# FRICTION ANALYSIS IN CASE OF THE CARRIAGE- FEED SHAFT CINEMATIC COUPLING AT CNC LATHE

## Authors

• Daniel Popescu Faculty of Mechanics, University of Craiova, Romania

## Keywords:

Friction Analysis, Carriage, Feed Shaft, Cinematic Coupling, CNC Lathe, Routh-Hurwitz Criterion

## Abstract

The paper presents a mathematical model for analysis of friction between the tool bearing saddle and conductor at CNC lathe. The analysis of longitudinal advance movement laws is performed taking into account the appearance and development of disturbing harmonic forces created by auto-vibrations determined by the interaction between the partial elastic systems of tool and workpiece. The friction force is emphasized as product of two components depending on the sliding speed and on the normal disturbing force. By establishing the dynamic response of the system, when the normal force depends linearly on speed, acceleration and mobile ensemble position, the premises are created for stability analysis of the friction movement, obtaining the limit speeds under which the stick-slip phenomenon occurs. Thus, it is provided for a rational design of CNC lathe elastic structure, in order to improve the surface quality and the dimensional precision.

## References

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J. Dietrich, Micro-mechanics of Slip Instabilities with Rate- and State- dependent Friction, Eos, Trans. Am. Geophys. Union, Fall Meeting Abstract Volume, pag.324, 1991.

P. Dupont and E. Dunlop, Friction Modeling and Control in Boundary Lubrication, American Control Conference, San Francisco CA, June, pag.1910-1914, 1993.

C. Ispas and D. Popescu, Mathematical model for dynamic analysis of the saddle-conductor cinematic coupling, XXV National Conference on Solid Mechanics, Brasov, 1998.

D. Popescu and C. Ispas, Stability analysis of the sliding process between the components of the saddle-conductor coupling at internal grinding machines, XXV National Conference on Solid Mechanics, Brasov, 1998.

2020-06-15

## How to Cite

Popescu, D. (2020). FRICTION ANALYSIS IN CASE OF THE CARRIAGE- FEED SHAFT CINEMATIC COUPLING AT CNC LATHE. International Journal of Engineering Technologies and Management Research, 7(5), 30–37. https://doi.org/10.29121/ijetmr.v7.i5.2020.671

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