ISSN 1842-3183

 
 
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□ Volume No. 3, 2008

 

 

 

 

 

 

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New edition 2009

 

Proceedings of the 17th International Conference on Manufacturing Systems – ICMaS

Published by Editura Academiei Române, ISSN 1842-3183

Volume No. 3, 2008

University POLITEHNICA of Bucharest, Machine and Manufacturing Systems Department

Bucharest, Romania, 13-14 November, 2008

 

pp. 235-238

 

Algorithm to profile rack-tool for profiles known in discrete form by using Bezier polynomial approximations
 

Nicolae OANCEA, Gabriel FRUMUŞANU

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Abstract: The methods used to profile rack-tool reciprocal enwrapped to a whirl of cylindrical or helical surfaces, as possibility to do the constructive design of tools to cut gears teeth, require knowing the analytical form of profiles to be generated. Practical necessities can, sometimes, impose us to solve this problem when only a limited number of points from generated profiles are known in discrete form. A solution to such a problem can be enounced if using Bezier polynomial approximation of rack-tool profile. This paper presents the rack-tool profiling problem enouncement together to a specific algorithm which allows finding rack-tool profile by using Bezier polynomial approximation together with fundamental theorems concerning profiles associated to rolling centrods enwrapping.

 

Key words: rack-tool profile, Bezier approximation, discrete points.

 

Authors:

PhD, Nicolae OANCEA, Professor, “Dunărea de Jos” University of Galati, Manufacturing Science and Engineering Department,

E-mail: nicolae.oancea@ugal.ro.

PhD, Gabriel FRUMUSANU, Professor, “Dunărea de Jos” University of Galati, Manufacturing Science and Engineering Department,

E-mail: gabriel.frumusanu@ugal.ro

  

Electronic mail: orgcom@icmas.eu   /   General Information:  http://www.edition2009.icmas.eu/