Gear Geometry and Applied Theory Episode 2 Part 1 pot
Gear Geometry and Applied Theory Episode 2 Part 1 pot
... E
c
(φ
2
)is
E
(2)
c
= E
c
(2 a) = r
p2
−r
pc
=
N
2
− N
c
2P
. (11 .2. 14 )
(ii) It is obvious that
E
c
(φ
2
) − E
(1)
c
E
(2)
c
− E
(1)
c
=
φ
2
2πa
. (11 .2. 15 )
(iii) Equations from (11 .2. 13 ) to (11 .2. 15 ) ... 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...
Gear Geometry and Applied Theory Episode 2 Part 3 pot
... Fig. 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: GDZ/SPH P2: GDZ
CB6 72- 12 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , ... − ρ
0
cos µ
0
=
θ
1
0
ρ
1
(θ
1
)
sin µ
dθ
1
. ( 12 . A . 21 )
(iv) Equation ( 12 . A .17 ) yields
q = θ
1
− µ
0
− φ
1
=−µ. ( 12 . A .22 )
(v)...
Gear Geometry and Applied Theory Episode 3 Part 1 potx
... (Figs. 19 . 12 . 1 and
19 . 12 . 2).
Figure 19 . 12 . 2: Intersection of worm and worm-
gear surfaces by plane m−n.
P1: JsY
CB6 72- 19 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 1 :28
594 Worm -Gear Drives ... follows:
(z
1
cos φ
1
+ E cot γ sin φ
1
)N
x1
+ (−z
1
sin φ
1
+ E cot γ cos φ
1
)N
y1
−
(x
1
cos φ
1
− y
1
sin φ
1
+ E) − p
1 − m...
Gear Geometry and Applied Theory Episode 2 Part 2 doc
... µ
i
=
r
i
(φ
i
)
dr
i
dφ
i
. ( 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 ... driving gear we have
1 + m
12
(φ
1
) + m
12
(φ
1
) ≥ 0. ( 12 . 5.3)
(ii) For...
Gear Geometry and Applied Theory Episode 2 Part 4 pdf
... Left-hand gear 1, side surface I (Fig. 14 .3 .2) :
x
1
= r
b1
cos(θ
1
+ µ
1
) + u
1
cos λ
b1
sin(θ
1
+ µ
1
)
y
1
= r
b1
sin(θ
1
+ µ
1
) − u
1
cos λ
b1
cos(θ
1
+ µ
1
)
z
1
= u
1
sin λ
b1
− p
1
θ
1
(14 .3 .11 )
n
1
= ... 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
... 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-v2.cls February 27 , 20 04 0:44
15 .2 Axodes of Helical Gears ... related
as
p
1
p
2
=
ω
(2)
ω
(1)
(15 .4 .1)
where ω
(i )
(i = 1, 2) is the angular velocity of the helicoid.
P1: GDZ/SPH P2: GDZ
CB6 72- 15...
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 ... represented as follows:
r
(1)
f
(u
1
,ψ
1
,φ
1
) − r
(2)
f
(u
2
,ψ
2
,φ
2
) = 0 (16 .3 .1)
n
(1)
f
(ψ
1
,φ
1
) − n
(2)
f...
Gear Geometry and Applied Theory Episode 2 Part 7 pps
... cos
2
λ
b1
± 2 cos λ
b1
cos λ
b2
sin λ
o1
sin λ
o2
+ cos
2
λ
b2
−
2 cos
2
λ
b1
cos
2
λ
b2
cos
2
α
on
.
(16 .B.9)
P1: JXR
CB6 72- 17 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 0:58
17 .1 Introduction ... Pressure
-8.935e+ 01
+2. 500e+ 01
+9.553e+ 01
+1. 661e+ 02
+2. 366e+ 02
+3.071e+ 02
+3.776e+ 02
+4.482e+ 02
+5 .18 7e+ 02
+5.892e+ 02
+6.598e+ 02
+...
Gear Geometry and Applied Theory Episode 2 Part 8 pps
... 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 Introduction ... (17 .7 .10 )
N
w
· v
(w1,ψ
w
)
w
= 0 (17 .7 .11 )
N
w
· v
(w1,s
w
)
w
= 0. (17 .7. 12 )
P1: JXR
CB6 72- 18 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February...
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 5 51
Figure 19 .2. 2: Velocity polygon for right-
hand worm -gear drive.
Figure 19 .2. 3: ... arcsin
r
ps
N
s
(E
ws
+r
ps
)
. (18 .14 .1)
P1: JXR
CB6 72- 18 CB6 72/ Litvin CB6 72/ Litvin-v2.cls February 27 , 20 04 1: 5
524 Face -Gear Drives
Step 2: Deter...