DETERMINING THE BALANCE CONFIGURATION, IN CASE OF THE OSCILLATING MOVEMENT OF THE MAIN SPINDLE AT CNC LATHE

  • Daniel Popescu Faculty of Mechanics, University of Craiova, Romania
Keywords: Oscillating Movement, Main Spindle, CNC Lathe, Balance Configuration

Abstract

In the paper we present a mathematical model through which are determined the balance conditions, needed for the stability analysis of the oscillating movement of the main spindle at CNC lathe. We take into account Hamilton's variation principle, the axiom of impulse derivative and the axiom of kinetic moment derivative. We present the general movement equations that generate the oscillations based on the calculus hypotheses, performing the introduction of the external solicitations. Establishment of the balance configuration is done by imposing the conditions that the system of forces that act upon the ensemble spindle – bearings - tool causes a deformation of the spindle, without producing spindle vibration. We obtain the new differential equations of the movement, in which the forces and moments are determined from the static case, based on which we can determine the integration constants in the characteristic points of the main spindle.

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References

Popescu, D., Theoretical and Experimental Contributions Regarding Improvement of The Processing Precision at Internal Grinding Machines, 1999, PhD Thesis, University of Bucharest, p.95-97.

Shin, Y., C., Bearing Nonlinearity and Stability Analysis in High-Speed Machining, 1992, Trans. ASME J. Engr. For Industry, vol.114, p.23-30. DOI: https://doi.org/10.1115/1.2899755

Wandle, F., P., Dynamic and Static Characteristics of a Wide Spread Range Machine Tool Spindle, 1983, Precision Engineering, vol.5, nr.3, p.175-183. DOI: https://doi.org/10.1016/0141-6359(83)90097-1

Abdulhani, F., A Lswede, J., Study of Vibration for CNC Machine at Difference Feed, International Journal of Advancements in Research & Technology, Volume 3, Issue 11, November -2014 21, ISSN 2278-7763.

Beards, C.F., Engineering Vibration analysis with Application to control Systems, © 1995. DOI: https://doi.org/10.1016/B978-034063183-6/50007-7

Douglas, T., Structural dynamics and vibration in practice, 2008, ©, pg1.

Published
2020-06-12
How to Cite
Popescu, D. (2020). DETERMINING THE BALANCE CONFIGURATION, IN CASE OF THE OSCILLATING MOVEMENT OF THE MAIN SPINDLE AT CNC LATHE. International Journal of Engineering Technologies and Management Research, 7(6), 41-46. https://doi.org/10.29121/ijetmr.v7.i6.2020.692