Computer Aided Simulation of Tooth Contact Analysis for Helical Gears with Involute Shape Teeth

  • C. B. Tsay
Conference paper


The level of kinematic errors is one of the main source of the gear noise and vibration. Thus, one of the goal of mechanical engineers is to solve the noise and vibration problems of the mating gears. In this paper, we assume that the equations of mating pinion and gear are given.

The paper covered: (1) Computer simulation of the conditions of meshing and bearing contact and (2) Investigation of the sensitivity of gears to the errors of manufacturing and assembly (due to the change of center distance and axes misalignment). A method of compensation for the dislocation of the bearing contact induced by errors of manufacturing and assembly has been proposed. Three numerical examples have also been presented to illustrate the influence of the abovementioned errors and the method of compensation of the dislocation of bearing contact.


Helical Gear Gear Train Kinematic Error Lead Angle Spiral Bevel Gear 
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  1. 1.
    Litvin, F.L. and Tsay, C.B., ‘Helical Gears with Circular Arc Teeth: Simulation of Conditions of Meshing and Bearing Contact’, ASME 1984 Des. Eng. Tech.; Also Trans. ASME, J. Mech. Transm. Autom. Des., Vol. 107, No. 4, (1985) pp. 556–546.Google Scholar
  2. 2.
    Litvin, F.L., - Theory of Gearing, 2nd ed., Nauka, 1968 (in Russian). The new edition (in English), revised, completed and sponsored by NASA, is in press.Google Scholar
  3. 3.
    Litvin, F.L., ‘Methods for Generation of Gear Tooth Surfaces and Basic Principles of Computer Aided Tooth Contact Analysis’, Proc. of Computers in Eng. Vol. 1, pp. 329–333, 1985.Google Scholar
  4. 4.
    Litvin, F.L., Rahman, P. and Goldrich, R.N., ‘Mathematical Models for the Synthesis and Optimization of Spiral Bevel Gear Tooth Surfaces’, NASA Contractor Report 3553 (1982).Google Scholar

Copyright information

© Martinus Nijhoff Publishers, Dordrecht 1987

Authors and Affiliations

  • C. B. Tsay
    • 1
  1. 1.Dept. of Mechanical EngineeingNational Chiao Tung Univ. HsinchuTaiwanR.O.C.

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