Efficient side edge finish-milling machining method based on Niemann worm wheel mathematical model

A mathematical model and processing method technology, applied in the field of CAM, can solve the problems of large tool swing angle range, low surface quality and high cost

Active Publication Date: 2019-04-12
HUAIYIN INSTITUTE OF TECHNOLOGY
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Due to the complex characteristics of the Niemann worm gear tooth surface, in current production practice, spherical cutter point milling is mostly used for tooth surface finishing, but this processing method has problems such as long processing cycle and high cost
In view of the problems existing in spot milling, we tried comm

Method used

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  • Efficient side edge finish-milling machining method based on Niemann worm wheel mathematical model
  • Efficient side edge finish-milling machining method based on Niemann worm wheel mathematical model
  • Efficient side edge finish-milling machining method based on Niemann worm wheel mathematical model

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Embodiment

[0066] A high-efficiency side edge finish milling method based on the Niemann worm gear mathematical model, comprising the following steps:

[0067] Step 1: Solve the maximum normal curvature of a meshing point on the worm tooth surface;

[0068] Based on the principle of gear meshing and calculus geometry, the mathematical model of the Niemann worm pair is established in the three-dimensional software, is the equation of the tooth surface of the worm, where ψ represents the radial position of the point on the tooth surface of the worm, Indicates the axial position of the point on the tooth surface of the worm. Through the known worm tooth surface equation and the coordinates of a certain contact point, combined with the calculation formula of the basic quantity, the first and second basic quantities of the curved surface are obtained; k of the principal curvature of the surface g1 、k g2 :

[0069]

[0070] Among them, k n is the curvature value, k n 2 is the squa...

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Abstract

The invention discloses an efficient side edge finish-milling machining method based on a Niemann worm wheel mathematical model. The method comprises the following steps that (1) the maximum normal curvature of a certain contact point of a worm toothed surface is solved; (2) the induced normal curvature of a certain contact point of two conjugate toothed surfaces of a worm and a worm wheel in thenormal direction of a contact line is solved; (3) the maximum normal curvature and the minimum curvature radius of a certain contact point of a worm wheel toothed surface are solved; (4) the minimum curvature radius of the worm wheel toothed surface is solved; (5) the tool path feeding length is determined; (6) the distance between adjacent tool path rows is determined; (7) the cutter-axis vectorof an end mill is solved; (8) the cutter location point of the end mill is solved; and (9) interference checking and treatment are performed. According to the Niemann worm wheel efficient side edge finish-milling machining method provided by the invention, the problems that point milling machining is long in period and high in cost are effectively solved; and since the side surface milling machining adopts cutter side surface cutting, the number of feeding times can be effectively decreased on the premise of the equal scallop height, and accordingly, the machining efficiency is improved.

Description

technical field [0001] The invention belongs to the technical field of CAM, and in particular relates to a high-efficiency side edge finishing milling method based on a Niemann worm gear mathematical model. Background technique [0002] With the advancement of computer and control technology, digital manufacturing technology has developed rapidly, and profound changes have taken place in the production mode and industrial structure of the manufacturing industry, and the modern manufacturing industry has taken on a new look. Nieman worm gear transmission has the advantages of high transmission precision, high transmission efficiency and long service life, and is currently widely used in metallurgy, mining, environmental protection and other industries. The Niemann worm pair was invented by Professor Niemann of Germany (also known as ZC1 worm drive). It is a double-enveloping cylindrical worm drive. The worm tooth surface is enveloped by an arc-shaped grinding wheel, which is ...

Claims

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Application Information

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IPC IPC(8): B23F11/00B23C3/10
CPCB23C3/10B23F11/00
Inventor 孙全平张政吴海兵杨帆王昆
Owner HUAIYIN INSTITUTE OF TECHNOLOGY
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