Method for designing tooth root transition curve of straight bevel gear

A straight-toothed bevel gear and transition curve technology, applied in the field of mechanical design and processing, can solve the problems of no consideration of the shape of the transition curve of the dedendum, no clear description of the dedendum modeling, and difficulty in controlling the design boundary, etc., to improve the bending strength, The effect of reducing the difficulty of design

Pending Publication Date: 2022-03-04
CHONGQING TSINGSHAN IND
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Problems solved by technology

There is no clear description of the modeling of the dedendum when building a 3D model, that is, the shape of the transition curve of the dedendum is not considered, and it is difficult to control its design boundary

Method used

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  • Method for designing tooth root transition curve of straight bevel gear
  • Method for designing tooth root transition curve of straight bevel gear
  • Method for designing tooth root transition curve of straight bevel gear

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Embodiment Construction

[0074] Such as Figure 1 to Figure 5 As shown, a method for designing the dedendum transition curve of a spur bevel gear includes the following steps:

[0075] 1) Establish a three-dimensional coordinate system with the apex of the pitch cone of the straight bevel gear as the origin, the X-axis of the three-dimensional coordinate system is the central axis of the straight bevel gear, and the Y-axis and the Z-axis are the symmetry of the cross-section of the straight bevel gear axis;

[0076] 2) Intersect a back cone with known parameters and the cross section of the straight bevel gear, and set the intersection point of the back cone and the face cone of the straight bevel gear as A(x a ,y a ,z a ), the intersection of the back cone and the root cone of the straight bevel gear is C(x c ,y c ,z c ), the intersection of the back cone and the X axis is O 0 (x 0 ,0,0), the starting point of the root transition curve is B(x b ,y b ,z b ), the back cone is at point B(x b...

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Abstract

The invention discloses a method for designing a tooth root transition curve of a straight bevel gear. The method comprises the following steps: 1) establishing a three-dimensional coordinate system by taking a pitch cone vertex of the straight bevel gear as an original point; 2) intersecting a back cone with known parameters with the cross section of the straight bevel gear; 3) expanding the back cone to form a fan-shaped plane, and establishing a two-dimensional coordinate system by taking a point O0 (x0, 0, 0) as an original point; 4) calculating an included angle theta cb between the angle theta and the angle theta cb; 5) solving a tangent line equation, a tooth root circle tangent line equation and a tooth root transition curve equation of the tooth surface curve AB in the two-dimensional coordinate system; 6) converting n points on the tooth root transition curve in the two-dimensional coordinate system into a three-dimensional coordinate system; 7) fitting a tooth root transition curve of the straight bevel gear in the three-dimensional coordinate system, and finishing the final design of the tooth root transition curve; and 8) according to the calculated three-dimensional coordinates of all points in the tooth root transition area, establishing a finally designed three-dimensional model of the tooth root transition curve by using three-dimensional software.

Description

technical field [0001] The invention relates to the field of mechanical design and processing, in particular to a method for designing a dedendum transition curve of a straight bevel gear. Background technique [0002] At present, the strength analysis of straight bevel gears needs to rely on 3D software to directly establish a 3D model of the straight bevel gear, and then analyze it in the finite element software. Many bevel gear processing also needs to rely on the 3D model, so the 3D model of the straight bevel gear Establishment is of great significance to design analysis and processing. [0003] In the prior art, there are many studies on tooth surface modification and macro-optimization of spur bevel gears, but there are few studies on dedendum transition curves. When building a 3D model, there is no clear description of the modeling of the dedendum, that is, the shape of the transition curve of the dedendum is not considered, and it is difficult to control its design...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/17G06F30/20G06T3/00
CPCG06F30/17G06F30/20G06T3/0037
Inventor 李先平陈方孙宇胡佳会陈瑶刘海涛雷欢黄清蓝
Owner CHONGQING TSINGSHAN IND
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