Particular Solution of Cutting Tool Path Applied on Helical Surface with Circular Profile

Abstract

The helical surface with circular profile is a special case of the torus-derivative surface, which is shaped using a rotary tool with the circular axial profile of the tool action surface. The helical surface is machined with a tool positioning, in the characteristic section, has a circular profile, owing to which the accuracy of its execution can be easily checked. This has been proved using consistently the power-law series method. A helical surface equation has been introduced in the form of an explicit function without the envelope condition.