ESTABLISHING THE EQUATIONS THAT GENERATE THE VIBRATION MOVEMENT OF THE MAIN SPINDLE IN TRANSVERSAL DIRECTION AT CNC LATHE
The paper presents a mathematical model for determining the movement equations that generate the transversal vibration of the main spindle at CNC lathe. For this purpose, we take into account the general equations which generate the vibration of the spindle, obtained by means of Hamilton’s Variational Principle as well as the impulse derivative and kinetic moment axioms. The solutions to the movement equations are arranged under the form of a system of first order partial derivatives equations, for which we determine the integration constants. This original way of establishing these equations allows further analysis of the main spindle vibrations in transversal direction and finding ways to decrease the vibration amplitude.
Ispas, C., Mohora, C., Pupaza, C. – Machine tools vibrations, Politehnica University, Bucharest, 1993.
Kudinov, V.A. – Dynamics of machine tools, Editura Tehnica, Bucharest, 1970.
Magheţi, I., Savu, M. – Theory and practice of mechanical vibrations, Editura Didactica si Pedagogica, R.A., Bucharest, 2007.
Voinea, R., Stroe, I. – Introduction to dynamic systems theory, Romanian Academy Press, Bucharest, 2000.
Popescu, D., Bolcu, D., Rizescu, S. – Establishment of The Movement Equations Which Define the Vibrations of The Spindle At Internal Grinding, The 10th DAAAM International Symposium, Vienna, Austria, 21-23 October 1999, pp. 445-447.
Popescu, D. – Theoretical and Experimental Contributions Regarding Improving the Processing Precision At Internal Grinding Machines, PhD Thesis, Univ. P.R., Bucharest, 1999, pp. 87-90.
Popescu, D., Ghionea, A. – Analysis of The Vibration of The Main Spindle In Transversal Direction At Internal Grinding, Acta Univesitas CIBINIENSIS Vol. XXXVII, pp. 147-151.
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