Discussion: “Ideal Spiral Bevel Gears—A New Approach to Surface Geometry” (Huston, R. L., and Coy, J. J., 1981, ASME J. Mech. Des., 103, pp. 127–132)

1981 ◽  
Vol 103 (1) ◽  
pp. 133-133
Author(s):  
Y. Gutman
Keyword(s):  
Surface Geometry ◽  
New Approach ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Spiral Bevel

scholarly journals Ideal Spiral Bevel Gears—A New Approach to Surface Geometry

1981 ◽  
Vol 103 (1) ◽  
pp. 127-132 ◽  
Author(s):  
R. L. Huston ◽  
J. J. Coy
Keyword(s):  
Differential Geometry ◽  
Gear Tooth ◽  
Parametric Representation ◽  
Spiral Bevel Gear ◽  
Surface Geometry ◽  
New Approach ◽  
Bevel Gears ◽  
Geometrical Characteristics ◽  
Tooth Surfaces ◽  
Spiral Bevel

This paper discusses the fundamental geometrical characteristics of spiral bevel gear tooth surfaces. The parametric representation of an ideal spiral bevel tooth is developed. The development is based on the elements of involute geometry, differential geometry, and fundamental gearing kinematics. A foundation is provided for the study of nonideal gears and the effects of deviations from ideal geometry on the contact stresses, lubrication, wear, fatigue life, and gearing kinematics.

scholarly journals Surface Geometry of Circular Cut Spiral Bevel Gears

1982 ◽  
Vol 104 (4) ◽  
pp. 743-748 ◽  
Author(s):  
R. L. Huston ◽  
J. J. Coy
Keyword(s):  
Logarithmic Spiral ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Surface Geometry ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Spiral Bevel

An analysis of the surface geometry of spiral bevel gears formed by a circular cutter is presented. The emphasis is upon determining the tooth surface principal radii of curvature of crown (flat) gears. Specific results are presented for involute, straight, and hyperbolic cutter profiles. It is shown that the geometry of circular cut spiral bevel gears is somewhat simpler than a theoretical logarithmic spiral bevel gear.

Surface Geometry of Straight and Spiral Bevel Gears

1987 ◽  
Vol 109 (4) ◽  
pp. 443-449 ◽  
Author(s):  
Y. C. Tsai ◽  
P. C. Chin
Keyword(s):  
Mathematical Modeling ◽  
Tooth Surface ◽  
Surface Geometry ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Geometrical Characteristics ◽  
Spiral Bevel

The fundamental geometrical characteristics of bevel gears have been discussed in this study. The mathematical modeling of the tooth surface geometry of bevel gears can be developed based on the basic gearing kinematics and involute geometry along with the tangent planes geometry. The parametric representations of the spherical involute and the involute spiraloid, which are the tooth surface geometry of straight bevels and spiral bevels, respectively, have been derived in this paper. This study may provide some fundamentals for computer numerical controlled manufacturing of bevel gears.

scholarly journals Computerized Design of Low-Noise Face-Milled Spiral Bevel Gears

1994 ◽  
Author(s):  
F. L. Litvin ◽  
Yi Zhang ◽  
R. F. Handschuh
Keyword(s):  
Low Noise ◽  
Tooth Surface ◽  
Principal Curvatures ◽  
Surface Geometry ◽  
Local Synthesis ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Gear Drive ◽  
Geometry Design ◽  
Spiral Bevel

Abstract An advanced design methodology is proposed for the face-milled spiral bevel gears with modified tooth surface geometry that provides a reduced level of noise and has a stabilized bearing contact. The approach is based on the local synthesis of the gear drive that provides the “best” machine-tool settings. The theoretical aspects of the local synthesis approach are based on the application of a predesigned parabolic function for absorption of undesirable transmission errors caused by misalignment and the direct relations between principal curvatures and directions for mating surfaces. The meshing and contact of the gear drive is synthesized and analyzed by a computer program. The generation of gears with the proposed geometry design can be accomplished by application of existing equipment. A numerical example that illustrates the proposed theory is presented.

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