ROLLING OF A DEVELOPABLE HELICOID OF THE SCREW LINE ALONG ITS BENDING

A very common helical surface in various mechanisms is a straight closed helicoid or screw conoid, known the technical field as screw. Considering wide application of screws, there are methods their production (winding, rolling, stamping, stretching flat rings welded together on shaft). Since conoid nondevelopable, ring an approximate sweep screw, since exact does not exist. During formation turn from ring, plastic deformations occur it, caused by transformation developable into nondevelopable one. 
 It differential geometry that any can be bent revolution. For such catenoid. The paper presents parametric equations for continuous bending catenoid conoid. proposed to replace compartment catenoid, which corresponds given one with truncated cone. this cone form considered blank forming comparative analysis sizes obtained method according formulas reference literature were made. Although differences, but they practically insignificant.
 As result study improvement process proposed. In existing rings, several sector and then stretched obtain same number turns. Welded put shaft, end fixed it (for example, welding), other desired size. With method, twisting workpiece around axis shaft taken account. necessary bend cones separate sectors, weld them together, only stretch them. case, twist angle already embedded cones.