大形歯車のアンジュレーション測定について(第2報)

Tomlinson式測定法の厳密な基礎式

抄録

This paper relates to the analyses of the measured value on the Tomlinson undulation recorder. In the preceding report, the approximate fundamental equations were obtained and the solving methods of them were shown. But they were based on the assumption that the large pitch diameter helical gear can be regarded as a rack plate.
In this report, the accurate fundamental equations and these solutions are obtained, in which the effects of the twisting and bending of the tooth trace are considered. They appear when the helical gear has a small pitch diameter. Especially, on the C-type undulation the fundamental equations are the same form as that of the apploximate analyses and the solutions can be obtained easily without any unknown constant. When the undulation is not a C-type and the measured values contain unknown K-constant, the analyzing method of obtaining the undulation which has the least amplitude is shown. Further, the relation between the errors by the use of approximate analyses and the value l/d₀, is estimated.