A method of dividing interval based on spline tool path curvature

Abstract

A method for dividing an interval based on the curvature of a spline tool path, comprising the following steps: step 1: obtaining a spline tool path; step 2: calculating an extreme point and an inflection point of the trajectory, and setting the extreme point and the inflection point as x (x=a , b, c), assuming that point a is an extreme point or an inflection point, calculate the curvature ρ of the extreme point or inflection point a a ; Step 3: Set the curvature difference threshold M, and calculate the curvature ρ of the adjacent points of the extreme point or inflection point a, assuming |ρ a ‑ρ|<M, then the point is close to the curvature of the extreme point or inflection point, and can be classified into the same speed planning interval; Step 4: If |ρ a ‑ρ|<M, then go back to step 3, otherwise go to step 5; step 5: take the extreme point or inflection point a as the end point, assuming that the end points on both sides of the extreme point or inflection point are C and D, the extreme value points are included Or the division interval of the inflection point a is [C a , D a ]; Step 6: According to Step 3-5, divide all the speed planning intervals of the extreme point b and the inflection point c that meet the conditions. The present invention can reasonably carry out speed planning and meet the needs of speed planning in the same speed interval.

Description

technical field [0001] The invention relates to a curvature division method, in particular to a curvature division method based on a spline tool path. Background technique [0002] CNC machine tools are as important tools as machinery in the process of processing and production, in which the tool is an essential part of the machine tool. [0003] After years of efforts and development, the speed planning of the tool path can be solved by many methods, but how to plan the speed of the tool path reasonably is still relatively difficult at present. Due to the limitations of the existing methods, and in order to facilitate the division of the speed planning interval through simple curvature extreme points, it is difficult to carry out reasonable speed planning for the tool path. In addition, the requirement of speed planning in the same speed interval is difficult to achieve, and there will be a situation where the points with little curvature change cannot be concentrated in o...

AI Technical Summary

Problems solved by technology

[0003] After years of hard work and development, the speed planning of the tool path can be solved by many methods, but how to reasonably plan the speed of the tool path is still relatively difficult

Due to the limitations of existing methods, and in order to divide the speed planning interval through simple curvature extreme points, it is difficult to make reasonable speed planning for the tool path.

In addition, the requirements for speed planning in the same speed range are difficult to achieve, and there will be situations where the points with little curvature change cannot be concentrated in one range, which has a certain impact on how to reasonably plan the speed of the tool trajectory

Images