Dynamic model of a boring tool with floating cutter blocks

The article discusses the operation of fine boring with self-positioning tools as tools with a constructively implemented adaptation system. The authors establish the main sources of error of the technological system; sources of error shape of the holes in the workpiece; error of the workpiece in the machine. The mathematical model describing the process of boring self-aligning tools is created basing on a mathematical model of processing in the form of a closed technological system. Floating cutter blocks are regarded as completely rigid body relative to the tool body having one degree of freedom. General parameters characterizing the structure of a boring tool with floating cutter blocks are their number; the pressing force of each of the insi-cal unit in the tool body; friction coefficients of cutting blocks in the tool body; the number of cutting elements disposed on each side of the incisal block. Components of the cutting forces are presented in the form of fixed and variable parts. The variable part of the components of the cutting force is presented in the form of a Fourier series. The formalization of the profile of the hole takes into account its error in the radial section (ovality, cut). Current coordinate describing the profile at a given point of the hole is a central angle. The resulting dynamic model of the boring tool with floating cutting blocks, which takes into account the variability of the components of the cutting force acting on each cutting element, can adequately describe his work in real time.