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Abstract

This article predicts the vibrostability of a multidimensional dynamic machine tool-workpiece- tool system in the course of the planning-designing process. Mathematical models of both the machine tool and the cutting process were built according to the principles presented in Part I. The analysis involves a vertical lathe model made out of rigid finite elements. For the chosen variant of cutting, the graphs of absolute values of the vibrostability limit are determined from two different models of the cutting process. A computer-animated film, generated in the course of the analytical work, displays the machine vibration at the vibration stability limit. Also presented is how particular machine elements participate in the vibration of the tool and the workpiece. The analysis allows the authors to indicate a weak (for the sake of the vibrostability) point within the mass-damping-spring system of the machine.

Keywords

Machine tool dynamics vibrostability working processes modeling

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References

Marchelek, K. , 1991, Machine Tool Dynamics, Wydawnictwo NaukowoTechniczne, Warsaw, Poland (in Polish).

Marchelek, K. and Tomków, J. , 1998, "Vibrostability of a multidimensional machine tool-workpiece-tool system, part I: Modeling the mechanical structure and cutting process," Journal of Vibration and Control 4(2), 99-112.

Kruszewski, J. , Gawronski, W. , Wittbrodt, E. , Najber, F. , and Grabowski, F. , 1975, Rigid Finite Elements Method, Arkady , Warsaw, Poland (in Polish).

Kudinov, V.A. , 1967, Machine Tool Dynamics, Masinostrojenie , Moskva, Russia (in Russian).

Pajor M. , Bodnar, A. , and Tomków, J. , 1996, "Comparative analysis of results of experimental and analytical investigations into vibrostability of milling," in Proceedings of the VII International Congress on the Theory of Machines and Mechanisms , Technical University of Liberec, Czech Republic, pp. 429-434.

Pajor, M. , Tomków, J. , and Witek, A. , 1993, "Machine tool vibrostability calculations in DOUNO System ," Archives of Mechanical Engineering and Automatization 12, 301-321 (in Polish).

Szwengier G. , 1994, "Modeling and design calculations of machine tool slideway systems," Scientific Works of Technical University of Szczecin 512, 1-280 (in Polish).

Tomków, J. , 1991, "Fundamentals of design calculations of vibration stability of multidimensional machine tool system making especial allowance for modelling cutting process dynamics," Scientific Works of Technical University of Szczecin 429, 1-133 (in Polish).

Tomków, J. , 1996, "Simulation test of self-excited vibration development in machine tools," in Proceedings of the 2nd European Nonlinear Oscillations Conference-EUROMECH-2nd ENOC, Institute of Thermomechanics, Praque, Czech Republic, pp. 463-466.

10.

Zars, V.V. , 1967, "Stability of the systems with time delay force versus cutting speed," Dynamics and Strength Problems 15, 69-82 (in Russian).

Vibrostability of a Multidimensional Machine Tool-Workpiece-Tool System,Part II: An Example of Vibrostability Analysis Made on a Vertical Lathe

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