유한요소해석 모델을 이용한 스핀들 유닛의 열변형 예측
Abstract
High-speed machining is essential in the manufacturing field, and it involves the removal of material through rotational and translational tool motion. Existing methods used for simulating the thermomechanical behavior of spindle systems in machining require extensive calculations owing to the geometry complexity and thermomechanical properties. This article presents a simplified model of an angular contact ball bearing and a simulation method for predicting the thermomechanical behavior of a spindle system. A commercially available software, ANSYS, was used to analyze the coupled behavior. The Matrix27 element was adopted to substitute the stiffness/damping characteristics of the angular contact ball bearing. Validated values of the thermal contact conductance for the contact option were adjusted to match the measured thermal characteristics of angular contact ball bearings. Experimental measurements of the temperature and deformation of a spindle were used to verify the simulated results for several preload conditions.
Keywords:
FEM, Bearing, Thermo-mechanical deformation, Spindle unit, AnsysAcknowledgments
이 논문은 한국연구재단의 기초연구사업 지원(과제번호: 2021R1I1A1A01051407, 2022R1A2C3007963) 및 과학기술정보통신부가 출연금사업으로 지원한 4대 과기원 협력사업인 중소기업 R&D공유센터의 도움(과제번호: A0801043001)으로 수행되었습니다
References
- Jorgensen, B. R. and Shin, Y. C., 1998, Dynamics of Spindle-bearing Systems at High Speeds Including Cutting Load Effects, J. Manuf. Sci. Eng.-Trans. ASME, 120:2 387-394. [https://doi.org/10.1115/1.2830138]
- Krulewich, D. A., 1998, Temperature Integration Model and Measurement Point Selection for Thermally Induced Machine Tool Errors, Mechatronics, 8:4 395-412. [https://doi.org/10.1016/S0957-4158(97)00059-7]
- Bossmanns, B., Tu, J. F., 1999, A Thermal Model for High Speed Motorized Spindles, Int. J. Mach. Tools Manuf., 39:9 1345-1366. [https://doi.org/10.1016/S0890-6955(99)00005-X]
- Cao, Y., Altintas, Y., 2004, A General Method for the Modeling of Spindle-Bearing Systems, J. Mech. Des., 126:6 1089-1104. [https://doi.org/10.1115/1.1802311]
- Abele, E., Altintas, Y., Brecher, C., 2010, Machine Tool Spindle Units, CIRP Ann-Manuf. Technol., 59:2 781-802. [https://doi.org/10.1016/j.cirp.2010.05.002]
- Holkup, T., Cao, H., Kolář, P., Altintas, Y., Zelený, J., 2010, Thermo-mechanical Model of Spindles,CIRP Ann-Manuf. Technol., 59:1 365-368. [https://doi.org/10.1016/j.cirp.2010.03.021]
- Zahedi, A., Movahhedy, M. R., 2012, Thermo-mechanical Modeling of High Speed Spindles, Sci. Iran., 19:2 282-293. [https://doi.org/10.1016/j.scient.2012.01.004]
- Wang, P., Lei, C. L., Zhou, B. C., Zhao, W. P., 2013, Finite Element Analysis for Thermal Characteristics of High Speed Angular Contact Ball Bearing, Appl. Mech. Mater., 397-400 126-130. [https://doi.org/10.4028/www.scientific.net/AMM.397-400.126]
- Liu, J., Zhang, P., 2018, Thermo-mechanical Behavior Analysis of Motorized Spindle based on a Coupled Model, Adv. Mech. Eng., 10:1. [https://doi.org/10.1177/1687814017747144]
- Shuzi, Y., 1980, A Study of the Static Stiffness of Machine Tool Spindles, Int. J. Mach. Tools Manuf., 21:1 23-40. [https://doi.org/10.1016/0020-7357(81)90011-1]
- Terman, T., Bollinger, J., 1965, Graphical Method for Finding Optimum Bearing Span for Overhung Shafts, Mach. Des., 37:12 159-162.
- Nelson, H., 1980, A Finite Rotating Shaft Element using Timoshenko Beam Theory, J. Mech. Des., 102:4 793-803. [https://doi.org/10.1115/1.3254824]
- Min, X., Shuyun, J., Ying, C., 2007, An Improved Thermal Model for Machine Tool Bearings, Int. J. Mach. Tools Manuf., 47:1 53-62. [https://doi.org/10.1016/j.ijmachtools.2006.02.018]
- Deping, L., Hang, Z., Zheng, T., Yufeng, S., 2011, Finite Element Analysis of High-Speed Motorized Spindle Based on ANSYS, The Open Mechanical Engineering Journal, 5 1-10. [https://doi.org/10.2174/1874155X01105010001]
- Chen J. S., Chen K. W., 2005, Bearing Load Analysis and Control of a Motorized High Speed Spindle, Int. J. Mach. Tools Manuf., 45:12-13 1487-1493. [https://doi.org/10.1016/j.ijmachtools.2005.01.024]
- Jiang, S., Mao, H., 2010, Investigation of Variable Optimum Preload for a Machine Tool Spindle, Int. J. Mach. Tools Manuf., 50:1 19-28. [https://doi.org/10.1016/j.ijmachtools.2009.10.001]
- Harris, T. A., Kotzalas, M. N., 2007, Rolling Bearing Analysis, 5th ed, CRC/Taylor & Francis, Boca Raton, FL. [https://doi.org/10.1201/9781482275148]
- Kreith, F., Manglik, R. M., Bohn, M., Tiwari, S., 2011, 2011 Principles of heat transfer, 7th ed, Cengage Learning, CT.
Assistant Professor of Mechanical Convergence Engineering at Gyeongsang National University. His research interests mainly include characterization of composite and multiscale manufacturing.
E-mail: jseo7717@gnu.ac.kr
Professor of Mechanical Engineering at Ulsan National Institute of Science and Technology. His research interests lie in the synthesis and fabrication of multi-functional composite and the advanced manufacturing system.
E-mail: hwpark@unist.ac.kr