動力伝達用歯車の設計理論 : 第4報,等価ラックとかみあい率(機械要素,潤滑,工作,生産管理など)

概要

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When the design point P_0 is given in the coordinate system C_s which consists of the line of centers and the axis of relative angular velocity, the plane S_t including the two peripheral velocities at P_0, the design reference line g_t which is the intersection line between the plane S_n perpendicular to the relative velocity V_<rs0> at P_0 and the plane S_t and the design vertical C_n which is perpendicular to both g_t and V_<rs0> at P_0 are introduced. When a pair of paths of contact intersecting at the design point P_0 are given on the plane S_n, it is clarified that there is an equivalent rack which has the same pair of paths of contact and moves along g_t on the plane S_n and its dimensions (pitch, pressure angle, working depth, tooth thickness and so on) are calculated. Through designing the equivalent rack, the dimensions of gears, namely, the adequate inclination angles of the pair of paths of contact, the outside diameters and the face widths of the gear blanks, are designed to have tooth pairs with no topping and the required contact ratios which are calculated along the paths of contact in the region of mesh of the gear pair.
2004-08-25