scholarly journals NC Data Generation for Five-axis Control Machining Using Curved Interpolation - Application of Five-dimensional Non-uniform B-spline Curve.

1999 ◽  
Vol 65 (12) ◽  
pp. 1740-1744 ◽  
Author(s):  
Seiji TAKAHASHI ◽  
Koichi MORISHIGE ◽  
Yoshimi TAKEUCHI
Keyword(s):  
Data Generation ◽  
B Spline ◽  
Spline Curve ◽  
Nc Data ◽  
Five Axis

A Study on Five Flank Machining of Centrifugal Compressor Impellers

1999 ◽  
Vol 124 (1) ◽  
pp. 177-181 ◽  
Author(s):  
D. M. Tsay ◽  
H. C. Chen ◽  
M. J. Her
Keyword(s):  
Centrifugal Compressor ◽  
Cost Efficiency ◽  
Coordinate Transformations ◽  
B Spline ◽  
Spline Curve ◽  
Machining Center ◽  
Curve Interpolation ◽  
The Cost ◽  
Five Axis ◽  
Surface Construction

Referring to machining technologies used for turbomachinery components, generally there are two cutting strategies: point cutting and flank cutting. Based on considerations of the cost, efficiency, and surface roughness, flank cutting by using a five-axis machining tool is a promising way to machine blade surfaces of turbomachinery components constructed by ruled surfaces. In this article, a flank cutting technology for centrifugal compressor impellers is developed by using the B-spline curve interpolation, ruled surface construction, and coordinate transformations. Also, an impeller with 12 blades is actually machined to verify the proposed approach by using a five-axis machining center.

A Study on Five-Axis Flank Machining of Centrifugal Compressor Impellers

2000 ◽  
Author(s):  
Der Min Tsay ◽  
Huo Chu Chen ◽  
Ming Jane Her
Keyword(s):  
Centrifugal Compressor ◽  
Cost Efficiency ◽  
Coordinate Transformations ◽  
B Spline ◽  
Spline Curve ◽  
Machining Center ◽  
Curve Interpolation ◽  
The Cost ◽  
Five Axis ◽  
Surface Construction

Referring to machining technologies used for turbomachinery components, generally there are two cutting strategies: point cutting and flank cutting. Based on considerations of the cost, efficiency, and surface roughness, flank cutting by using a five-axis machining tool is a promising way to machine blade surfaces of turbomachinery components constructed by ruled surfaces. In this article, a flank cutting technology for centrifugal compressor impellers is developed by using the B-spline curve interpolation, ruled surface construction, and coordinate transformations. Also, an impeller with twelve blades is actually machined to verify the proposed approach by using a five-axis machining center.

An additional branch free algebraic B-spline curve fitting method

2010 ◽  
Vol 26 (6-8) ◽  
pp. 801-811 ◽  
Author(s):  
Mingxiao Hu ◽  
Jieqing Feng ◽  
Jianmin Zheng
Keyword(s):  
Curve Fitting ◽  
B Spline ◽  
Spline Curve ◽  
Fitting Method ◽  
Additional Branch ◽  
Curve Fitting Method

scholarly journals Analysis of B-Spline Curve Using Discrete Fourier Transform

2010 ◽  
Vol 15 (1) ◽  
pp. 127-136 ◽  
Author(s):  
Ashok Ganguly ◽  
Pranjali Arondekar
Keyword(s):  
Fourier Transform ◽  
Discrete Fourier Transform ◽  
B Spline ◽  
Spline Curve

scholarly journals A fast algorithm for cubic B-spline curve fitting

1994 ◽  
Vol 18 (3) ◽  
pp. 327-334 ◽  
Author(s):  
Kuo-Liang Chung ◽  
Wen-Ming Yan
Keyword(s):  
Curve Fitting ◽  
Fast Algorithm ◽  
B Spline ◽  
Spline Curve

scholarly journals Quasi Cubic Trigonometric Curve and Surface

2019 ◽  
Author(s):  
Guicang Zhang ◽  
Kai Wang
Keyword(s):  
Partition Of Unity ◽  
Shape Features ◽  
Bernstein Basis ◽  
Order Continuity ◽  
B Spline ◽  
Spline Curve ◽  
Totally Positive ◽  
Chebyshev Space ◽  
Spline Basis ◽  
Cutting Algorithm

Firstly, a new set of Quasi-Cubic Trigonometric Bernstein basis with two tension shape parameters is constructed, and we prove that it is an optimal normalized totally basis in the framework of Quasi Extended Chebyshev space. And the Quasi-Cubic Trigonometric Bézier curve is generated by the basis function and the cutting algorithm of the curve are given, the shape features (cusp, inflection point, loop and convexity) of the Quasi-Cubic Trigonometric Bézier curve are analyzed by using envelope theory and topological mapping; Next we construct the non-uniform Quasi-Cubic Trigonometric B-spline basis by assuming the linear combination of the optimal normalized totally positive basis have partition of unity and continuity, and its expression is obtained. And the non-uniform B-spline basis is proved to have totally positive and high-order continuity. Finally, the non-uniform Quasi Cubic Trigonometric B-spline curve and surface are defined, the shape features of the non-uniform Quasi-Cubic Trigonometric B-spline curve are discussed, and the curve and surface are proved to be continuous.

The quadratic B-spline curve fitting for the shape of log cross sections

2006 ◽  
Vol 17 (2) ◽  
pp. 150-152 ◽  
Author(s):  
Hong’e Ren ◽  
Yan Wu ◽  
Xiao-ming Zhu
Keyword(s):  
Cross Sections ◽  
Curve Fitting ◽  
B Spline ◽  
Spline Curve
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