A gear with a special tooth profile curve

Abstract

The invention discloses a gear with a novel tooth profile curve. A tooth profile curve at the tooth top of the gear is in a convex shape. A tooth profile curve at the tooth root of the gear is in a concave shape. A meshed tooth pair of a gear pair is in convex-concave arc meshing. In a coordinate system O-xy with the gear center as an original point, through a gear parameter and tooth profile curve parameter equation, the tooth profile curve is obtained, the tooth profile curve is subjected to symmetry and rotation transformation, then the end face profile of the gear is obtained, and the gear pair formed by gears is in conjugation and in convex-concave arc meshing. The gear can be used in tooth profile design in large-load gear transmission, the bearing capacity of the gear is greatly increased compared with an involute, when a rack tool or hobbing is used for machining, machining tool design is simple, and only one tool needs to be machined. The gear is also used in design of a small-tooth-number gear pair with a small tooth number (z is smaller than or equal to 6), and accordingly the bearing capacity is improved.

Description

technical field [0001] The invention relates to the design of a gear with a special tooth profile curve, and belongs to the technical field of gear tooth shape design. Background technique [0002] Generally, the tooth profile curve of the gear adopts the involute, which is because the involute has the advantages of stable force transmission, separable center distance and easy processing. But its shortcoming is that the bearing capacity of the gear pair is limited. In the application, methods such as displacement and shape modification are proposed to improve its bearing capacity, but in some special transmission occasions, it still cannot meet the requirements. [0003] In response to the shortcomings of the involute gears proposed above, people have explored and designed arc gears and double arc gears. The meshing of double arc gears is convex and concave arc meshing. Improve the strength of the gear. However, the double circular arc gear has problems such as needing to ...

AI Technical Summary

Problems solved by technology

But its shortcoming is that the bearing capacity of the gear pair is limited. In the application, methods such as displacement and shape modification are proposed to improve its bearing capacity, but in some special transmission occasions, it still cannot meet the requirements.

However, there are problems such as double arc gears need to run and finish to meet the conjugate meshing, difficult to process, and sensitive to center distance errors.

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