Five-axis B-spline cutter path arc length parameterization method based on cutter axis stability

Abstract

The invention belongs to the computer-aided machining related technology field, and discloses a five-axis B-spline cutter path arc length parameterization method based on the cutter axis stability. The method comprises the following steps that 1, cubic Bezier curves are established between every two adjacent cutter location points; 2, the cubic Bezier curves between every two adjacent cutter location points are subjected to isoparametric sampling to obtain cutter location point spline sampling points; 3, arc length parameters of the cutter location point spline sampling points are calculated to serve as arc length parameters of target sampling points of a six-dimensional space, and cutter axis vectors and arc length parameters of the cutter location points are calculated; 4, cutter axis point spline sampling points corresponding to the cutter location point spline sampling points are calculated, and then the target sampling points of the six-dimensional space are obtained; and 5, a target function is established according to the target sampling points of the six-dimensional space and the arc length parameters, and a five-axis B-spline cutter path subjected to nearly arc length parameterization is solved accordingly. According to the method, the speed fluctuation during machining is reduced, and the machining quality and efficiency are improved.

Description

technical field [0001] The invention belongs to the related technical field of computer-aided processing, and more specifically relates to a method for parameterizing the arc length of a five-axis B-spline tool path based on the stability of the tool axis. Background technique [0002] The tool trajectory of five-axis CNC machining is usually represented by a small line segment, and the tool trajectory represented by the small line segment has G1 and G2 discontinuities, and the speed and acceleration are not smooth during the machining process, thereby reducing the machining accuracy and surface quality of the part. In actual processing, a parameter curve with better continuity, such as a B-spline curve, is usually used to fit the tool trajectory represented by a small line segment. [0003] Among them, the tool trajectory expressed by the B-spline curve has the following advantages: 1. The B-spline curve is composed of control points and node vectors. Using the B-spline cur...

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Problems solved by technology

[0002] The tool trajectory of five-axis CNC machining is usually represented by a small line segment, and the tool trajectory represented by the small line segment has G1 and G2 discontinuities, and the speed and acceleration are not smooth during the machining process, thereby reducing the machining accuracy and surface quality of the part

[0004] The arc length is the most essential parameter of the curve, but the B-spline curve is not a curve with the arc length as the parameter. Due to the nonlinear relationship between the arc length and the parameters of the B-spline curve, large speed fluctuations

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