Finite element analysis of cylindrical gears

A method, namely the normal stiffness matrix along contact line (NSMACL) method, for analysing gears is proposed. Three-dimensional (3D) finite element (FE) solid models have been established. Cylindrical gears - spur and helical, external and internal, hobbling and slotting, different parameters and materials - can be analysed using these models. Results such as load distribution along the contact lines, deformations and stiffness at any contact position, and contact stresses are presented. Calculation results show that the trend of gear tooth deformation coincides with the tested ones using the dynamic speckle photography method.

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

[2]  A. Seireg,et al.  Computer Simulation of Dynamic Stress, Deformation, and Fracture of Gear Teeth , 1973 .

[3]  L. Wilcox,et al.  Application of Finite Elements to the Analysis of Gear Tooth Stresses , 1973 .

[4]  G. Chabert,et al.  An Evaluation of Stresses and Deflection of Spur Gear Teeth Under Strain , 1974 .

[5]  N. Ganesan,et al.  Technical Note: Static contact stress analysis of a spur gear tooth using the finite element method, including frictional effects , 1994 .

[6]  Kazuteru Nagamura,et al.  Study on Deflection of Spur Gear Teeth : 2nd Report, Calculation of Tooth Deflection for Spur Gears with Various Tooth Profiles , 1980 .

[7]  Kosuke Nagaya,et al.  Effects of Moving Speeds of Dynamic Loads on the Deflections of Gear Teeth , 1981 .

[8]  T. Tobe,et al.  Longitudinal Load Distribution Factor of Helical Gears , 1985 .

[9]  A. Seireg,et al.  A Mathematical Programming Technique for the Evaluation of Load Distribution and Optimal Modifications for Gear Systems , 1973 .

[10]  A. Elkholy,et al.  Tooth Load Sharing in High-Contact Ratio Spur Gears , 1985 .

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

[12]  Shaker A. Meguid,et al.  On the contact stress analysis of spur gears using variational inequalities , 1995 .

[13]  V. Simon Load and Stress Distributions in Spur and Helical Gears , 1988 .

[15]  Kunikazu Hayashi Load Distribution on the Contact Line of Helical Gear Teeth : Part 1 Fundamental Concept , 1963 .

[16]  Donald R. Houser,et al.  A rayleigh-ritz approach to modeling bending and shear deflections of gear teeth , 1994 .

[17]  Norihisa Arai,et al.  A Study on Three-Dimensional Analysis of the Stress of Force-Fitted Helical Gears , 1988 .

[18]  Xing Ai,et al.  Measurement of gear tooth dynamic deformation using dynamic speckle photography , 1998 .

[19]  R. Cornell Compliance and Stress Sensitivity of Spur Gear Teeth , 1981 .