Research on consecutive micro-line interpolation algorithm with local cubic B-spline fitting for high speed machining

2010 ◽  
Author(s):  
Yongqiao Jin ◽  
Yuhan Wang ◽  
Jingchun Feng ◽  
Jianguo Yang
Keyword(s):  
High Speed ◽  
High Speed Machining ◽  
Interpolation Algorithm ◽  
B Spline ◽  
Spline Fitting

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

2013 ◽  
Vol 300-301 ◽  
pp. 1389-1396 ◽  
Author(s):  
Ke Zheng Sun ◽  
Xue Feng Zhou ◽  
Gong Zhang ◽  
Xian Shuai Chen
Keyword(s):  
Machine Tools ◽  
High Speed ◽  
High Speed Machining ◽  
Interpolation Algorithm ◽  
Processing Efficiency ◽  
Look Ahead ◽  
Interpolation Accuracy ◽  
Acceleration And Deceleration ◽  
S Curve ◽  
Time Division

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.

Direct Numerical Control (NC) Path Generation: From Discrete Points to Continuous Spline Paths

2012 ◽  
Vol 12 (3) ◽  
Author(s):  
Yu Liu ◽  
Songtao Xia ◽  
Xiaoping Qian
Keyword(s):  
High Speed ◽  
Numerical Control ◽  
Compact Representation ◽  
High Speed Machining ◽  
Frequent Change ◽  
B Spline ◽  
Spline Curves ◽  
Part Surface ◽  
Surface Representations ◽  
Tool Position

Spline paths in NC machining are advantageous over linear and circular paths due to their smoothness and compact representation, thus are highly desirable in high-speed machining (HSM) where frequent change of tool position and orientation may lead to inefficient machining, tool wear, and chatter. This paper presents an approach for calculating spline NC paths directly from discrete points with controlled accuracy. Part geometry is represented by discrete points via an implicit point set surface (PSS). Cutter location (CL) points are generated directly from implicit part surfaces and interpolated by B-spline curves. A computing procedure for calculating maximum scallop height is given. The procedure is general and suitable for part surfaces in various surface representations provided that the closest distance from a point to the part surface can be calculated. Our results affirm that the proposed approach can produce high-quality B-spline NC paths directly from discrete points. The resulting spline paths make it possible for directly importing discrete points into Computer Numerical Control (CNC) machines for high-speed machining.

The Interpolation Algorithm of Feed Rate Control Based on Trigonometric Acceleration-Deceleration and Machine Dynamics Conditions

2011 ◽  
Vol 201-203 ◽  
pp. 9-14
Author(s):  
Lei Jiang ◽  
Guo Fu Ding ◽  
Bin Bin Xie ◽  
Jian Min Wang
Keyword(s):  
Rate Control ◽  
Feed Rate ◽  
High Speed ◽  
High Speed Machining ◽  
Interpolation Algorithm ◽  
Impact Machine ◽  
Machine Vibration ◽  
Rate Acceleration ◽  
Rate Control Algorithm ◽  
The Impact

According to the requirements of high-speed machining, the feed rate control algorithm based on the acceleration-deceleration control and dynamics conditions is proposed. This algorithm not only satisfies the continuity of displacement, feed rate, acceleration and jerk of the feed movement, but also meets the dynamics condition of high-speed machining. Furthermore, the algorithm is applied to NURBS curve interpolation and optimizes the acceleration-deceleration intervals. At last, the algorithm is verified by simulation. This interpolation algorithm of feed rate control reduces the impact, machine vibration of feed, and improves the surface accuracy and quality of high-speed machining.

A Parametric Curve Interpolation Algorithm for High Speed Machining

2010 ◽  
Vol 458 ◽  
pp. 35-41
Author(s):  
Q.J. Liu ◽  
J.H. Yue ◽  
Y.F. Wang ◽  
J.C. Dong ◽  
Tai Yong Wang
Keyword(s):  
Machine Tools ◽  
High Speed ◽  
Error Control ◽  
High Surface ◽  
High Speed Machining ◽  
Interpolation Algorithm ◽  
Parametric Curve ◽  
First Order ◽  
Adaptive Error Control ◽  
Curve Interpolation

This paper proposed a new and effective parametric curve interpolation algorithm with error compensation capability for high speed machining. The proposed algorithm is developed from the first-order Taylor expansion interpolation algorithm and the speed-controlled interpolation algorithm. It is also incorporated the geometry features of the machined curves, the dynamic characteristics of machine tools and the adaptive error control. The proposed algorithm achieves high surface accuracy and avoids feedrate fluctuations. Simulation results have demonstrated the effectiveness and satisfactory performance of the proposed algorithm.

Real-Time B-Spline Interpolator with Look-Ahead Scheme for High-Speed CNC Machine Tools

2010 ◽  
Vol 455 ◽  
pp. 599-605
Author(s):  
Yong Qiao Jin ◽  
Yu Han Wang ◽  
Jian Guo Yang
Keyword(s):  
Real Time ◽  
High Speed ◽  
Tool Path ◽  
Cnc Machine Tools ◽  
Interpolation Algorithm ◽  
Cnc Machine ◽  
Machining Time ◽  
B Spline ◽  
Optimal Speed ◽  
Look Ahead

NC tool paths of digital CAD models are currently generated as a set of discrete data points. The CNC interpolator must convert these points into continuous machine tool axis motions. In order to achieve high-speed and high-accuracy machining, the development of a real-time interpolation algorithm is really indispensable, which can deal with a large number of short blocks and still maintain smooth interpolation with an optimal speed. In this paper, a real-time local cubic B-spline interpolator with look-ahead scheme is proposed for consecutive micro-line blocks interpolation. First, the consecutive micro-line blocks that satisfy the bi-chord error constraints are fitted into a C1 continuous cubic B-spline curve. Second, machining dynamics and tool path contour constrains are taken into consideration. Third, local cubic B-spline interpolator with an optimal look-ahead scheme is proposed to generate the optimal speed profile. Simulation and experiment are performed in real-time environment to verify the effectiveness of the proposed method. Compared with the conventional interpolation algorithm, the proposed algorithm reduces the machining time by 70%.

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