Abstract The automatic guiding of a work tool on the curves of intersection of two pipes or tubes whose axes are at an acute cutting angle to each other and wherein at least one of the pipes has a noncylindrical cross section and one of the pipes rotates around its own axis, or the work tool rotates around this axis, wherein the work tool, during a relative rotation of the pipe and tool around the pipe axis with a speed of v is moved parallel to the pipe axis in accordance with the following equation: IN WHICH R the radius of the latter-mentioned pipe; R THE RADIUS OF THE OTHER PIPE; Alpha THE SHARP ANGLE UNDER WHICH THE AXES OF BOTH PIPES ARE INTERSECTING EACH OTHER; phi THE ANGLE BY WHICH THE PIPE R is rotated; D R A W I N G
A METHOD FOR AUTOMACALLY GUIDING A CUTTING TOOL ON THE CURVE OF INTERSECTION OF TWO PIPES, ONE OF WHICH HAS A NONCYLINDRICAL CROSS SECTION AND IN WHICH THE AXES OF THE PIPES ARE AT AN ACUTE CUTTING ANGLE TO EACH OTHETHER, COMPRISING THE STEPS OF: EFFECTING RELATIVE ROTATION BETWEEN ONE OF THE PIPES AND THE CUTTING TOOL ABOUT THE AXIS OF THE PIPE, AND MOVING THE CUTTING TOOL ALONG THE PIPE AXIS WITH A SPEED OF V PARALLEL TO THE PIPE AXIS IN ACCORDANCE WITH THE FOLLOWING EQUATION:
Claim 2
Independent Claim
88 words
A METHOD FOR AUTOMACALLY GUIDING A CUTTING TOOL ON THE CURVE OF INTERSECTION OF TWO PIPES, ONE OF WHICH HAS A NONCYLINDRICAL CROSS SECTION AND IN WHICH THE AXES OF THE PIPES ARE AT AN ACUTE CUTTING ANGLE TO EACH OTHETHER, COMPRISING THE STEPS OF: EFFECTING RELATIVE ROTATION BETWEEN ONE OF THE PIPES AND THE CUTTING TOOL ABOUT THE AXIS OF THE PIPE, AND MOVING THE CUTTING TOOL ALONG THE PIPE AXIS WITH A SPEED OF V PARALLEL TO THE PIPE AXIS IN ACCORDANCE WITH THE FOLLOWING EQUATION:
Claim 3
Dependent Claim
18 words
The method as claimed in claim 1 in which said one pipe is rotated around its own axis.
Claim 4
Dependent Claim
21 words
The method as claimed in claim 1 in which said cutting tool is rotated around the axis of said one pipe.
Claim 5
Dependent Claim
47 words
The method as claimed in claim 1 in which the square root from the sum of the squares of the relative speed of one point of the surface to the cutting tool and the speed of the tool parallel to the axis of the pipe is constant.