A cutting tool body includes a first member and a second member, both having a substantially cylindrical shape, and arranged such that a tool body central axis coincides with a central axis of each of the first and the second members. The first member has a tool characteristic of a first magnitude and the second member has the tool characteristic of a second magnitude, different from the first magnitude. The cutting tool body includes a transition member arranged between the first and second members and connected at a first end to the first member and at a second end to the second member. The tool characteristic in the transition member is of the first magnitude at the first end and of the second magnitude at the second end. The transition member has a transition region between the first and the second ends in which the tool characteristic transforms from the first magnitude to the second magnitude.

A cutting tool body includes a first member and a second member, both having a substantially cylindrical shape, and arranged such that a tool body central axis coincides with a central axis of each of the first and the second members. The first member has a tool characteristic of a first magnitude and the second member has the tool characteristic of a second magnitude, different from the first magnitude. The cutting tool body includes a transition member arranged between the first and second members and connected at a first end to the first member and at a second end to the second member. The tool characteristic in the transition member is of the first magnitude at the first end and of the second magnitude at the second end. The transition member has a transition region between the first and the second ends in which the tool characteristic transforms from the first magnitude to the second magnitude.

A method for designing a cylindrical skiving tool without a geometric relief angle is provided. The method includes: designing a teeth number and a crossed shaft angle of a tool; calculating a barrel-shaped conjugate surface conjugated to a tooth surface of a to-be-machined gear; determining an offset of a rake face of the cylindrical skiving tool from a middle section of the barrel-shaped conjugate surface; designing a helix angle of the tool; designing a rake angle of the tool; calculating an edge profile of the rake face; obtaining design parameters and mounting parameters of the skiving tool; manufacturing the tool according to the design parameters of the tool, and performing skiving on a skiving machine according to the mounting parameters of the tool. The present disclosure provides a skiving method under a spatially-offset conjugate condition, to solve the problems of fast accuracy degradation and short service life.

A method for designing a cylindrical skiving tool without a geometric relief angle is provided. The method includes: designing a teeth number and a crossed shaft angle of a tool; calculating a barrel-shaped conjugate surface conjugated to a tooth surface of a to-be-machined gear; determining an offset of a rake face of the cylindrical skiving tool from a middle section of the barrel-shaped conjugate surface; designing a helix angle of the tool; designing a rake angle of the tool; calculating an edge profile of the rake face; obtaining design parameters and mounting parameters of the skiving tool; manufacturing the tool according to the design parameters of the tool, and performing skiving on a skiving machine according to the mounting parameters of the tool. The present disclosure provides a skiving method under a spatially-offset conjugate condition, to solve the problems of fast accuracy degradation and short service life.