Three-point circle method parameter self-adaptive interpolation algorithm applied to numerical control machine tool

An interpolation algorithm and circular interpolation technology, applied in the field of CNC machine tools, can solve the problems of reducing the amount of calculation, complex solution process, and large amount of calculation, so as to improve the quality and efficiency of interpolation, simplify the calculation of interpolation, and solve the process simple effect

Active Publication Date: 2015-12-09
GUANGDONG SONGSHAN POLYTECHNIC COLLEGE
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  • Application Information

AI Technical Summary

Benefits of technology

This patented technique helps improve the accuracy and effectiveness of inserting curved lines into an object's surface during machining operations. It involves optimizing the selection of intersections for different types of curvatures without relying solely upon predetermined values or assumptions about them. Additionally, this approach simplifies the calculations involved while also ensuring accurate insertion of these curved line segments onto the workpiece being processed. Overall, this improves overall performance and productivity of manufactured objects such as LED lamps.

Problems solved by technology

In order for interpolated algorithms to achieve precise shape fitting within complex surfaces like curved parts, there must exist multiple ways to choose which neighboring points should receive an insertion into them based upon specific criteria such as minimum distance from any given reference vertex (known) and maximum overlap area around these vertices). However, current techniques require considerable computational resources and time during calculations due to the complexity involved in selecting optimal neighbors. Therefore, improved strategies aim at reducing computation while maintaining accuracy.

Method used

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  • Three-point circle method parameter self-adaptive interpolation algorithm applied to numerical control machine tool
  • Three-point circle method parameter self-adaptive interpolation algorithm applied to numerical control machine tool
  • Three-point circle method parameter self-adaptive interpolation algorithm applied to numerical control machine tool

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Embodiment 1

[0028] When pressing and other parameters The method takes three points D, E, F on the curve, , then the coordinates of the three points are known, respectively D ( , ), E ( , ), F ( , ), then the coordinates of the center point C of the circle passing through the three points ( , ) can be obtained, and the radius R of the circle can also be obtained. Take the middle point H of the parameters of the two points D and E, and take the middle point I of the parameters of E and F, then the parameter of the H point pair is , the parameter of point I is , the coordinates of its H and I points are H ( , ), I ( , ), are known, then the distance from point H to the center C of the circle can be calculated , the distance from point I to the center C ;calculate The difference from the arc radius R , The difference from the arc radius R , and take it as the imputation error.

[0029] Compare , and the size of the allowable error value, when with

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Abstract

The invention relates to a three-point circle method parameter self-adaptive interpolation algorithm applied to a numerical control machine tool. The three-point circle method parameter self-adaptive interpolation algorithm comprises the steps of: expressing a non-circle curve equation with parameter formulas, and ensuring that each parameter is corresponding to each function value; successively getting three points D, E and F on the curve in an isoparametric manner; calculating coordinates of a circle center point of an arc passing the three points and the radius R of the arc; then deriving a discriminant for determining whether the arc is clockwise or anticlockwise, and determining whether arc interpolation at this time is clockwise or anticlockwise; finding an intermediate point H between the D point and the E point, calculating the distance [Rho]1 from the point H to the circle center, and similarly, finding an intermediate point I between the E point and the F point, and calculating the distance [Rho]2 from the point H to the circle center; respectively calculating [delta]1 and [delta]2, wherein [delta]1=absolute([Rho]1-R), [delta]2=absolute([Rho]2-R), and [delta]1 and [delta]2 are used as interpolation errors; and comparing [delta]1 and [delta]2 with an allowable error [delta]<allowable>. The three-point circle method parameter self-adaptive interpolation algorithm has the advantages that the interpolation calculation is simplified, the solving process is simple, the solving difficulty is small, the interpolation quality and efficiency are improved, etc.

Description

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Claims

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Application Information

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Owner GUANGDONG SONGSHAN POLYTECHNIC COLLEGE
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