An algorithm for synthesis of spiral bevel gear transmissions with a small shaft angle is presented. The algorithm of synthesis provides machine-tool settings with account of design limits for majority of gear generating machines. The proposed algorithm makes it possible to decrease the dimensions of machines that are used for gear and pinion tooth generation. The computer program of synthesis is developed that is based on described algorithm. Recommendations on selection of proper synthesis parameters are presented. An example of synthesis and analysis of a transmission is considered.

1.
Litvin
,
F. L.
, and
Fuentes
,
A.
, 2004,
Gear Geometry and Applied Theory
,
Cambridge University Press
, Cambridge, UK, 800.
2.
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
.
3.
Fuentes
,
A.
,
Litvin
,
F. L.
,
Mullings
,
B. R.
,
Woods
,
R.
, and
Handshuh
,
R. F.
, 2002, “
Design and Stress Analysis of Low-Noise Adjusted Bearing Contact Spiral Bevel Gears
,”
ASME J. Mech. Des.
1050-0472,
124
, pp.
524
532
.
4.
Sheveleva
,
G. I.
, 1999,
Theory of Generation and Contact of Moving Bodies (in Russian)
,
Stankin
, Moscow.
5.
Sheveleva
,
G.
,
Medvedev
,
V.
, and
Volkov
,
A.
, 1995, “
Mathematical Simulation of Spiral Bevel Gears Production and Processes With Contact and Bending Stresses
,”
Proc. IX World Congress IFToMM
, Vol.
1
, Milano, Italy, pp.
509
513
.
6.
Sheveleva
,
G. I.
,
Volkov
,
A. E.
, and
Medvedev
,
V. I.
, 2003, “
Calculating the Contact Pressures in Bevel Gear Drives With Different Tooth Models
,”
J. Mach. Manuf. Reliabi.
,
2
, pp.
58
61
.
7.
Medvedev
,
V. I.
, 1999, “
Synthesis of Generated Non-orthogonal Bevel and Hypoid Gear Sets
,”
J. Mach. Manuf. Reliabi.
,
5
, pp.
1
8
.
8.
Medvedev
,
V. I.
, 2001, “
Programs for Analyzing Quality of Conical and Hypoid Gear Pairs
,”
J. Mach. Manuf. Reliabi.
,
3
, pp.
77
84
.
9.
Medvedev
,
V. I.
, 2001, “
Technique for Rapid Evaluation of the Quality of the Settings of the Gear Shaping Machines for Hypoid Pair Manufacturing
,”
J. Mach. Manuf. Reliabi.
,
1
, pp.
91
98
.
10.
Medvedev
,
V. I.
, 2003, “
Calculating the Bending Stresses in the Circular Teeth of Bevel Gears
,”
J. Mach. Manuf. Reliabi.
,
4
, pp.
26
33
.
11.
Akimov
,
V. V.
,
Volkov
,
A. E.
, and
Lagutin
,
S. A.
, 2006, “
Equivalent machine-tool settings for a machining of spiral bevel gears
,”
Proc. II International Conference “Power Transmissions 2006
,” Novi Sad, Serbia and Montenegro, pp.
279
282
.
12.
Timoshenko
,
S. P.
, and
Goodier
,
J. N.
, 1970,
Theory of Elasticity
,
McGraw-Hill
, New York.
You do not currently have access to this content.