Orthotropic model of rolling bearing in modeling lathe spindle dynamics

• Autorzy: Tomaszewski Jan , Dunaj Paweł , Powałka Bartosz , Jasiewicz Marcin

Identyfikatory

DOI

10.15632/jtam-pl/143305

• Języki publikacji: EN

Abstrakty

EN

This paper presents a method for simplified modeling of bearing nodes of a lathe spindle using the finite element method. The proposed modeling methodology is based on the use of an orthotropic material model, which is used to reflect the stiffness properties of the bearing, both in the radial and axial directions. The modeling results have been experimentally verified. This resulted in full agreement of the mode shapes, an average relative error of the natural frequency values of 1.48% and high agreement of the receptance function.

Słowa kluczowe

EN

spindle-bearing system; roller bearing; orthotropic material; lathe; machine tool

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2022
• Tom: Vol. 60 nr 1
• Strony: 17--31
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Tomaszewski Jan

• West Pomeranian University of Technology, Department of Mechanical Engineering and Mechatronics, Szczecin, Poland
• Research and Development Department, Andrychowska Fabryka Maszyn DEFUM S.A., Andrychów, Poland

• https://orcid.org/0000-0002-5621-2091

autor

Dunaj Paweł

• West Pomeranian University of Technology, Department of Mechanical Engineering and Mechatronics, Szczecin, Poland

• https://orcid.org/0000-0001-6866-2586

autor

Powałka Bartosz

• West Pomeranian University of Technology, Department of Mechanical Engineering and Mechatronics, Szczecin, Poland

• https://orcid.org/0000-0002-6850-4614

autor

Jasiewicz Marcin

• West Pomeranian University of Technology, Department of Mechanical Engineering and Mechatronics, Szczecin, Poland

• https://orcid.org/0000-0003-4000-9942

Bibliografia

• 1. Allemang R.J., 2003, The modal assurance criterion – twenty years of use and abuse, Sound and Vibration, 37, 8, 14-23.
• 2. Cao H., Li B., Li Y., Kang T., Chen X., 2019, Model-based error motion prediction and fit clearance optimization for machine tool spindles, Mechanical Systems and Signal Processing, 133, 106252.
• 3. Cao H., Li Y., Chen X., 2016, A new dynamic model of ball-bearing rotor systems based on rigid body element, Journal of Manufacturing Science and Engineering, 138, 7.
• 4. Cao H., Niu L., Xi S., Chen X., 2018, Mechanical model development of rolling bearing-rotor systems: a review, Mechanical Systems and Signal Processing, 102, 37-58.
• 5. Cao Y., Altintas Y., 2007, Modeling of spindle-bearing and machine tool systems for virtual simulation of milling operations, International Journal of Machine Tools and Manufacture, 47, 9, 1342-1350.
• 6. Cao Y., Altintas Y., 2004, A general method for the modeling of spindle-bearing systems, Journal of Mechanical Design, 126, 6, 1089-1104.
• 7. Guay P., Frikha A., 2015, Ball bearing stiffness. A new approach offering analytical expressions, Proceedings of 16th European Space Mechanisms and Tribology Symposium, Bilbao, 23-25.
• 8. Gupta P.K., 1979, Dynamics of rolling-element bearings – Part IV: Ball bearing results, Journal of Lubrication Tribology, 101, 3, 319-326.
• 9. Guyan R.J., 1965, Reduction of stiffness and mass matrices, AIAA Journal, 3, 2, 380.
• 10. Hu G., Zhang D., Gao W., Chen Y., Liu T., Tian Y., 2018, Study on variable pressure/position preload spindle-bearing system by using piezoelectric actuators under close-loop control, International Journal of Machine Tools and Manufacture, 125, 68-88.
• 11. Hung J.-P., Lai Y.-L., Luo T.-L., Su H.-C., 2013, Analysis of the machining stability of a milling machine considering the effect of machine frame structure and spindle bearings: experimental and finite element approaches, International Journal of Advanced Manufacturing Technology, 68, 9-12, 2393-2405.
• 12. Jasiewicz M., Miądlicki K., 2019, Implementation of an algorithm to prevent chatter vibration in a CNC system, Materials, 12, 19, 3193.
• 13. Jones A.B., 1960, A general theory for elastically constrained ball and radial roller bearings under arbitrary load and speed conditions, ASME Journal of Basic Engineering, 82, 2, 309-320.
• 14. Lempriere B.M., 1968, Poisson’s ratio in orthotropic materials, AIAA Journal, 6, 11, 2226-2227.
• 15. Mul J.M. de, Vree J.M., Maas D.A., 1989, Equilibrium and associated load distribution in ball and roller bearings loaded in five degrees of freedom while neglecting friction – Part I: General theory and application to ball bearings, Journal of Tribology, 111, 1, 142-148.
• 16. Nelson H.D., 1980, A finite rotating shaft element using Timoshenko beam theory, ASME Journal of Mechanical Design, 102, 793-803.
• 17. Neumark S., 1962, Concept of Complex Stiffness Applied to Problems of Oscillations with Viscous and Hysteretic Damping, HM Stationery Office.
• 18. Peeters B., van der Auweraer H., Guillaume P., Leuridan J., 2004, The PolyMAX frequency-domain method: a new standard for modal parameter estimation, Shock and Vibration, 11, 3-4, 395-409.
• 19. Rantatalo M., Aidanpää J.O., Göransson B., Norman P., 2007, Milling machine spindle analysis using FEM and non-contact spindle excitation and response measurement, International Journal of Machine Tools and Manufacture, 47, 7-8, 1034-1045.
• 20. Ritou M., Rabréau C., Le Loch S., Furet B., Dumur D., 2018, Influence of spindle condition on the dynamic behavior, CIRP Annals, 67, 1, 419-422.
• 21. Saint-Venant J.C. de, 1863, Sur la distribution des élasticités autour de chaque point d’un solide ou d’un milieu de contexture quelconque, particuliérement lorsqu’il est amorphe sans etre isotrope, Journal de Mathématiques Pures et Appliquées, 8, 257-430.
• 22. Urbikain G., Olvera D., López de Lacalle L. N., Elías-Zúñiga A., 2016, Spindle speed variation technique in turning operations: modeling and real implementation, Journal of Sound and Vibration, 383, 384-396.
• 23. Xi S., Cao H., Chen X., 2019, Dynamic modeling of spindle bearing system and vibration response investigation, Mechanical Systems and Signal Processing, 114, 486-511.
• 24. Xi S., Cao H., Chen X, Niu L., 2018, Dynamic modeling of machine tool spindle bearing system and model based diagnosis of bearing fault caused by collision, Procedia CIRP, 77, 614-617.
• 25. Xu K., Wang B., Zhao Z., Zhao F., Kong X., Wen B., 2020, The influence of rolling bearing parameters on the nonlinear dynamic response and cutting stability of high-speed spindle systems, Mechanical Systems and Signal Processing, 136, 106448.