Browse > Article
http://dx.doi.org/10.7736/KSPE.2012.29.10.1062

A Computational Modeling Reflecting Static and Dynamic Characteristics of LM Bearings for Machine Tools  

Kim, Hye-Yeon (Graduate School of Mechanics and Design Engineering, Kookmin Univ.)
Jeong, Jong-Kyu (Graduate School of Mechanics and Design Engineering, Kookmin Univ.)
Won, Jong-Jin (School of Mechanical System Engineering, Kookmin Univ.)
Jeong, Jay-Il (School of Mechanical System Engineering, Kookmin Univ.)
Publication Information
Abstract
This paper suggests a computational modeling to reflect static/dynamic characteristics of LM bearings. A theoretical study for modeling LM bearings is elucidated by using the Hertz contact theory, the Lagrange's equation of motion, normal mode analysis and a calculation of equivalent moment center. The complex geometry of LM bearings is replaced by a simplified model with eight springs only. The suggested model reflects static and dynamic characteristics of LM bearings without any consideration for the shape of the bed or stages on the LM bearings. The modal experimental results are compared to the simulation results with the suggested computational modeling. The difference between the experiments and simulation is calculated less than 8%.
Keywords
LM Bearing; Computational Modeling; Stiffness;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
연도 인용수 순위
1 Noh, K. H., Choi, Y. S., Won, J. J., and Jeong, J. I., "A Study on Linear Motion Guide of Ball Retainer Type to Simplify Modeling," Proc. of KSPE Spring Conference, pp. 463-464, 2010.
2 Choi, J. S., Yoo, J. H., Yi, Y. S., Kim, Y. Y., Lee, D. J., and Lee, S. J., "Vibration Analysis and Its Application of a Linear Motion Guide Supported by Rolling Ball Bearings," Transactions of the KSME A, Vol. 29, No. 7, pp. 955-963, 2005.
3 Wu, J. S. S., Chang, J. C., Tsai, G. A., Lin, C. Y., and Ou, F. M., "The effect of bending loads on the dynamic behaviors of a rolling guide," Journal of Mechanical Science and Technology, Vol. 26, No. 3, pp. 671-680, 2012.   DOI
4 Hung, J. P., "Load effect on the vibration characteristics of a stage with rolling guides," Journal of Mechanical Science and Technology, Vol. 23, pp. 89-99, 2009.   DOI   ScienceOn
5 Yi, Y. S., Kim, Y. Y., Choi, J. S., Yoo, J. H., Lee, D. J., Lee, S. W., and Lee, S. J., "Dynamic analysis of a linear motion guide having rolling elements for precision positioning devices," Journal of Mechanical Science and Technology, Vol. 22, No. 1, pp. 50-60, 2008.   DOI
6 Chang, J. C., Wu, J. S. S., and Hung, J. P., "Characterization of the dynamic behavior of a linear guideway mechanism," Structural Engineering and Mechanics, Vol. 25, No. 1, pp. 1-10, 2007.   과학기술학회마을   DOI
7 Wu, J. S. S., Chang, J. C., and Hung, J. P., "The effect of contact characteristic on dynamic behaviors of rolling contact elements," Mathematics and Computers in Simulation, Vol. 74, No. 6, pp. 454-467, 2007.   DOI
8 Lee, S. Y. and Lee, J. M., "A Study on the Dynamic Modeling of Bearing Joints in Machine Tools," J. of the KSPE, Vol. 9, No. 2, pp. 61-68, 1992.
9 Jeong, J. K., Kang, M. G., Shin, D. H., Lee, G. Y., Shin, S. H., Won, C. J., and Jeong, J. I., "Dynamic Stiffness of 5-axis Stage with Vaccum applied LM Guide Equivalence Stiffness Model," Proc. of KSPE Autumn Conference, pp. 481-482, 2011.
10 Jeong, J. I. and Noh, K. H., "Simplified modeling of Roller LM guide bearing," Proc. of KSMTE Spring Conference, pp. 116-117, 2011.
11 Kim, G. and Park, C. H., "Stiffness Prediction and Experimental Characteristics of Liner Motion Bearings," Proc. of KSPE Autumn Conference, pp. 327-328, 2010.