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Space corner smoothing method based on three-dimensional generalized Euler spiral

A Euler spiral and generalized technology, which is applied in the field of space corner smoothing based on three-dimensional generalized Euler spiral, can solve problems such as inability to smooth space corners

Active Publication Date: 2019-12-03
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

[0006] In order to overcome the problem that existing corner smoothing methods cannot smooth space corners, the present invention provides a space corner smoothing method based on a three-dimensional generalized Euler spiral

Method used

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  • Space corner smoothing method based on three-dimensional generalized Euler spiral
  • Space corner smoothing method based on three-dimensional generalized Euler spiral
  • Space corner smoothing method based on three-dimensional generalized Euler spiral

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Embodiment Construction

[0057] The present invention will now be further described in conjunction with the embodiments and drawings:

[0058] Reference Figure 1-7 . Select the tool path as a three-dimensional bowl-shaped path, in particular, the path includes G02 / G03 commands and space corners. The method of the invention is used to perform corner smoothing on the track, and the preset maximum smoothing error is 100um. Using the cubic acceleration method to plan the speed of the unsmoothed trajectory and the smoothed trajectory respectively, and obtain the speed curve and processing time of the two.

[0059] The specific steps of the spatial corner smoothing method based on the three-dimensional generalized Euler spiral of the present invention are as follows:

[0060] Step 1. Calculate the normal vector of the adjacent straight line segment or arc segment of the kth corner at the corner of space:

[0061]

[0062] v 1 Is the tangent vector of the previous line or arc at the corner, v 2 Is the tangent ve...

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Abstract

The invention relates to a space corner smoothing method based on a three-dimensional generalized Euler spiral. The method comprises the following steps: firstly, through coordinate rotation, enablinga tangent plane of adjacent straight line sections or arc sections at a space corner to be parallel to an XY plane; then, letting the three-dimensional generalized Euler spiral be same with third-order derivatives of the straight line sections or the arc sections at end points, and calculating each parameter of the three-dimensional generalized Euler spiral; calculating the distance between the three-dimensional generalized Euler spiral and each straight line section or arc section by adopting a Newton method, and limiting the distance within a tolerance allowable range by adopting a secant method; and finally, through coordinate inverse rotation, making the adjacent straight line sections or arc sections and the three-dimensional generalized Euler spiral switched to the original positions to obtain a smoothed space corner. The method realizes smoothing of a tool trajectory, of which the adjacent straight line sections or arc sections are not in the same plane, that is, the tool trajectory containing the space corner, and can be applied to trajectory pretreatment of a numerical control machine tool, so that the machining efficiency is improved.

Description

Technical field [0001] The present invention relates to the technical field of CNC machine tool processing. The present invention relates to a method for smoothing spatial corners in a tool path of a CNC machine tool, in particular to a method for smoothing spatial corners based on a three-dimensional generalized Euler spiral. Background technique [0002] Literature 1 "W. Wang, C. Hu, K. Zhou, S. He, (B.6) Corner trajectory smoothing with asymmetrical transition profile for CNC machine tools, International Journal of Machine Tools and Manufacture 144 (2019)." A method of using asymmetric transfer curves to achieve corner smoothing. This method realizes the smooth transition of the tool path by inserting an asymmetric transition curve in the corner of the tool path. However, this method is only applicable to the smoothing of tool paths containing only G01 commands, that is, tool paths containing only straight segments, and cannot be applied to the smoothing of tool paths contain...

Claims

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Application Information

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IPC IPC(8): G05B19/401
CPCG05B19/401G05B2219/34242
Inventor 张卫红肖群宝万敏刘洋
Owner NORTHWESTERN POLYTECHNICAL UNIV
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