Gear Geometry and Applied Theory Episode 2 Part 3 pot
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 ... r
2
.
P1: GDZ/SPH P2: GDZ
CB6 72- 12 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 0: 32
12. 11 Evolute of Tooth Pro...
Gear Geometry and Applied Theory Episode 2 Part 1 pot
... 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/ Litvin-v2.cls February 27 , 20 04 0 :24
11 Internal Involute Gears
11.1 ... that
w
a2
= 2r
a2
(q
2
− inv α
a2
) (11 .3. 3)
P1: FHA/JTH
CB6 72- 10 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 0:19
28 8 Spur Involute Gears
F...
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 ... 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 0 N
c
≤ N
2
− 17.6
Axial 17 ≤ N
2
≤ 31 N...
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. 19)
n
2
= [sin λ
b2
sin(θ
2
− η
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
b...
Gear Geometry and Applied Theory Episode 2 Part 5 pptx
... circle of
gear 1 (Fig. 14 .3 .2)
θ, θ
1
, and θ
2
surface parameter of the screw involute surface (Figs. 14 .3 .2
and 14 .3. 3)
φ, φ
1
, and φ
2
angle of gear rotation (Figs. 14.4.1 and 14.5.1)
η
2
half ... section
X
( 12)
f
, Y
( 12)
f
, Z
( 12)
f
components of contact force (Figs. 14.8 .2 and 14.8 .3)
P1: GDZ/SPH P2: GDZ
CB6 72- 15 CB6 72/ Litvin CB6 72/ Litvin-...
Gear Geometry and Applied Theory Episode 2 Part 6 ppsx
... CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 0:44
15.9 Stress Analysis 439
(Ave. Crit.: 75%)
S, Mises
+1.569e+ 03
+4.956e-04
+7.500e+01
+1.500e+ 02
+2. 250e+ 02
+3. 000e+ 02
+3. 750e+ 02
+4.500e+ 02
+5 .25 0e+ 02
+6.000e+ 02
+6.750e+ 02
+7.500e+ 02
+8 .25 0e+ 02
+9.000e+ 02
1
2
3
Bending ... r
p2
π
N
2
= 8. 522 1 mm.
Radii of addendum and dedendum cylinders:...
Gear Geometry and Applied Theory Episode 2 Part 7 pps
... Pressure
-8. 935 e+01
+2. 500e+01
+9.553e+01
+1.661e+ 02
+2. 36 6e+ 02
+3. 071e+ 02
+3. 776e+ 02
+4.482e+ 02
+5.187e+ 02
+5.892e+ 02
+6.598e+ 02
+7 .30 3e+ 02
+8.008e+ 02
+8.714e+ 02
1
2
3
(MPa)
Figure 16.6.5: Distribution ... λ
o2
(16.B.8)
sin
2
γ
o
cos
2
α
on
= cos
2
λ
b1
sin
2
λ
o2
± 2 cos λ
b1
cos λ
b2
sin λ
o1
sin λ
o2
+ cos
2
λ
b2
sin
2
λ
o1
= cos
2
λ
b1...
Gear Geometry and Applied Theory Episode 2 Part 8 pps
... equations
(see Section 3. 4)
cot γ
1
=
m
12
+ cos γ
sin γ
, cot γ
2
=
m
21
+ cos γ
sin γ
=
1 + m
12
cos γ
m
12
sin γ
(18 .2. 2)
P1: JXR
CB6 72- 18 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 1:5
18.1 ... =
∂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...
Gear Geometry and Applied Theory Episode 2 Part 9 pps
... 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 ... Analysis 5 43
(Ave. Crit.: 75%)
S, Mises
+8.056e+00
+4.546e+04
+9.092e+04
+1 .36 4e+05
+1.818e+05
+2. 273e+05
+2. 727 e+05
+3. 182e+05
+3. 636 e+05
+4.091e+05
+4.5...
Gear Geometry and Applied Theory Episode 2 Part 10 doc
... Parameters and Their Relations 555
Representation of m
21
in Terms of N
1
and N
2
The gear ratio m
21
was represented for the right-hand and left-hand worms and worm-
gears by Eqs. (19 .2. 8) and (19 .2. 9), ... 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...
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