Gear Geometry and Applied Theory Episode 2 Part 6 ppsx
Gear Geometry and Applied Theory Episode 2 Part 6 ppsx
... 3D-space.
Worm
Helical gear
Figure 16. 1 .2: Gear drive formed by a worm and a helical
gear.
P1: GDZ/SPH P2: GDZ
CB6 72- 15 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 0:44
1
2
3
Figure 15.9.1: Whole gear drive ... arctan
tan α
pn
cos β
p1
= 34 .61 43
◦
α
pt 2
= arctan
tan α
pn
cos β
p2
= 32. 3 122
◦
.
P1: JTH
CB6 72- 16 CB6 72/ Litvin CB6 72/ Litvin-v2....
Gear Geometry and Applied Theory Episode 2 Part 1 pot
... system.
P1: FHA/JTH
CB6 72- 10 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 0:19
10.8 Contact Ratio 29 3
Thus,
l = KB
2
+ B
1
L − KL =
r
2
a1
−r
2
b1
1
2
+
r
2
a2
−r
2
b2
1
2
− E sin α (10.8.5)
or
l ... φ
2
=−r
a2
sin
w
a2
2r
a2
r
ac
cos(φ
c
− φ
2
+ ) + E
c
cos φ
2
= r
a2
cos
w
a2
2r
a2
(11.3.8)
P1: JTH
CB6 72- 11 CB6 72/ Litvin CB6 72/ Litv...
Gear Geometry and Applied Theory Episode 2 Part 2 doc
... ( 12. 2.4)
Equations ( 12. 2.1), ( 12. 2.3), and ( 12. 2.4) yield
tan µ
1
=−
m
12
(φ
1
) ± 1
m
12
(φ
1
)
( 12. 2.5)
tan µ
2
=±
m
12
(φ
1
) ± 1
m
12
(φ
1
)
. ( 12. 2 .6)
Here, m
12
= (∂/∂φ
1
)[m
12
(φ
1
)].
Function ... teeth
Axial 25 ≤ N
2
≤ 31 N
c
≤ 0.82N
2
− 3 .20
α
c
= 20
◦
Axial 32 ≤ N
2
≤ 20 0 N
c
≤ 1.004N
2
− 9.1 62
Two-parameter 36 ≤ N
2
≤ 20...
Gear Geometry and Applied Theory Episode 2 Part 3 pot
... equation
r
t
(θ
2
,φ
2
) = M
t2
(φ
2
)r
2
(θ
2
), (13 .6. 5)
which yields
θ
2
≥ 90
◦
,φ
2
= 2( θ
2
− 90
◦
)
x
t
=−r
2
(φ
2
− sin φ
2
) +ρ
2
sin(θ
2
− φ
2
)
y
t
=−r
2
(1 −cos φ
2
) −ρ
2
cos(θ
2
− φ
2
).
(13 .6. 6)
Axis ... 12. 12. 1, we have
α
12
(θ
1
) = µ
1
(θ
1
) +α
c
−
π
2
. ( 12. 12. 1)
Figure 12. 12. 1: Pressure angle of noncircular gears.
P1: G...
Gear Geometry and Applied Theory Episode 2 Part 4 pdf
... 14.3.3):
x
2
= r
b2
cos(θ
2
− η
2
) + u
2
cos λ
b2
sin(θ
2
− η
2
)
y
2
=−r
b2
sin(θ
2
− η
2
) + u
2
cos λ
b2
cos(θ
2
− η
2
)
z
2
= u
2
sin λ
b2
− p
2
θ
2
(14.3.15)
n
2
= [sin λ
b2
sin(θ
2
− η
2
) sin ... 14.3.3):
x
2
= r
b2
cos(θ
2
− η
2
) + u
2
cos λ
b2
sin(θ
2
− η
2
)
y
2
= r
b2
sin(θ
2
− η
2
) − u
2
cos λ
b2
cos(θ
2
− η
2
)
z
2...
Gear Geometry and Applied Theory Episode 2 Part 5 pptx
... cases
P1: GDZ/SPH P2: GDZ
CB6 72- 15 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 0:44
15 .2 Axodes of Helical Gears and Rack-Cutters 409
Figure 15 .2. 2: Normal sections of pinion and gear rack-cutters: ... M
ba
[a
c
u
2
c
u
c
01]
T
(15 .2. 7)
P1: GDZ/SPH P2: GDZ
CB6 72- 15 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 0:44
422 Modified Involute Gears
Figu...
Gear Geometry and Applied Theory Episode 2 Part 7 pps
... Pressure
-8.935e+01
+2. 500e+01
+9.553e+01
+1 .66 1e+ 02
+2. 366 e+ 02
+3.071e+ 02
+3.776e+ 02
+4.482e+ 02
+5.187e+ 02
+5.892e+ 02
+6. 598e+ 02
+7.303e+ 02
+8.008e+ 02
+8.714e+ 02
1
2
3
(MPa)
Figure 16. 6.5: Distribution of pressure ... JTH
CB6 72- 16 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 0:51
16. 6 Stress Analysis 469
(Ave. Crit.: 75%)
S, Pressure
-8.180...
Gear Geometry and Applied Theory Episode 2 Part 8 pps
... =
∂r
s
∂u
s
∂r
s
∂θ
s
−v
(2s)
s
∂ f
s2
∂u
s
∂ f
s2
∂θ
s
−
∂ f
s2
∂ψ
s
dψ
s
dt
(18 .6. 4)
has the rank r = 2. Then, we obtain that
2
1
+
2
2
+
2
3
= 0 (18 .6. 5)
P1: JXR
CB6 72- 17 CB6 72/ Litvin CB6 72/ Litvin-v2.cls ... v
(w1,s
w
)
w
= 0. (17.7. 12)
P1: JXR
CB6 72- 18 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 1:5
522 Face -Gear Drives
equa...
Gear Geometry and Applied Theory Episode 2 Part 9 pps
... P1: JsY
CB6 72- 19 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 1 :28
19 .2 Pitch Surfaces and Gear Ratio 551
Figure 19 .2. 2: Velocity polygon for right-
hand worm -gear drive.
Figure 19 .2. 3: Operating ... pitch cylinders
for left-hand worm -gear drive.
P1: JsY
CB6 72- 19 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 1 :28
19 .2 Pitch Surfaces and Ge...
Gear Geometry and Applied Theory Episode 2 Part 10 doc
... upper and lower signs correspond to the generation of a right-hand worm and
left-hand worm, respectively.
P1: JsY
CB6 72- 19 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 1 :28
566 Worm -Gear ... d
sin α sin λ
p
(cos
2
α + sin
2
α sin
2
λ
p
)
0.5
(19.5 .20 )
where
d = r
p
−
s
p
2
cot α.
P1: JsY
CB6 72- 19 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 1...
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