INTEGRATED CHARACTERIZATION OF TECHNOLOGICAL SYSTEM COMPLIANCE

This paper introduces the concept of a comprehensive compliance characteristic for technological systems in metal-cutting operations. Within a full-factor model that accounts for all spatial constraints acting on a body under load, the elastic properties of deformable constraints are represented by a generalized compliance matrix. This matrix reflects not only the intrinsic elastic properties of a subsystem but also the setup parameters, including the position of the cutting force application point relative to the subsystem reference point. For a decomposed technological system, each subsystem is assigned its own compliance matrix. The complete compliance characteristic of the system is defined by a set of such matrices, the number of which depends on the number of supports in the setup. It is shown that, for practical implementation, it is sufficient to determine two basic matrices: the compliance matrix for translational displacements and the angular compliance matrix for rotational displacements. Each matrix element represents the displacement component along a specific coordinate direction caused by a unit force or moment applied along a given axis. An experimental method for determining static matrix compliance characteristics is proposed. The method is based on applying three linearly independent forces (or moments) and measuring the resulting translational and angular displacements. Solving the corresponding matrix equations yields all elements of the required compliance matrices. Approaches for dynamic and statistical evaluation are also considered. Modal analysis is identified as an effective tool for dynamic characterization, while a production-based method adapted to matrix representation enables operational assessment directly under cutting conditions on modern CNC machines.