Point-Vector Quadratic Envelope Method for Determining the Profile of Helical Surface by Generating Tool

A helical surface and quadratic envelope technology, applied in digital control, electrical program control, etc., can solve the problems of poor versatility of geometric methods, difficult interference processing, complex modeling, etc., to eliminate overcut and interference phenomena, and facilitate programming Implementing and modeling simple effects

Inactive Publication Date: 2018-02-06
CHONGQING UNIV
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Problems solved by technology

[0004] The conjugate axis method based on the single-parameter surface family envelope principle is the mainstream method, which has problems such as complex modeling and difficult solution; the element elimination method belongs to the double-parameter curve family envelope, which has a large amount of calculation and is difficult to deal with interference; the geometric method has poor versatility

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  • Point-Vector Quadratic Envelope Method for Determining the Profile of Helical Surface by Generating Tool
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  • Point-Vector Quadratic Envelope Method for Determining the Profile of Helical Surface by Generating Tool

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Embodiment Construction

[0022] The present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments.

[0023] Taking the grinding of standard involute helical gears with worm grinding wheels as an example, the point-vector quadratic envelope method for determining the profile of the processed helical surface by generating tools includes the following steps:

[0024] 1) Point discretization is carried out on the section profile of the worm wheel shaft, and the profile line of the section profile of the worm wheel shaft is discretized according to the equal arc length discretization criterion to obtain a series of plane points evenly distributed on the profile line.

[0025] 2) Calculate the space normal vectors of all the discrete points on the grinding wheel surface according to the geometric characteristics of the generating tool, then all the discrete points and their corresponding normal vectors constitute a series of point vectors. ...

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Abstract

The invention belongs to the field of manufacturing a spiral curved surface, and relates to a point vector double-enveloping method for determining a machined spiral curved surface profile with an expanding tool.The method includes the steps that point dispersion is conducted on a profile bus of the expanding tool according to an equalization criterion, and normal vectors on dispersion points are added to form point vectors; a spiral motion trail of the point vectors along the curved surface of the tool and a straight line along the axis of the tool are expanded into a motion trail to conduct dispersion, the double-enveloping method of the planar point vectors is set up, the points, with the smallest directed distance from a gear, in a two-dimension point vector group is determined as enveloping points, and finally all the enveloping points are constructed into the machined spiral curved surface profile in a fitting mode.

Description

technical field [0001] The invention belongs to the field of manufacturing spiral curved surfaces, in particular to the field of designing and manufacturing spiral curved surfaces with generating tools, and relates to a method for determining the profile of processed spiral curved surfaces by generating tools. Background technique [0002] Spiral curved surface is the most widely used curved surface in engineering. It is mainly used in gears, worms, spiral blades and corresponding processing grinding wheels. Because the forming method is more intuitive and has the characteristics of high precision, the forming method has become the main method for processing spiral curved surfaces. one of the ways. Most of the existing forming grinding wheels use rotary grinding wheels, and there is a spatial mapping relationship between the forming section of the rotary grinding wheel and the processed spiral surface profile, so the calculated contour accuracy of the forming sand has a grea...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B19/19
CPCG05B19/19
Inventor 王时龙何坤李国龙商楠
Owner CHONGQING UNIV
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