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Method for processing PH spline transition linear path with G2 continuity

A processing method and continuous technology, applied in the field of sharp corner transition and interpolation technology of linear paths, can solve the problems of low real-time performance, no physical meaning of parameters, and large fluctuation of tangential velocity during interpolation, etc., to achieve guaranteed Continuity, the effect of avoiding pauses

Active Publication Date: 2020-09-25
CHINA UNIV OF PETROLEUM (EAST CHINA)
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Problems solved by technology

However, the parameters of these transition curves generally have no physical meaning and cannot establish a direct relationship with the arc length
Therefore, Taylor's first-order interpolation or predictive correction method has to be used for interpolation, the real-time performance is not high, and it is easy to cause large fluctuations in tangential velocity during interpolation

Method used

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  • Method for processing PH spline transition linear path with G2 continuity
  • Method for processing PH spline transition linear path with G2 continuity
  • Method for processing PH spline transition linear path with G2 continuity

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Embodiment Construction

[0046] Below in conjunction with accompanying drawing and embodiment example, the present invention will be described in further detail

[0047] Read N sharp corners from the entire linear path into the look-ahead buffer, for example figure 1 Any one of the pointed angles ∠AP shown c B. Establish a PH spline transition model, which is based on a 5-degree Bezier control polygon. There are six required control points, which are line segments point P on 0 ,P 1 ,P 2 , the line segment point P on 3 ,P 4 ,P 5 .

[0048]According to the definition of PH spline, if the polynomial C(s)=(x(s), y(s)) is a PH spline, there is a polynomial σ(s), satisfying in, To ensure that the designed Bezier curve is a PH spline, let P 1 and P 2 Coincident, P 3 and P 4 coincide, At the same time, it is also necessary to ensure that the constructed transition PH spline itself is G2 continuous, and the connection with the adjacent short line segments can also maintain G2 continuity. Th...

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Abstract

The invention relates to a method for processing a PH spline transition linear path with G2 continuity. The method comprises the following steps: reading a part of path from a look-ahead area, designing a global transition scheme according to constraint conditions, and forming a mixed path consisting of a short line segment and a PH spline; performing feed rate planning on the mixed path by usingseven sections of S-shaped speed planning and constant speed planning respectively; during interpolation, adopting a mixed scheme of linear interpolation and parameter interpolation . According to thePH spline transition method based on G2 continuity designed by the invention, global optimization of corner transition can be realized in a look-ahead range, a corresponding feed rate planning and interpolation scheme can be used according to a linear path and a parameter path, the advantage that the arc length of the PH spline can be accurately calculated is fully utilized, and the machining precision and efficiency are improved.

Description

technical field [0001] The invention belongs to the field of numerical control processing, and relates to a sharp angle transition method based on quintic Pythagorean-hodograph splines and a mixed curve interpolation method, which are used to improve the quality and speed of G01 command processing, specifically a sharp angle of a linear path Angular transition and interpolation techniques. Background technique [0002] The path of curve processing in NC machining is generally divided into linear path and free curve path. Due to the imperfect interpolation method of free curve path, many machine tools still use short line segments and arcs to approximate the path to be processed. Especially the path approached by short line segments, also called linear path, will produce sharp corners at the connection of line segments when approaching. These sharp corners are not necessary, their existence will not only cause burrs on the surface of the workpiece, but also cause frequent s...

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Application Information

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IPC IPC(8): G05B19/41G05B19/416
CPCG05B19/41G05B19/4166G05B2219/34083G05B2219/34135Y02T90/00
Inventor 赵凯康忠健郑世超王聪聂云良
Owner CHINA UNIV OF PETROLEUM (EAST CHINA)
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