Spline – Approximate Methode for Solution of Rverse Profile Problem in Space

Abstract

Profiling is one of the important problems in mechanical engineering and industry because of its large applications in the field of cutting tool. Most papers and researches deal with the problem of profiling of involute profile .The problem of direct profile design consists in determination of profile tool if profile of gear is defined. This paper deal with problem of determination non – involute profile for helical surface in which profile of tool is defines and this problem called the reverse profile problem .There are very large applications of this problem in cutting tool, for example cutting of helical surface (flutes)of twist drill with disc (wheel) tool and generating of helical surface for hops with disc (wheel) tool. To solve this problem,we use transformation method for determination profile of helical surface and spline – approximate method for describing initial profile of tool.