An accurate adaptive parametric curve interpolator for NURBS curve interpolation

2006 ◽  
Vol 32 (9-10) ◽  
pp. 999-1008 ◽  
Author(s):  
Daoshan Du ◽  
Yadong Liu ◽  
Cunliang Yan ◽  
Congxin Li
Keyword(s):  
Parametric Curve ◽  
Nurbs Curve ◽  
Curve Interpolation

Research on Acceleration/Deceleration in NURBS Curve Interpolation

2013 ◽  
Vol 281 ◽  
pp. 94-98
Author(s):  
Su Mei Gao ◽  
Fu Yuan Mu ◽  
Li Ming Zheng
Keyword(s):  
Machining Accuracy ◽  
Mechanical Shock ◽  
Cnc Machine Tool ◽  
Practical Application ◽  
Cnc Machine ◽  
Parametric Curve ◽  
Nurbs Curve ◽  
Accuracy Requirement ◽  
Look Ahead ◽  
Curve Interpolation

A non-uniform rational B-spline (NURBS) parametric curve interpolation and S-shape acceleration/deceleration (ACC/DEC) for CNC machine tool were studied. In the proposed algorithm, the commanded velocity is maintained at most of the time and adaptively reduced in large curvature areas to meet the demand of the machining accuracy requirement, while at the same time, a S-shape look ahead algorithm is proposed to limit the acceleration and jerk values within the machine’s capabilities during the whole interpolation process. It reduces mechanical shock to the machine tools. The real time performance of this interpolator is also measured to demonstrate its practical application. A NURBS curve interpolation experiments is provided to verify the feasibility and advantages of the proposed algorithm.

scholarly journals Modelling and Rapid Prototyping of Centrifugal Pump Impeller Based on UG

2019 ◽  
Vol 291 ◽  
pp. 02009
Author(s):  
Yongmei Jiang ◽  
Zilong Wang ◽  
Zhao Jingnan
Keyword(s):  
Rapid Prototyping ◽  
Centrifugal Pump ◽  
3D Model ◽  
Pump Impeller ◽  
Innovative Design ◽  
Design Modification ◽  
Nurbs Curve ◽  
Curve Interpolation ◽  
Centrifugal Pump Impeller

The 3D model of centrifugal pump impeller in Unigraphics (UG) was optimized by implementing the principles of NURBS curve interpolation. The impeller was then manufactured by rapid prototyping equipment using polystyrene. The technique improves the efficiency in innovative design, modification, and fabrication.

The Research of High-Precision Interpolation for Complex Trajectory of SCARA Robot Based on NURBS

2011 ◽  
Vol 130-134 ◽  
pp. 147-153 ◽  
Author(s):  
Liang Zhao ◽  
Kai Qiang Chen ◽  
Zhi Zheng Zhang
Keyword(s):  
High Precision ◽  
Interpolation Method ◽  
Industrial Robot ◽  
Computational Cost ◽  
Nurbs Curve ◽  
Scara Robot ◽  
Curve Interpolation ◽  
Point Interpolation Method ◽  
Point Interpolation ◽  
Point To Point

The traditional interpolation methods can’t get high-precision result for the path planning of industrial robot, to solve this problem, this paper presented a new interpolation method based on NURBS curve. The paper established the kinematics transformation matrix of SCARA robot, put forward the principle of NURBS curve interpolation, and described the details of trajectory planning for industrial robot in the rectangular space. Finally, the method mentioned in the paper was tested and compared with point to point interpolation method by Matlab simulations, the result showed that the method mentioned in the paper can reduce the interpolation error and the computational cost markedly.

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.

Development of a Forging-Type Rapid Prototyping System (Tool Path Generation Considering Deformation Process)

2010 ◽  
Vol 4 (6) ◽  
pp. 530-535 ◽  
Author(s):  
Naoki Asakawa ◽  
◽  
Hidetake Tanaka ◽  
Keyword(s):  
Rapid Prototyping ◽  
Deformation Process ◽  
Degrees Of Freedom ◽  
Tool Path ◽  
Industrial Robot ◽  
Tool Path Generation ◽  
Path Generation ◽  
Parametric Curve ◽  
Curve Interpolation ◽  
Rapid Prototyping System

This study deals with the development of a CAM system that considers the deforming process for a forgingtype rapid prototyping system. An industrial robot that has high degrees of freedom is employed to handle the hammering unit. A special CAM system suitable for the hammering work is developed using parametric curve interpolation. The tool path is generated considering continuity in order to avoid fracture or breakage. Using the system, metal hammering experiments are carried out. The system successfully shaped workpieces according to the generated path. The experimental results confirm the ability of the system to improve, owing to the parametric curve interpolation, forming properties.

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
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