NURBS Curve Interpolation Algorithm Based on Motion Axis Control

2013 ◽  
Vol 378 ◽  
pp. 584-588
Author(s):  
Liang Bao Tang ◽  
Shuai Shuai Li ◽  
Yan Qing Liu
Keyword(s):  
Servo System ◽  
System Capacity ◽  
Interpolation Point ◽  
Interpolation Algorithm ◽  
Cnc System ◽  
Nurbs Curve ◽  
Check Calculation ◽  
Curve Interpolation ◽  
Calculation Process ◽  
Motion Characteristics

This paper based on the interpolation point check calculation process, which uses the movement aixs of the CNC system on the velocity and acceleration components checking , instead of the traditional motion characteristics of the checking calculation. In this way, we can avoid complex NURBS curve derivative computation and simplify the process of the interpolation point calibration. Therefore, it also can ensure the precision of curve machining based on curve, at the same time, the interpolation speed and acceleration control strictly in the scope of the corresponding axis servo system capacity. Whats more, we can ensure that processing does not appear too large shock and vibration at any time.

A Multi-Objective Coordinated Control Oriented New Algorithm for NURBS Curve Interpolation

2011 ◽  
Vol 305 ◽  
pp. 80-87
Author(s):  
Zi Hua Hu ◽  
You Ren Zhan ◽  
Man Ke Gao
Keyword(s):  
Machine Tools ◽  
Coordinated Control ◽  
Experimental Simulation ◽  
Interpolation Algorithm ◽  
Nurbs Curve ◽  
Chord Error ◽  
Multi Objective ◽  
Machining Quality ◽  
Curve Interpolation ◽  
Nurbs Interpolation

The coordinated control of machining quality and efficiency is the ultimate goal for the next generation NURBS curve interpolation algorithm. Recently, the existing researches on NURBS curve interpolation algorithm mainly focus on chord error, feedrate, machine tools acceleration/deceleration capability, but the reasonable matching between multi-objective’s parameter and error redundancy coordinated control has not been considered yet. Therefore, a new NURBS interpolation algorithm is proposed with multi-objective coordinated control in this paper, which does not only consider chord error, error redundancy, acceleration/deceleration capability of machine tools, real-time ability simultaneously, but also satisfy the reasonable matching between multi-objective’s parameter and error redundancy coordinated control. The results of experimental simulation indicate that the obtained new NURBS interpolation algorithm is reliable, and the coordinated control ability of machining quality and efficiency is improved obviously.

The Research of NURBS Curve Interpolation Algorithm Based on Parabolic and the First-Order Taylor Expansion Interpolation Algorithm

2014 ◽  
Vol 1003 ◽  
pp. 260-263
Author(s):  
Zhi Qiang Zhang ◽  
Wen Jin Wang ◽  
Jing Zhang ◽  
Jian Zhao ◽  
Li Ying Sun ◽  
...  
Keyword(s):  
Surface Quality ◽  
Taylor Expansion ◽  
Interpolation Error ◽  
Interpolation Algorithm ◽  
Nurbs Curve ◽  
First Order ◽  
Parabolic Interpolation ◽  
Curve Interpolation ◽  
Part Surface ◽  
Current Point

The NURBS curve interpolation algorithm based on parabolic interpolation error and the first-order Taylor expansion interpolation algorithm is proposed to improve part surface quality and chord error of NURBS curve interpolation algorithm. The part surface quality is improved effectively by the parabolic interpolation algorithm in the conduction that the previous point, the current point and the next point which was computed by the first order Taylor expansion interpolation algorithm were known. The effectiveness of this algorithm is proved by the NURBS curve interpolation simulation.

An accurate NURBS curve interpolation algorithm with short spline interpolation capacity

2012 ◽  
Vol 63 (9-12) ◽  
pp. 1257-1270 ◽  
Author(s):  
Haitao Dong ◽  
Bing Chen ◽  
Youping Chen ◽  
Jingming Xie ◽  
Zude Zhou
Keyword(s):  
Spline Interpolation ◽  
Interpolation Algorithm ◽  
Nurbs Curve ◽  
Curve Interpolation

MULTI-AXIS LINKED SERVO SYSTEM CONTOURING ERROR CONTROL APPROACH BASED ON NURBS CURVE INTERPOLATION

2011 ◽  
Vol 10 (01) ◽  
pp. 21-27 ◽  
Author(s):  
GUOYONG ZHAO ◽  
YUGANG ZHAO
Keyword(s):  
Error Control ◽  
Servo System ◽  
Numerical Control ◽  
Cnc Machine Tools ◽  
Cnc Machine ◽  
Nurbs Curve ◽  
Control Approach ◽  
Contouring Error ◽  
Curve Interpolation ◽  
Servo Controller

The contouring precision of computer numerical control (CNC) machine tools relates to whether the dynamic performances among all the axes match or not. In general, the cross-coupled controller (CCC) is a more efficient approach to enhance contouring precision than single-axis servo controller. Note that the contouring error CCC can not be separated from pathway programming in multi-axis linked servo system. In order to obtain satisfied contouring precision, the CCC approach connected with non-uniform rational basis spline (NURBS) curve interpolation is researched in detail in the paper. Above all, an "arc approximation algorithm" contouring error computing model is developed, according to the real cutter positions from each axis feedback and the interpolation dots stored in the interpolation buffer. Then the contouring error correction quantity PI control and distribution algorithm is put forward by introducing a zoom coefficient. The contrast experimental results on the CNC experiment table show that the developed CCC approach can reduce contouring error and improve tracking performance further.

scholarly journals The Real-Time Look-Ahead NURBS Curve Interpolation Algorithm

2011 ◽  
Vol 2-3 ◽  
pp. 523-526
Author(s):  
Geng Zhu Wang
Keyword(s):  
Real Time ◽  
Transition Curve ◽  
Interpolation Algorithm ◽  
Nurbs Curve ◽  
The Real ◽  
Look Ahead ◽  
Time Period ◽  
Curve Interpolation ◽  
Acceleration And Deceleration ◽  
Deceleration Time

To ensure a given chord error, through the division of the cusp, the NURBS (Non-Uniform Rational B-Splins) curve is divided into several sections and the speed of the various sections is planned accordingly. The acceleration and deceleration time period is recalculated, which results in a smooth speed transition curve.

scholarly journals Simulation of NURBS Curve Interpolation Algorithm and Five S-Phased Acceleration and Deceleration Control Algorithm

2011 ◽  
Vol 2-3 ◽  
pp. 619-623
Author(s):  
Geng Zhu Wang
Keyword(s):  
Computer Simulation ◽  
Control Algorithm ◽  
Control Method ◽  
Simulation Method ◽  
Interpolation Algorithm ◽  
Nurbs Curve ◽  
Computer Simulation Method ◽  
Curve Interpolation ◽  
Acceleration And Deceleration

The computer simulation method is used to test the correctness of the NURBS curve interpolation algorithm, through the comparison of the five S-phased curve acceleration and deceleration control method and the line acceleration and deceleration control method, to validate the superiority of the five S-phased curve acceleration and deceleration control method.

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