An approach for analytical determination of basic machine-tool settings for generation of spiral bevel gears from blank data is proposed. Generation by face-milling is considered. The analytical procedure is based on the similitudes between the conditions of generation between the gear member and its head-cutter and the conditions of imaginary meshing between the gear member and its crown gear. The blank data considered are the number of teeth of the pinion and the gear, the module, the spiral and pressure angles, the face width, the shaft angle, the depth factor, the clearance factor, and the mean addendum factor. These starting data can be established following the directions of the Standard ANSI/AGMA 2005-D03. Once the gear machine-tool settings are determined, an existing approach of local synthesis is applied to determine the pinion machine-tool settings that provide the desired conditions of meshing and contact of the gear drive. The developed theory is illustrated with a numerical example.

1.
Lelkes
,
M.
,
Marialigeti
,
J.
, and
Play
,
D.
, 2002, “
Numerical Determination of Cutting Parameter for the Control of Klingelnberg Spiral Bevel Gears
,”
ASME J. Mech. Des.
0161-8458,
124
, pp.
761
771
.
2.
Fan
,
Q.
, 2006, “
Computerized Modeling and Simulation of Spiral Bevel and Hypoid Gears Manufactured by Gleason Face Hobbing Process
,”
ASME J. Mech. Des.
0161-8458,
128
, pp.
1315
1327
.
3.
Litvin
,
F. L.
, and
Gutman
,
Y.
, 1981, “
Methods of Synthesis and Analysis for Hypoid Gear-Drives of Format and Helixform, Part 1, 2 and 3
,”
ASME J. Mech. Des.
0161-8458,
103
, pp.
83
113
.
4.
Litvin
,
F. L.
,
Zhang
,
Y.
,
Lundy
,
M.
, and
Heine
,
C.
, 1988, “
Determination of Settings of a Tilted Head Cutter for Generation of Hypoid and Spiral Bevel Gears
,”
ASME J. Mech., Transm., Autom. Des.
0738-0666,
110
, pp.
495
500
.
5.
Litvin
,
F. L.
,
Wang
,
A. G.
, and
Handschuh
,
R. F.
, 1996, “
Computerized Design and Analysis of Face-Milled Uniform Tooth Height Spiral Bevel Gear Drives
,”
ASME J. Mech. Des.
0161-8458,
118
(
4
), pp.
573
579
.
6.
Litvin
,
F. L.
,
Wang
,
A. G.
,
Handschuh
,
R. F.
,
Lewicki
,
D. G.
, and
Henry
,
Z.
, 1997, “
Design, Generation, Stress Analysis and Test of Low-Noise, Increased Strength Face-Milled Spiral Bevel Gears
,” Technical Paper No. AGMA 97FTM15.
7.
Litvin
,
F. L.
,
Wang
,
A. G.
, and
Handschuh
,
R. F.
, 1998, “
Computerized Generation and Simulation of Meshing and Contact of Spiral Bevel Gears With Improved Geometry
,”
Comput. Methods App. Mech. Eng.
,
158
(
1–2
), pp.
35
64
.
8.
Argyris
,
J.
,
Fuentes
,
A.
, and
Litvin
,
F. L.
, 2002, “
Computerized Integrated Approach for Design and Stress Analysis of Spiral Bevel Gears
,”
Comput. Methods Appl. Mech. Eng.
0045-7825,
191
, pp.
1057
1095
.
9.
Litvin
,
F. L.
,
Fuentes
,
A.
,
Fan
,
Q.
, and
Handschuh
,
R. F.
, 2002, “
Computerized Design, Simulation of Meshing and Contact, and Stress Analysis of Face-Milled Formate Generated Spiral Bevel Gears
,”
Mech. Mach. Theory
0094-114X,
37
(
5
), pp.
441
459
.
10.
Fuentes
,
A.
,
Litvin
,
F. L.
,
Mullins
,
B. R.
,
Woods
,
R.
,
Handschuh
,
R. F.
, and
Lewicki
,
D. G.
, 2002, “
Design, Stress Analysis and Experimental Tests of Low-Noise Adjusted Bearing Contact Spiral Bevel Gears
,”
Proceedings of the International Conference on Gears
, VDI-Beritchte, Paper No. 1665, Vol.
1
, pp.
327
340
.
11.
Fuentes
,
A.
,
Litvin
,
F. L.
,
Mullins
,
B. R.
,
Woods
,
R.
, and
Handschuh
,
R. F.
, 2002, “
Design and Stress Analysis of Low-Noise Adjusted Bearing Contact Spiral Bevel Gears
,”
ASME J. Mech. Des.
0161-8458,
124
, pp.
524
532
.
12.
Lewicki
,
D. G.
, and
Woods
,
R. L.
, 2003, “
Evaluation of Low-Noise, Improved-Bearing-Contact Spiral Bevel Gears
,” NASA/TM 2003-212353, ARL-TR-2970.
13.
Simon
,
V.
, 2005, “
Optimal Tooth Modification in Hypoid Gears
,”
ASME J. Mech. Des.
0161-8458,
127
, pp.
646
655
.
14.
Stadtfeld
,
H. J.
, 1993,
Handbook of Bevel and Hypoid Gears
,
1st ed.
,
Rochester Institute of Technology
,
Rochester
.
15.
Wang
,
P. Y.
, and
Fong
,
Z. H.
, 2006, “
Fourth-Order Kinematic Synthesis for Face-Milling Spiral Bevel Gears With Modified Radial Motion (MRM) Correction
,”
ASME J. Mech. Des.
0161-8458,
128
, pp.
457
467
.
16.
Litvin
,
F. L.
, 1994,
Gear Geometry and Applied Theory
,
Prentice Hall
,
Englewood Cliffs, NJ
.
17.
Litvin
,
F. L.
, and
Fuentes
,
A.
, 2004,
Gear Geometry and Applied Theory
,
2nd ed.
,
Cambridge University Press
,
New York
.
18.
Litvin
,
F. L.
, 1989, “
Theory of Gearing
,”
NASA
Report No. 1212.
19.
American Gear Manufacturers Association
, 2003, Design Manual for Bevel Gears, 500 Montgomery Street, Suite 350, Alexandria, VA 22314.
20.
Shtipelman
,
B. A.
, 1978,
Design and Manufacture of Hypoid Gears
,
Wiley
,
New York
.
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