MODELING THE ANGLE OF THE DIRECTION OF THE RESULTING DISPLACEMENT OF THE CUTTING EDGE OF THE CUTTER-OSCILLATOR

Purpose. Establishing the dependence of the angle of the direction of the resulting displacement of the cutting edge of the cutter-oscillator on the geometric parameters of the holder using various methods and substantiating the feasibility of using cutter-oscillators with single degree of freedom for targeted modeling of the influence of individual factors, such as the regenerative effect or a change in the instantaneous cutting speed. Research methods. The analytical method involved obtaining calculation formulas for determining the angle of the direction of the resulting displacement of the cutter-oscillator. For numerical modeling of the bending of the cutter-oscillator during turning, the SolidWorks and Unigraphics NX programs were used. The research was also conducted by an experimental method, in which oscillograms of the oscillations of the cutting edge were recorded, from which the static bending of the cutter-oscillator was determined. Results. Methods for determining the direction of the resulting displacement of the cutting edge of the cutter-oscillator have been developed based on analytical calculation, computer modeling, and experimental methods. Computer modeling of the bends of the cutters-oscillator has been carried out in the SolidWorks program, which made it possible to determine with high accuracy the angle of the direction of the resulting displacement of the cutting edge at different ratios of the cutter- oscillator holder dimensions. It has been shown that the optimal ratio of the height to the width of the holder (h/b > 3.3 for the oscillator X; h/b < 0.3 for the oscillator Z) provides the direction of movement with a deviation of no more than 5° from the X and Z axes, respectively. The accuracy of the computer modeling method has been experimentally confirmed, which allows it to be used for designing cutters-oscillators with specified dynamic properties. Scientific novelty. The optimal dependence of the angle of the direction of displacement of the cutting edge of the cutter-oscillator on the geometric parameters of the holder has been established, which allows controlling the orientation of oscillations during cutting. Practical value. The results of the work can be used in the design of cutters-oscillators to study the dynamics of the turning process. The developed methodology allows reducing the costs of manufacturing prototypes of cutters-oscillators due to preliminary modeling of their characteristics in the CAD/CAM environment.