In-depth study of the spherical gear transmission, it will be found that there are two main reasons for the principle error: First, the gear teeth of the spherical crown gear are discretely distributed on the spherical surface, and second, the tooth profile curve of the gear teeth. Therefore, in order to completely improve the transmission quality of the spherical crown gear, it is necessary to start from the meshing principle. The safety chuck adopts a tooth profile curve that satisfies the basic law of tooth profile engagement and changes the discrete distribution of the teeth to a continuous distribution. In order to eliminate the principle error of the spherical crown gear transmission, it is necessary to solve the two problems of the shape of the tooth and the distribution law on the spherical surface.
A ring-shaped involute spherical gear mechanism is proposed, which fundamentally solves two major problems in the spherical gear transmission. In a mechanism composed of a spherical gear, the polar axis passes through a center of the sphere and is perpendicular to the plane of the ring gear, which is the rotation axis when machining the spherical gear.
Tooth profile formation: the plane meshing gear pole shaft coincides exactly with the center line of the two wheels, and a pair of face gears are rotated 360 degrees around the pole axis to obtain a pair of spherical gears. The relevant circles in the plane gear all evolve into balls. If the gears are respectively mounted on a set of two white planes of the universal frame, and the gears are kept fixed-point motion, the pure rolling motion of the ball can be achieved.
When the occurrence line is purely rolling on the base circle and the submerged hole is drilled around the polar axis along with the base circle plane, the trajectory of any point of the line forms the tooth profile surface of the spherical gear, and all points on the base circle The collection of tracks is called the base ball. Obviously, the tooth profile curves in any section of the over-polar axis are involute, and the collection of all involutes constitutes an annular face.
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