Profiling of Revolution Surfaces Tool for Generation of Helical Surfaces Expressed in Polyhedral Form-End Mill Tool-

Abstract

The profiling of tools bounded by revolution surfaces – disc tool, end mill tool and ring tool – is based on fundamental theorems of the surfaces enwrapping. There are situations when the surfaces are known by sampled points, often determined by measuring on coordinate measuring machines. There are known algorithms for the approximation of these discreet points, on the helical surface, using Bezier polynomials or B-spline curves. Such an algorithm is presented in this paper and relying on that algorithm and on the polyhedral representation of the surface measured software programming in Java language was realized. Certain numerical applications for profiling the disc tool or end-milling tool, reciprocally enwrapping with these surfaces represented by sampled points are also presented.