Patent ID: 7665380
Filing Date: 2010-02-23
Classification: F16H,Y10T

Abstract:
1. A method for designing a hypoid gear consisting of a pair of gears including a pinion and a large gear, either of said gears being a first gear having an involute helicoid as a tooth surface, the other of said gears being a second gear having a tooth surface conjugate to the former tooth surface, said method comprising the steps of: assigning to said gears (a) a stationary coordinate system in which one of three mutually orthogonal coordinate axes coincides with a rotation axis of the gear and one of other two coordinate axes coincides with a common perpendicular for the rotation axis of the gear and a rotation axis of a mating gear to be engaged with the gear, (b) a rotary coordinate system in which one of three mutually orthogonal coordinate axes coincides with the axis of said stationary coordinate system that coincides with the rotation axis of the gear among the three coordinate axes of said stationary coordinate system, said rotary coordinate system rotating about the coincided coordinate axis together with the gear, the other two coordinate axes of the three orthogonal axes coinciding with the other two axes of said stationary coordinate system respectively when a rotation angle of the gear is zero, and (c) a parameter coordinate system in which said stationary coordinate system is rotated and transformed about the rotation axis of the gear so that one of the other two coordinate axes of said stationary coordinate system becomes parallel with the plane of action of the gear, respectively; describing a path of contact of a pair of tooth surfaces of the gear and the mating gear which engage with each other during the rotation of the gears and an inclination angle of a common normal which is a normal at each point of contact for the pair of tooth surfaces respectively in terms of a first function, in which a rotation angle of the gear is used as a parameter, in said parameter coordinate system; describing the path of contact and the inclination angle of the common normal respectively in terms of a second function, in which a rotation angle of the gear is used as a parameter, based on the first function and a relationship between relative positions of said stationary coordinate system and said parameter coordinate system, in said stationary coordinate system; acquiring the path of contact and the inclination angle of the common normal in the stationary coordinate system, respectively, and acquiring a tooth profile by describing the path of contact and the inclination angle of the common normal, respectively, in terms of a third function, in which the rotation angle of the gear is used as a parameter, based on the second function and the relationship between the relative positions of said rotary coordinate system and said stationary coordinate system, in said rotary coordinate system; acquiring a surface of action for the pair of tooth surfaces having the tooth profile; acquiring action limit curves which are orthogonal projections of axes of the two gears on the surface of action, and acquiring a tip line of the second gear in the surface of action, based on the tooth surface of the second gear, and further acquiring an effective surface of action existing between the action limit curves and the tip line; and judging whether or not the effective surface of action exists over a whole face width of the gear.