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Elliptical arc smooth compression interpolation algorithm suitable for high-speed and high-precision processing

An interpolation algorithm and elliptical arc technology, applied in the direction of electrical program control, digital control, etc., can solve the problems of high precision machining, speed fluctuation, etc., and achieve the effects of high machining accuracy and efficiency, reduced quantity, and high smoothness

Active Publication Date: 2018-05-25
SHENYANG GOLDING NC & INTELLIGENCE TECH CO LTD
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Problems solved by technology

[0006] In order to overcome the shortcomings of the direct interpolation algorithm and the existing small line segment interpolation algorithm that cannot be processed in high precision and have speed fluctuations, the purpose of the present invention is to provide a parametric spline fitting method, which can identify the processing path through the characteristics of the parametric spline curve The elliptical arc segment in the elliptical arc segment is interpolated to ensure the accuracy of machining and reduce the fluctuation of processing speed

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  • Elliptical arc smooth compression interpolation algorithm suitable for high-speed and high-precision processing
  • Elliptical arc smooth compression interpolation algorithm suitable for high-speed and high-precision processing
  • Elliptical arc smooth compression interpolation algorithm suitable for high-speed and high-precision processing

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Embodiment Construction

[0051] The present invention will be further described in detail below in conjunction with the examples.

[0052] The invention is an elliptical arc smooth compression interpolation algorithm suitable for high-speed and high-precision machining, which divides the machining path into a non-continuous micro-line segment processing area and a continuous micro-line segment processing area according to the double-bow height error limit. For the non-continuous small line segment processing area, the interpolation calculation is directly performed on the straight line segment formed by adjacent command points to ensure the processing accuracy. For the continuous small line segment processing area, according to the curvature value of the discrete command point, the curvature extreme point and the inflection point are fitted, and the broken line processing path is converted into a smooth quadratic rational Bézier curve processing path; then, the quadratic rational Bézier curve is used ...

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Abstract

The invention relates to an elliptical arc smooth compression interpolation algorithm suitable for high-speed and high-precision processing. The elliptical arc smooth compression interpolation algorithm includes the following steps: identifying continuous minimal line segment processing areas; selecting, among the continuous minimal line segment processing areas, data points and carrying out fitting on the data points to obtain a quadratic rational Bezier curve; identifying elliptical arcs on the basis of features of the curve, and conducting geometrical transformation on the elliptical arcs;combining the adjacent elliptical arcs belonging to the same ellipse and obtaining an interpolation curve; and carrying out elliptical arc interpolation on the interpolation curve. On the basis of thefeatures of the spline curve, the elliptical arcs in a processing path are identified, and interpolation is carried out by using geometrical forms of the elliptical arcs. In this way, interpolation parameters corresponding to the arc length can be calculated accurately, computational complexity and frequent fluctuations of speed during processing can be reduced, and high-speed and high-precisionprocessing can be realized.

Description

technical field [0001] The invention relates to the fitting of parametric spline curves in high-quality machining and the identification and combination of elliptical arc segments, and belongs to the technical field of numerical control machining. Background technique [0002] The ellipse is a kind of conic section, which is more common in the workpiece processing program. Since the calculation of the arc length of an ellipse involves the elliptic integral problem, and its original function cannot be expressed in a finite form, it is impossible to directly interpolate the ellipse accurately. And because of its strong engineering practicability, scholars at home and abroad have conducted extensive research on it. [0003] Such as the mapping method, the ellipse is mapped to a certain plane, making it projected into a circle, interpolating the circle, and then using coordinate transformation to obtain the interpolation point on the ellipse. In the centrifugal angle increment...

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Application Information

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IPC IPC(8): G05B19/4103
CPCG05B19/4103
Inventor 吴文江李浩黄艳韩文业郭安韩旭
Owner SHENYANG GOLDING NC & INTELLIGENCE TECH CO LTD
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