Journal of the Japan Society of Precision Engineering
Print ISSN : 0374-3543
Automatic Determination of Tool Path by Penalty Method
Basic Theory and 2-dimentional Convex Profile Problem
Yukinori KAKAZUNorio OKINOKoichi HOSHI
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1972 Volume 38 Issue 448 Pages 436-442

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Abstract
Due to the increasing popularity of Numerical Controlled Machine Tool Systems, the development of the higher level soft wares in this field becomes necessary. Further more, direct connection between Computer-Aided Design (CAD) and Computer-Aided Manufacturing brings about a problem.
In order to cope with these situations, this paper proposes a new method on the automatic programming for NC considering the connection of both systems.
After description of the workpiece profile by “Formulated Pattern” in the process of CAD, this method makes it possible to generate automatically NC commands for the tool path.
The basic idea of this method is to establish the penalty surface arround the workpiece profile as a guide for determining the tool path.
Since, using “Formulated Pattern”, the penalty can be given such as having minimum value on the cutting point, the problem for finding tool path is reduced to that for seeking minimum on the penalty surface.
In this paper a theoretical development of this principle and practical algorithm for the determination of tool path are described with two examples, NC milling of NASA Airfoil pat-tern and plate cam designed by CAD procedure. Then, a method for collision check using same principle is described too.
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