PRACTICAL APPLICABILITY OF MATRIX MODELS FOR ACCURACY IN MULTI-TOOL MACHINING ON AUTOMATIC LATHES

Features and challenges of multi-tool turning operations are proposed: equipment for multi-tool turning; the level of utilization of the technological potential of multi-tool machining in mechanical engineering; achievable machining accuracy; statistics on machining parts with predominant dimensions; statistics on multi-tool configurations; dimensional-accuracy theory of multi-tool machining. Therefore, the objectives of developing a design theory for multi-tool machining, considering the capabilities of modern CNC machines, are substantiated. The article provides information on the development of matrix models for machining error in multi-tool setups with spatially arranged tools, taking into account the simultaneous effect of all cutting forces from all tools in the setup and the elastic deformations of the technological system in all coordinate directions. It is noted that these models were developed both for dimensional distortion models and scatter field models. The developed full-factorial dimensional distortion model for a dual-carriage setup allows consideration not only of planar-parallel movements of technological subsystems but also their angular displacements around reference points. The theoretical solutions obtained were tested and refined directly in the practice of machine-building plants across various industries. The results of this refinement included various methodological and regulatory recommendations, as well as the development of a methodology for determining the comprehensive compliance characteristics of the technological system — the coordinate compliance matrix and the angular compliance matrix.