Analytical study of the thread turning tool cutting edge point movement in the process of the taper screw thread forming

Abstract

The taper screw thread is widely used in engineering, particularly in the construction of gas and oil pipe assortments. Their manufacture and repair are performed by using turning tools, so precision of the taper helical surfaces largely depends on the accuracy of the turning tool cutting edge and its movement relative to the detail. In the article the analytical dependence of the cutting edge point movement was determined in the vector form using circular vector functions, thus making it possible to bring theoretical research close to practical application and determine the point movement trajectory of the turning tool cutting edge, velocity vectors and velocity components: the principal movement velocity and movements of longitudinal and transverse motion. On the basis of these vector formulas, the lead angle of the tapered line and the angle between the principal motion vector and resulting motion vector of the turning tool cutting edge point was determined in the article.