2 ahd + 96.000
13 ir 112 ahd 19.000
14 2
1
f
f
d
d
hdhd
t
a
221
36.500 82.500
,,(Crowning). ,,. . (a) ,. ,,. ,,,. ,,,. (b) (h) ,,,h ,h .,,.,,,.. (c) ,,, .,. ,(a),(b)(c). (d) ,.
AMX QA
5/37
,,,. xxxx PP = coscos
x x ,, xP.
, x xP .
,.
2
1dP
PPk
x
xx
: 1d : k : ..
k
x 14.5 17.5 20 22.5
k 0.55 0.46 0.41 0.375
1 xm 3
2 n 20
3 1z 2
4 1d
:.
44.000
5
1
11tand
zmx 7.765166
6 x
costan
tan 1 n 20.176236
7 xP xm 9.424778
8 zP 1zmx 18.849556
9 RC 0.04 10 k k 0.41
*
11 xP
+ 1
2
1kdC
P Rx 9.466573
AMX QA
6/37
A
1 2
1
t
t
ss
ttt
t
mx
m
+
tan22
2
2
2 () 2vz 32
cosz
3 () 22
2
2
tan36090
v
tt
v zx
z +
4 2
1
ss
sincos
cos1tv
t
mzs
5 2
1
a
a
h
h( )
( )
cos12cos4
cossin
2
1
21
1
+
+
tva
ta
mzh
ds
h 0035.36547.471239.422780.20
97256.8
0000.36538220
3
1
1
1
1
1
1
=
===
=
=====
=
a
t
t
a
t
n
t
hss
hadz
m
0785.43796.534335.3
1288.3144934.50000.43333.0
9030
2
2
2
2
2
2
2
2
2
=
==
===+=
==
a
v
t
a
t
hs
zshxdz
12 n
x
x
x
PP
coscos 1 20.847973
13 xm xP 3.01304
14
1
11tand
zmx 7.799179
15 n ( ) costantan 1 x 20.671494 16 zP 1zmx 18.933146
AMX QA
7/37
1 2
1
n
n
ss
nnn
n
mx
m
+
tan22
2
2
2
() 2vz
32
cosz
3 () 2 2
2
2
tan36090
v
nn
v zx
z +
4 2
1
ss
sin
cos1nv
n
mzs
5 2
1
a
a
h
h
( )
( )
cos12
4sin
2
1
21
1
+
+
nva
na
mzh
ds
h 0036.37124.471239.4
08472.9
0000.36538220
3
1
1
1
1
1
1
=
==
=
=====
=
a
n
a
x
n
n
hss
hadz
m
4958.30218.507964.3
15789.3102419.542835.314278.01433.91
30
2
2
2
2
2
2
2
2
2
=
==
======
a
v
n
a
n
hs
zshxdz
3 , 20=o , n
20 , n ,AGMA().
320
0 sincos90
rrr
z +=
: :r :0r
:1z : 3 ,. (a) ,.
(a)-1
1 pd x
xm
cos2
2 md
++
xp
x
x dm
d
sin
11tan21
3173.35
3.3
3440.303827.20
691386.3
31120
2
1
1
=
=
==
=
===
=
M
d
d
dz
m
p
p
x
n
x
AMX QA
8/37
,,,.,.(a)-2.
(a)-2
1
pd
n
nm
cos2
2 md( )
1
2
1 2sincos
sin11
tan2 dd
dm
d npn
pn
n
++
3344.353.3
3363.399585.1
691386.3
31120
2
1
1
=
=
==
=
===
=
m
p
p
n
n
x
dd
dm
dz
m
(b)
. 3 ,,.
1 vz ( )90cos31z
2 nv
invz
2
31120
2
1
1
===
=
n
x
dz
m
AMX QA
9/37
3
v
nv
zz cos
cos 1
4 +tan
5 pd ( ) +invmz nxv coscos 1: , ().
1: .
2: :
=
sin
tantan 1 nt .
. ,,.,.
1 vz ( )90cos31z
2 nv
invz
2
3
v
nv
zz cos
cos 1
4 +tan
5 pd ( ) +invmz nnv cos
349550020
014420.0792.3241
874288.3
37120
5.2
1
1
==
===
===
=
v
n
n
z
dz
m
1: , ().
1 pd 1
2 inv tnx
p invzzm
d
+
12coscos
3
.
4 md ptx d
mz+
costancos1 3345.35
2959.80446279.4257549.4
96878.79
3.3
==
==
=
=
m
t
p
d
invinv
d
AMX QA
10/37
1 pd 1
2 inv tnn
p invzzm
d
+
11 2cos
3
.
4 md ptn d
mz+
costancos1 6897.42
8947.79216536.4999514.3
48331.79
2.4
==
==
=
=
m
t
t
p
d
invinv
d
1: .
2: :
=
sin
tantan 1 nt
,.,., tj , nj , rj )(j .
tj nj
rj tj
1 costn jj = tan2t
rj
j =
2 coscos nttnn jj = t
ttr
jj
tan2=
3 costn jj = sintan2t
rj
j =
4 mnttnn jj coscos= sintan2 ttt
rj
j =
sincos nttnn jj = 5
coscos2 nttnn jj = xtt
rj
jtan2
2=
.
d
jj t =360 ()
AMX QA
11/37
:
=
==
1
2
2
1
tan
cossin
tt
tt
tttn
tttn
jj
jjjj
:
=
=
t
ttr
tttnt
jj
jj
tan2
cos
1