Computer aided design and analysis of gear tooth geometry

A simulation method for gear hobbing and shaping of straight and spiral bevel gears is presented. The method is based upon an enveloping theory for gear tooth profile generation. The procedure is applicable in the computer aided design of standard and nonstandard tooth forms. An inverse procedure for finding a conjugate gear tooth profile is presented for arbitrary cutter geometry. The kinematic relations for the tooth surfaces of straight and spiral bevel gears are proposed. The tooth surface equations for these gears are formulated in a manner suitable for their automated numerical development and solution.

[1]  Ronald L. Huston,et al.  A Basis for the Analysis of Surface Geometry of Spiral Bevel Gears , 1983 .

[2]  Deane Lent,et al.  Analysis and Design of Mechanisms , 1970 .

[3]  H. Winter,et al.  Influence of Relative Displacements Between Pinion and Gear on Tooth Root Stresses of Spiral Bevel Gears , 1985 .

[4]  Taylan Altan,et al.  Application of CAD/CAM Techniques to Close Tolerance Forging of Spiral Bevel Gears , 1982 .

[5]  Faydor L. Litvin,et al.  Kinematic precision of gear trains , 1983 .

[6]  Kentaro Tamamura,et al.  Method of Determining the Actual Form of the Tool Edge from Chips , 1982 .

[7]  V. A. Ganshin,et al.  The Effect of Geometrical Parameters of Hypoid and Spiroid Gears on Its Quality Characteristics , 1974 .

[8]  Ronald L. Huston,et al.  Tooth Profile Analysis of Circular-Cut, Spiral-Bevel Gears , 1983 .

[9]  J. J. Coy,et al.  A Computer Aided Design Procedure for Generating Gear Teeth , 1984 .

[10]  J. J. Coy,et al.  Ideal spiral bevel gears - A new approach to surface geometry , 1981 .

[11]  Faydor L. Litvin,et al.  Precision of spiral-bevel gears , 1983 .

[12]  J. J. Coy,et al.  Surface Geometry of Circular Cut Spiral Bevel Gears , 1982 .

[13]  Faydor L. Litvin,et al.  Mathematical models for the synthesis and optimization of spiral bevel gear tooth surfaces. [for helicopter transmissions , 1982 .

[14]  J. J. Coy.  Geared power transmission technology , 1983 .

[15]  Faydor L. Litvin,et al.  A Method of Local Synthesis of Gears Grounded on the Connections Between the Principal and Geodetic Curvatures of Surfaces , 1981 .

[16]  E. Buckingham.  Analytical mechanics of gears , 1949 .

[17]  M. L. Baxter.  Lattice Contact In Generated Spiral Bevel Gears , 1978 .