Tooth Bearing Analysis of Cylindrical Gears (3rd Report, Tooth Bearing Analysis under Load Using FEM)

Syuhei Kurokawa, Yasutsune Ariura

Research output: Contribution to journalArticlepeer-review


The authors have already developed a program for numerically simulating the tooth bearing considering tooth flank configurations and alignment errors under no load. With application of 3dimensional FEM analysis, a method for calculating the tooth contact patterns of cylindrical gears under load is proposed. First, tooth deflections of mating gear pairs are calculated using FEM. Boundary conditions are obtained from the results of tooth bearing analysis under no load. Loads are distributed to tooth flanks according to the separation between contact surfaces. By transformation of the deflections to the errors of the mating tooth surfaces, the former can be expressed as tooth flank configurations under no load. Second, these transformed tooth flank configurations, which are constructed from tooth deflections, are superposed onto the actual values obtained under no load. Then contact patterns can be calculated using the algorithm under no load without modification. With this method, contact patterns similar to actual ones are obtained without iteration. This indicates that the tooth bearing analysis under no load is important in applying this method for obtaining boundary conditions.

Original languageEnglish
Pages (from-to)639-644
Number of pages6
Journaltransactions of the japan society of mechanical engineers series c
Issue number570
Publication statusPublished - 1994
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering


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