Skew line tooth surface gear transmission pair and tooth width geometric design method

Abstract

The invention discloses a skew line tooth surface gear transmission pair and a tooth width geometric design method. The skew line tooth surface gear transmission pair adopts an alternating axis transmission form composed of involute spur gears and skew line tooth surface gears. Each skew line tooth surface gear is formed by spreading straight tooth involute slotting cutters in a staggered mode; the skew line tooth surface gears can only mesh with the straight tooth cylindrical gears and can not mesh with the skewed tooth cylindrical gears with helix angle; and the tooth trace is approximate to a skew line and forms an oblique angle with the radius direction, thereby being very suitable for the demands of design diversification for aviation compact space. The method illuminates the gear shaping principle of the skew line gear and skew line tooth surface gear, and deduces the tooth surface equation of the skew line tooth surface gear. The margin line of the involute slotting cutters is utilized to calculate the position of the tangent point of the internal end tooth root. The condition that the outer end tooth top tooth thickness is equal to zero is utilized to obtain the sharpening condition. The condition of avoiding secondary cutting of the tooth root is combined with determine the cutter top fillet radius, thereby finally obtaining the tooth width of the skew line tooth surface gear.

Description

【Technical field】 [0001] The invention belongs to the technical field of gear transmission, and in particular relates to a transmission pair of inclined tooth surface gears and a geometric design method of tooth width. 【Background technique】 [0002] The oblique tooth surface gear transmission is an angular transmission in which a cylindrical gear meshes with a flat inclined tooth surface gear, and can be used for different transmission requirements such as orthogonal, non-orthogonal or offset axes of the two gears. Compared with the angular transmission using bevel gears, the oblique tooth surface gear transmission can save a lot of installation and debugging time and cost due to the relatively free position of the active cylindrical gear. In addition, it has many advantages such as compact structure and high single-stage transmission ratio. Finished oblique tooth surface gears can replace straight bevel gears, spiral bevel gears and hypoid bevel tooth surface gears, etc. a...

AI Technical Summary

Problems solved by technology

Compared with straight-toothed helical-toothed gears, helical-toothed-toothed-toothed gears have higher coincidence and tooth strength; however, due to the existence of the helix angle, the tooth surface geometry is more complex, even for small installations Errors may destroy the original ideal meshing marks; what is more unfavorable is that the axial force will be generated in the meshing transmission, thus improving the performance requirements of the bearing and more stringent installation conditions

With the increasing application of high-power transmission systems in aviation power transmission, the traditional involute spur gears and helical gears can no longer adapt to high-speed and heavy-duty transmission occasions. Therefore, it is urgent to develop suitable A new type of high-performance helical tooth surface gear transmission for high power transmission

[0004] To sum up, straight teeth with inclined tooth surface gears have problems such as low coincidence, poor load carrying capacity, and large vibration and noise, while helical tooth inclined tooth surface gears have disadvantages such as axial force and poor meshing stability. Moreover, the geometrical design of the tooth width of the oblique tooth surface gear is not comprehensive, and only considers the undercutting of the inner end dedendum and the sharpening of the outer end addendum tip

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