End mill and planning tool’s profiling for generation of discreetly known helical surfaces

Abstract

The helical surfaces, especially those with identically anti-homologous flanks, may be generated with end mill tools. The constructive advantages and the using domain of these tools are known.
In this paper, are presented an algorithm, based on the Bezier approximation polynomials for the tool’s profiling designated to generate helical surfaces. The algorithm regarding a reduced number of points on the in-plane generatrix of the helical surface to be generated (3 or 4 points) may constitute a simple and fast variant for this tool’s profiling. Is analysed the cylindrical tool’s profiling -planning tools- for helical surface in the same approach manner. Are presented numerical examples, based on a software dedicated for this problem and realized in the java programming language, which proof the proposed method quality, versus a theoretically method.