動力伝達用歯車の設計理論 : 第6報,傘歯車とハイポイドギヤのギヤ比,オフセット,ねじれ角による設計基準点の性質およびその近傍歯面の接触状態の変化(機械要素,潤滑,工作,生産管理など)

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When gear pairs have the shaft angle 90°, the radius of gear 95 mm and the inclination angles of straight paths of contact given by a pair of 20° (drive side) and -20° (coast side) on the normal plane Sn which is perpendicular to the relative velocity at P_0, variations of the characteristics of the design point P_0 and its contact conditions (the radii and the centers of curvature at P_0) of tooth surfaces caused by those of gear ratio i_0, offset E and spiral angle φ_0 of bevel and hypoid gears are discussed through the numerical examples to examine how to choose E and φ_0 according to the given i_0, which is summed up as follows. (1) Variations of the condition of contact are greatly influenced by i_0 and φ_0, but not so much by E. Therefore, E should be chosen mainly to design the adequate diameter of mating pinion. (2) In the case of small i_0 (for example, i_0 = 1.0), E should be chosen smaller to avoid too large diameter of pinion, which gives convex-convex contact on both drive and coast surfaces at P_o in the ordinary range of φ_0 (<40°). (3) In the case of large i_0 (for example, i_0=20), both E and φ_0 must be chosen larger enough to realize sufficient diameter of pinion, where the drive surfaces have convex-convex contact while the coast surfaces have convex-concave contact. (4) In the ordinary case of i_0 = 4.1, the bevel gears with φ_0 = 35° and the hypoid gears with E = 35mm and φ_0 = 50° have convex-convex contact on the drive surfaces and have convex-concave contact on the coast surfaces. The difficulty of designing bevel and hypoid gears is in those unsimilarities of the conditions of contact due to i_0, E and φ_0 mentioned above, so that E and φ_0 must be chosen individually according to i_0.
一般社団法人日本機械学会の論文
2005-11-25

動力伝達用歯車の設計理論 : 第6報,傘歯車とハイポイドギヤのギヤ比,オフセット,ねじれ角による設計基準点の性質およびその近傍歯面の接触状態の変化(機械要素,潤滑,工作,生産管理など)

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