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Precise modeling method of Niemann worm wheel

A modeling method and worm gear technology, applied in 3D modeling, instruments, geometric CAD, etc., can solve the problems of difficult worm gear modification, poor surface processing quality, and high cost

Active Publication Date: 2017-06-20
HUAIYIN INSTITUTE OF TECHNOLOGY
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  • Abstract
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Problems solved by technology

[0004] For a long time, the processing method of Nieman worm gear has been dominated by hobbing. This method mainly has the following disadvantages: First, the design and processing cycle of the worm gear hob is long and the cost is high. Second, the hobbing process belongs to the Fancheng method. After hobbing, the worm gear tooth surface has the unique cutting marks of the Fancheng process, and the surface processing quality is not good. Finally, under the hobbing method, it is limited by the design and manufacture of the worm gear hob. , it is difficult to modify the worm gear directly
However, in the worm drive, the meshing equation contained in the worm gear tooth surface equation is a trigonometric function transcendental equation, there is no analytical solution, and the worm gear tooth surface can only be constructed by numerical solution

Method used

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  • Precise modeling method of Niemann worm wheel
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  • Precise modeling method of Niemann worm wheel

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Embodiment Construction

[0163] The present invention will be further described below in conjunction with the accompanying drawings. The following examples are only used to illustrate the technical solution of the present invention more clearly, but not to limit the protection scope of the present invention.

[0164] S1 establishes the torus equation of the method grinding wheel

[0165] S1.1 Establish the following coordinate system:

[0166] Such as figure 1 As shown, the coordinate system of the grinding wheel is O u x u Y u Z u , the coordinate origin O u is the center of the grinding wheel, coordinate axis Z u is the rotation axis of the grinding wheel, the grinding wheel only performs the main motion of rotation, and its coordinate system is fixed in space.

[0167] The coordinate system OXYZ is a fixed coordinate system, O u O is the common vertical line between the rotary axis of the grinding wheel and the axis of the worm.

[0168] The coordinate system of the worm is O 1 x 1 Y 1...

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Abstract

The invention discloses a precise modeling method of a Niemann worm wheel. The method comprises the steps that basic parameters of a worm of the worm wheel are set; an annular face equation of a sanding wheel is set up; a meshing equation of a worm of the sanding wheel is set up; a worm gear face equation is set up; a worm wheel worm meshing equation is set up; a coordinate formula of a contact point is obtained according to the worm gear face equation and the worm wheel worm meshing equation, and then a contact point set is obtained through a numerical method; the contact point set is guided into three-dimensional software to generate a worm wheel entity. The method has the advantages that point cloud is directly obtained through the numerical method, therefore, a smooth curve face of a worm wheel gear face is constructed, a good foundation is built for the worm wheel shape correction technology, and the thought can be used for modeling of other kinds of cylindrical worm pairs.

Description

technical field [0001] The invention relates to an accurate modeling method of a Niemann worm gear. Background technique [0002] Worm gear transmission is a type of transmission characterized by compact size and large speed ratio. One stage can replace multi-stage cylindrical gear transmission, and it can be arranged in a small space. It is widely used in modern industry. Worm gear transmission includes three categories: cylindrical worm transmission, toroidal worm transmission and conical worm transmission. The former includes Archimedes cylindrical worm transmission (ZA), normal straight profile cylindrical worm transmission (ZN), involute cylindrical worm Transmission (ZI), cone enveloping cylindrical worm drive (ZK) and arc cylindrical worm drive (ZC). [0003] ZC 1 The type worm drive was invented by Professor Niemann of Germany (also known as the Niemann worm drive). It is a double-enveloping cylindrical worm drive: the tooth surface of the worm is enveloped by an a...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50G06T17/00
CPCG06F30/17G06T17/00
Inventor 吴海兵孙全平许兆美陈前亮
Owner HUAIYIN INSTITUTE OF TECHNOLOGY
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