COMPLEX THERMO-MECHANICAL ANALYSIS OF EXTERNALLY DRIVEN MAIN SPINDLES – A CASE STUDY

George CONSTANTIN, Constantin DOGARIU, Claudiu-Florinel BÎȘU, Andrei GHEORGHIȚĂ, Dragoș AROTĂRIȚEI, Ionuț Gabriel GHIONEA

Abstract


Abstract: The article treats a main spindle-bearing assembly that operates at high speeds from the perspective of complex modeling. The simulation of the dynamic and thermo-mechanical behavior is considered. Some important contributions are highlighted regarding the complex simulation of the main spindle. Mathematical modeling of heat generation in radial-axial angular contact ball bearings is treated. The heat generated is considered the source in the FEM models. The article approaches a case study of the main spindle of a milling machining center with speeds up to 9000 rpm. The experimental results regarding the temperatures of the bearings for various speeds with and without cooling of the casing and dynamic measurements are achieved. The CAD model of the main spindle studied is generated and imported into the FE program. Based on the mathematical model of the heat, the model is loaded with the bearings and belt drive heat sources and, as a result of the simulation, the overall temperatures is obtained. The situations without cooling (up to 4000 rpm) and with cooling 4000-8500 rpm are considered. The simulated values almost overlap with those measured, so that the model is validated. The thermal deformations for the cooled and non-cooled assembly are obtained by simulation. The natural frequencies are obtained by dynamic simulation and compared with the working ones. The conclusions emphasize an algorithm for experimental research combined with mathematical modeling and numerical analysis through FEA and specific aspects related to the functionality of the assembly.

Key words Main Spindle, Angular Contact Ball Bearing, Heat Transfer, Thermal Parameters, FEA.


Full Text:

PDF

References


Constantin, G., Chapter: Virtual în concepţia și exploatarea de mașini-unelte și sisteme de mașini, in Modelare-Simulare-Proiectare în domeniul mașinilor-unelte și sistemelor de mașini (Virtual in design and operation of machine tools and machine systems, in Modeling-simulation-design in machine tools and machine systems), Ed. Constantin, G., Printech Publishing House, Bucharest, pp. 979, 2014.

Altintas, Y., Brecher, C., Weck, M., & Witt, S., Virtual machine tool, CIRP Annals-Manufacturing Technology, 54(2), pp. 115−138, 2005.

Lin, C. W., Lin, Y. K., & Chu, C. H., Dynamic models and design of spindle-bearing systems of machine tools: A review, International journal of precision engineering and manufacturing, 14(3), 513‒521, 2013.

Jiang, S. and Mao, H., Investigation of Variable Optimum Preload for a Machine Tool Spindle, International Journal of Machine Tools and Manufacture, Vol. 50, No. 1, pp. 19‒28, 2010.

Kim, S. M. and Lee, S. K., Prediction of Thermo-Elastic Behavior in a Spindle-Bearing System Considering Bearing Surroundings, International Journal of Machine Tools and Manufacture, Vol. 41, No. 6, pp. 809‒831, 2001.

Lin, C. W., Tu, J. F., and Kamman, J., An Integrated Thermo-Mechanical-Dynamic Model to Characterize Motorized Machine Tool Spindles During Very High Speed Rotation, International Journal of Machine Tools and Manufacture, Vol. 43, No. 10, pp. 1035‒1050, 2003.

Altintas, Y. and Cao, Y., Virtual Design and Optimization of Machine Tool Spindles, CIRP Annals-Manufacturing Technology, 54, 379‒382, 2005.

Friswell, M. I., Penny, J. E., Garvey, S.D., & Lees, A.W., Dynamics of rotating machines, Cambridge University Press, 2010.

Tiwari, R., Rotor systems: analysis and identification, CRC Press, 2017.

Harris T. A., Rolling bearing analysis, Wiley, 2001.

Genta, G., Vibration of Structures and Machines, 3rd edition, Springer, 1999.

Bossmanns, B., Thermo-Mechanical Modeling of Motorized Spindle Systems for High Speed Milling, PhD. Dissertation, Purdue University, 1997.

Bossmanns, B., and Tu, J. F., A power flow model for high speed motorized spindles ‒ heat generation characterization, J. Manuf. Sci. Eng., 123(3), pp. 494‒505, 2000.

Hongqi Li, Yung C. Shin, Integrated Dynamic Thermo-Mechanical Modeling of High Speed Spindles, Part 1: Model Development, Journal of Manufacturing Science and Engineering 126(1), pp. 148‒157, 2004.

Hongqi Li, Yung C. Shin, Integrated Dynamic Thermo-Mechanical Modeling of High Speed Spindles, Part 2: Solution Procedure and Validations, Journal of Manufacturing Science and Engineering 126(1), pp.159‒168, 2004.

Jorgensen, B. R., and Shin, Y. C., Dynamics of machine tool spindle/bearing systems under thermal growth, Journal of Tribology, 119(4), pp. 875‒882, 1997.

Jedrzejewski, J., and W. Kwasny, Modelling of angular contact ball bearings and axial displacements for high-speed spindles, CIRP annals, 59(1), pp. 377‒382, 2010.

Uhlmann, E. and Hu, J., Thermal modelling of a high speed motor spindle, Procedia CIRP, 1, pp. 313‒318, 2012.

Liu, D., Zhang, H., Tao, Z., and Su, Y., Finite element analysis of high-speed motorized spindle based on ANSYS, The Open Mechanical Engineering Journal, 5(1), 2011.

Hung, J. P., Lai, Y. L., Luo, T. L., & Su, H. C., Analysis of the machining stability of a milling machine considering the effect of machine frame structure and spindle bearings: experimental and finite element approaches, The International Journal of Advanced Manufacturing Technology, 68(9-12), pp. 2393‒2405, 2013.

Holkup, T., Cao, H., Kolář, P., Altintas, Y., and Zelený, J., Thermo-mechanical model of spindles, CIRP annals, 59(1), pp. 365‒368, 2010.

Than, V. T., and Huang, J. H., Nonlinear thermal effects on high-speed spindle bearings subjected to preload, Tribology International, 96, pp. 361‒372. 2016.

Brecher, C., Shneor, Y., Neus, S., Bakarinow, K., and Fey, M., Thermal behavior of externally driven spindle: Experimental study and modelling, Engineering, 7(02), pp. 73‒92, 2015.

Zheng, D., and Chen, W., Thermal performances on angular contact ball bearing of high-speed spindle considering structural constraints under oil-air lubrication, Tribology International, 109, pp. 593‒601, 2017.

Nakajima, K., Thermal contact resistance between balls and rings of a bearing under axial, radial, and combined loads, Journal of thermophysics and heat transfer, 9(1), pp. 88‒95, 1995.

Cao, Y., and Altintas, Y., A general method for the modeling of spindle-bearing systems, Journal of mechanical design, 126(6), pp. 1089‒1104, 2004.

Antoine, J-F., G. Abba, and A. Molinari, A new proposal for explicit angle calculation in angular contact ball bearing, pp. 468‒478, 2005.

Jin, C., Wu, B., and Hu, Y., Heat generation modeling of ball bearing based on internal load distribution, Tribology International, 45(1), pp. 8‒15, 2012.

Kim, J. D., Zverv, I., and Lee, K. B., Thermal model of high-speed spindle units, Intelligent Information Management, 2(05), pp. 306‒315, 2010.


Refbacks

  • There are currently no refbacks.


JOURNAL INDEXED IN :