Quantization of 10D Massless Superparticle
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Gear box housing have many functions which can be
drawn from the figure and summarized as follows:
1. Lubricant carrier.
2. Bearings mounting.
3. Fixation to base.
4. Oil level indication.
Design of gear box housing means determine the
following parameters:
1. Thickness of housing
wall (
).
2
.
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(
1
)
.
3. Thickness of housing
upper flange (b).
4. Thickness of housing
cover flange (b
1
).
5.Thickness of housing lower
flange (P).
6.Thickness of ribs of housing
and cover (m)
7.Diameter of foundation bolts
(d
f
).
8. Diameter of bolts near
bearings (d
1
).
9.Diameter of bolts connecting
cover to base (d
2
).
10.Diameter of bearing cover
bolts (d
3
).
11.Distance from housing wall
to foundation bolt axis (C ).
12. Width of lower flange (K).
13.Width of upper flange (K
1
).
The housing parameters can be classified into the
following main groups:
Dimensions of housing parameters can be taken from
empirical formula.
1.
Wall thicknesses.
2.
Bolt diameters.
3.
Safety distances.
The wall thicknesses include:
- Base housing wall thickness.
- Cover housing wall thickness.
- Ribs thicknesses
.
The bolt diameters include:
- Diameter of foundation bolt.
- Diameter of bolts near the bearings.
- Diameter of cover connecting bolts.
DIMENSIONS OF THE WALL THICKNESSES
1. Thickness of housing base walls (
)
Where, ‘A’ is the maximum shafts center line
distance.
2. Thickness of housing cover wall (
1
).
Where, ‘A’ is the maximum shafts center line
distance.
>
1
3. Thickness of housing upper & cover flange (b).
Where, ‘
’ is the base wall thickness.
4. Thickness of housing lower flange (base) (p).
5. Thickness of ribs (m).
Where, ‘
’ is the base wall thickness.
BOLTS DIAMETERS
1. Diameter of foundation bolts (
d
f
)
Where, ‘A’ is the maximum shafts center line
distance.
2. Diameter of bolts near bearings (
d
1
)
3. Diameter of bolts connecting base & cover (d
2
)
d
2
4. Diameter of bearing cover bolts (d
3
)
DISTANCES
1. Distance from housing wall to foundation bolt
2. Distance from housing wall to axis of bolts near
bearing (e
1
)
e
1
2. Distance from housing wall to axis of bolts
connecting base & cover (C
1
)
C
1
Width of lower flange (K)
Where,
Width of upper flange (K
1
)
Where,
E
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D
Investigate the quantization of a 10-dimensional massless superparticle through algebraic methods and covariant quantization of gauge theories in curved spacetime. Explore the use of Faddeev-Jackiw method, Hamiltonian reduction, canonical variables, inner product definitions, and Brink-Schwartz action in the process.
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Presentation Transcript
GEAR DESIGN Part VI (HAUSING DESIGN) Prof. Dr. Mohamed Omar Mousa El-Minia University Prod. & Mech. Design Dept. Prof. Dr. Mohamed Omar Mousa April 2006
Gear box housing have many functions which can be drawn from the figure and summarized as follows: 1. Lubricant carrier. 2. Bearings mounting. 3. Fixation to base. 4. Oil level indication. Prof. Dr. Mohamed Omar Mousa April 2006
Design of gear box housing means determine the following parameters: b 1. Thickness of housing wall ( ). 2. Thickness of housing cover wall ( 1). 1 b1 3. Thickness of housing upper flange (b). 4. Thickness of housing cover flange (b1). Prof. Dr. Mohamed Omar Mousa April 2006
5.Thickness of housing lower flange (P). 6.Thickness of ribs of housing and cover (m) P 7.Diameter of foundation bolts (df). m m d2 8. Diameter of bolts near bearings (d1). d1 df 9.Diameter of bolts connecting cover to base (d2). Prof. Dr. Mohamed Omar Mousa April 2006
10.Diameter of bearing cover bolts (d3). K1 11.Distance from housing wall to foundation bolt axis (C ). K d3 12. Width of lower flange (K). 13.Width of upper flange (K1). C Prof. Dr. Mohamed Omar Mousa April 2006
Dimensions of housing parameters can be taken from empirical formula. The housing parameters can be classified into the following main groups: 1.Wall thicknesses. 2.Bolt diameters. 3.Safety distances. The wall thicknesses include: - Base housing wall thickness. - Cover housing wall thickness. - Ribs thicknesses. The bolt diameters include: - Diameter of foundation bolt. - Diameter of bolts near the bearings. - Diameter of cover connecting bolts. Prof. Dr. Mohamed Omar Mousa April 2006
DIMENSIONS OF THE WALL THICKNESSES 1. Thickness of housing base walls ( ) A = = + + 0 025 . A 5 mm Where, distance. A is the maximum shafts center line Prof. Dr. Mohamed Omar Mousa April 2006
2. Thickness of housing cover wall ( 1). 1 A = = + + 0 02 . A 5 mm 1 Where, distance. A is the maximum shafts center line > 1 Prof. Dr. Mohamed Omar Mousa April 2006
3. Thickness of housing upper & cover flange (b). b b1 = = = = b b 1 5 . mm 1 Where, is the base wall thickness. Prof. Dr. Mohamed Omar Mousa April 2006
4. Thickness of housing lower flange (base) (p). p = 2 ( ) 4 . 2 p mm Where, is the base wall thickness. Prof. Dr. Mohamed Omar Mousa April 2006
5. Thickness of ribs (m). m = = m 0 85 . mm Where, is the base wall thickness. Prof. Dr. Mohamed Omar Mousa April 2006
BOLTS DIAMETERS 1. Diameter of foundation bolts (df) df A = = + + df 0 036 . A 12 mm Where, distance. A is the maximum shafts center line Prof. Dr. Mohamed Omar Mousa April 2006
2. Diameter of bolts near bearings (d1) d1 = = d 0 75 . d mm 1 f Prof. Dr. Mohamed Omar Mousa April 2006
3. Diameter of bolts connecting base & cover (d2) d2 = = d ( 0 5 . 0 6 . ) d mm 2 f Prof. Dr. Mohamed Omar Mousa April 2006
4. Diameter of bearing cover bolts (d3) d3 = = d ( 0 4 . 0 5 . ) d mm 3 f Prof. Dr. Mohamed Omar Mousa April 2006
DISTANCES 1. Distance from housing wall to foundation bolt C = = f+ + C 1 2 . d 5 mm Prof. Dr. Mohamed Omar Mousa April 2006
2. Distance from housing wall to axis of bolts near bearing (e1) 2. Distance from housing wall to axis of bolts connecting base & cover (C1) e1 e1 C1 = = + + e 1 1 . d 5 mm 1 1 = = + + C 1 2 . d 5 mm 1 2 Prof. Dr. Mohamed Omar Mousa April 2006
Width of lower flange (K) K K = = + + + + K C d ( 2 5 ) mm f Where, = = f+ + C 1 2 . d 5 mm Prof. Dr. Mohamed Omar Mousa April 2006
Width of upper flange (K1) K1 K1 = = + + + + K C d ( 2 5 ) mm 1 1 2 Where, = = + + C 1 2 . d 5 mm 1 2 Prof. Dr. Mohamed Omar Mousa April 2006
END Prof. Dr. Mohamed Omar Mousa April 2006
