Stress analysis of a helical gear set with localized bearing contact

This study investigates the contact stress and bending stress of a helical gear set with localized bearing contact, by means of finite element analysis (FEA). The proposed helical gear set comprises an involute pinion and a double crowned gear. Mathematical models of the complete tooth geometry of the pinion and the gear have been derived based on the theory of gearing. Accordingly, a mesh-generation program was also developed for finite element stress analysis. The gear stress distribution is investigated using the commercial FEA package, ABAQUS/Standard. Furthermore, several examples are presented to demonstrate the influences of the gear's design parameters and the contact positions on the stress distribution.

[1]  Faydor L. Litvin,et al.  Computerized Design, Generation and Simulation of Meshing of Modified Involute Spur Gears With Localized Bearing Contact and Reduced Level of Transmission Errors , 1997 .

[2]  Faydor L. Litvin,et al.  Application of Finite Element Analysis for Determination of Load Share, Real Contact Ratio, Precision of Motion, and Stress Analysis , 1996 .

[3]  G. Muthuveerappan,et al.  Finite element modelling and stress analysis of helical gear teeth , 1993 .

[4]  Faydor L. Litvin,et al.  Asymmetric modified spur gear drives: reduction of noise, localization of contact, simulation of meshing and stress analysis , 2000 .

[5]  Agma Information Sheet.  AMERICAN GEAR MANUFACTURERS ASSOCIATION Geometry Factors for Determining the Pitting Resistance and Bending Strength of Spur, Helical and Herringbone Gear Teeth , 1999 .

[6]  H. Saunders,et al.  Advanced Mechanics of Materials (4th Ed.) , 1988 .

[7]  Omer Eyercioglu,et al.  Evaluation of Gear Tooth Stresses by Finite Element Method , 1995 .

[8]  D. W. Dudley,et al.  Dudley's Gear Handbook , 1991 .

[9]  Yi Zhang,et al.  Analysis of transmission errors under load of helical gears with modified tooth surfaces , 1997 .

[10]  R. F. Handschuh,et al.  Experimental and analytical study of aerospace spiral bevel gear tooth fillet stresses , 1999 .

[11]  A. Seireg,et al.  Theory of Gearing , 1992 .

[12]  R. Cook,et al.  Advanced Mechanics of Materials , 1985 .

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

[14]  Chung-Biau Tsay.  Helical gears with involute shaped teeth: geometry, computer simulation, tooth contact analysis, and stress analysis , 1988 .

[15]  Faydor L. Litvin,et al.  Computerized Design and Generation of Low-Noise Helical Gears with Modified Surface Topology , 1994 .

[16]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[17]  F. Litvin,et al.  Gear geometry and applied theory , 1994 .