THEORETICAL DETERMINATION OF THE CENTER-OF-STIFFNESS AND THE POSITION OF THE PRINCIPAL AXES OF THE MACHINE-TOOL ELASTIC SYSTEM

摘要

A very important characteristic of the elastic system (ES) of the machine tool, which is determined by the presence of the numerous degrees of freedom, is the interdependence of the individual displacements of the ES, i.e., the coupling of its generalized coordinates. The static (elastic) coordinate coupling in the ES of the machine tool arises both between the translational displacements themselves and between the angular (rotational) displacements and the translational displacements. One of the important reasons for the appearance of the coupling is the noncoincidence of the effective external force with the direction of the principal stiffness axes of the ES. This characteristic of the ES of the machine tool as a technological system (TS) was reflected in the definition of the stiffness of the TS that was proposed in [2]. In accordance with this definition, this stiffness is the ratio of the cutting force component P{sub}y (in application to the turning operation) to the displacement along the Y axis that is determined with the action of the total cutting force.