An Interpolation Algorithm Based on S-Curve Feedrate Profile and Look-Ahead Function

Abstract

In this paper, a novel interpolation algorithm for high speed machining is presented, which integrates S-curve acceleration/deceleration method in look-ahead function. A time division based speed planning method is used to implement discrete S-curve acceleration/deceleration method. The implementation of the proposed algorithm is given out. The proposed algorithm improves the processing efficiency and avoids the shock of machine tools caused by frequent acceleration and deceleration. The experiment shows that the proposed algorithm satisfies the requirements of interpolation accuracy and machining efficiency in high speed machining.

Efficient Planning and Solving Algorithm of S -Shape Acceleration and Deceleration

“…The velocity value interval is divided into six sections and interval 0-5 by five key numerical points. The time expression (8) and formula (10) are suitable in interval 1, and the corresponding displacement expression is formula (16); the time expressions ( 7) and ( 10) are suitable in interval 2, and the corresponding displacement expression is formula (14); the time expressions ( 7) and ( 9) are suitable in interval 3, and the corresponding displacement expression is formula (15). Then, the piecewise function is obtained: According to the definition of the function continuity, let y = sðvÞ exist in a certain field of point v 0 ; when v → v 0 , if the limit of the function sðvÞ exists and is equal to its function value at point v 0 ,that is lim v→v 0 sðvÞ = sðv 0 Þ, then function y = sð vÞ is continuous at point v 0 .…”

“…Only interval 1 makes sense. The time expression (8) and equation ( 10) in interval 1 are suitable, and the displacement expression is the same as equation (17).…”

“…This method is based on the jerk constraint. The curves of displacement, velocity, and acceleration are composed of cubic, quadratic, and linear functions, respectively, and all of them are continuous without deviation [7,8].…”

“…Only interval 1 makes sense. The time expression(8) and equation (10) in interval 1 are suitable, and the displacement expression is the same as equation(17). Case 4 and case 5 express the situation when V e > V s + ðA 2 /JÞ, as shown in Figure8.…”

Design and Implementation of a Precision CNC Turn-Mill Machining Center Controller

“…Machining program generated by the CAD/CAD system composes a large number of small line blocks to approximate the complex surfaces, which limits the machining speed and efficiency. In order to improve the machining efficiency, an interpolation algorithm with Look-ahead function is designed [7,8,9].…”