Profiling disk tool for generating female rotor screw compressor component by meaning of graphical method

The paper proposes a method of profiling the disk tool generating the helical groove of the female rotor of the compressor, on the basis of a complementary theorem of enveloping surfaces, e.g. theorem "Substitution Circles Family", whose principles are developed in analytical way. On the basis of this theorem is proposed a method developed in the graphical environment Auto-CAD, in purpose to design the disk tool for profiling the female rotor and also to determinate the front view profile of this rotor, screw compressor component. Has been also detailed a numerical example for a known built compressor.