pythagorean hodographs
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2009 ◽  
Vol 626-627 ◽  
pp. 339-344
Author(s):  
Wei Xiao Tang ◽  
X.D. Zhang ◽  
L. Wang

It is becoming general that the contour of part is defined with free-form curves for abrasive waterjet cutting. In this paper, the effect of the traverse speed on cut surface quality is discussed. After that, the free-form Pythagorean Hodographs (PH) curve is defined and its main characteristics are discussed. A new CNC interpolator capable of driving the nozzle along the PH curves at the feedrate adaptable of the curvature of the contour is presented. The taper shape or jet lag can be minimized with it through the variation of the traverse speed. Experimental data indicate that a decrease of about 58 per cent in kerf taper angle can be obtained under a given condition.


2009 ◽  
Vol 44 (4) ◽  
pp. 307-332 ◽  
Author(s):  
Rida T. Farouki ◽  
Carlotta Giannelli ◽  
Alessandra Sestini

2009 ◽  
Vol 44 (2) ◽  
pp. 161-179 ◽  
Author(s):  
Rida T. Farouki ◽  
Carlotta Giannelli ◽  
Alessandra Sestini

2002 ◽  
Vol 19 (6) ◽  
pp. 395-407 ◽  
Author(s):  
Rida T. Farouki ◽  
Mohammad al-Kandari ◽  
Takis Sakkalis

1999 ◽  
Vol 16 (8) ◽  
pp. 739-753 ◽  
Author(s):  
Hwan Pyo Moon

1990 ◽  
Vol 34 (5) ◽  
pp. 736-752 ◽  
Author(s):  
R. T. Farouki ◽  
T. Sakkalis

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