動力伝達用歯車の設計理論 : 第5報,歯と軸受が正転側と逆転側とで等強度となる一対の接触点の軌跡(機械要素,潤滑,工作,生産管理など)

概要

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When a pair of paths of contact intersecting at the design point P_0 are given on the normal plane S_n which is perpendicular to the relative velocity at P_0, the conditions for the pair of paths of contact to realize equal strengths of tooth and bearing on both drive and coast sides under the same transmitted torque are discussed. Those conditions are expressed by 5 equations with 7 independent variables, which draw 5 separate reference paths of contact on the plane S_n geometrically. In designing gears, 3 variables (shaft angle, offset and gear ratio) are given, so that the equations have no solutions generally. However, cylindrical, crossed helical (including worm) and straight bevel gears can satisfy those conditions because their 5 reference paths of contact are superimposed and become at most one or two lines rectangular each other. Spiral bevel and hypoid gears with a rectangular shaft angle can not satisfy those conditions and their reference paths of contact vary according to the variables (offset, gear ratio and spiral angle), so that they have been designed as similar gears to ones whose performances are already assured by fixing the variables in some degree.
一般社団法人日本機械学会の論文
2004-09-25