Matrix model of accuracy in machining conical surfaces on CNC lathes

The article presents the development of a matrix model for accuracy in machining conical surfaces on
CNC lathes. Spatial computational schemes of elastic displacements of technological subsystems were
constructed based on the balance of force interaction between the cutting tool and the workpiece. These
schemes cover both single-tool setups with a rotating carriage and single-tool two-coordinate setups.
Additionally, models of dimensional distortions were developed, taking into account the
characteristics of the setups, and were analyzed based on cutting conditions, cone angle, and the
comprehensive compliance characteristics of the technological systems. It is also possible to calculate
setup parameters using the proposed models. The developed models can be applied in computer-aided
design (CAD) systems for machining conical surfaces on CNC lathes, as well as for studying and
predicting the influence of various parameters on the dimensional accuracy achieved during conical
surface machining.