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

공작기계 LM 베어링의 정동적 특성을 반영하는 전산 모델링

  • 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.)
  • 김혜연 (국민대학교 대학원 기계설계학과) ;
  • 정종규 (국민대학교 대학원 기계설계학과) ;
  • 원종진 (국민대학교 기계시스템공학부) ;
  • 정재일 (국민대학교 기계시스템공학부)
  • Received : 2012.07.24
  • Accepted : 2012.08.21
  • Published : 2012.10.01

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

References

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Cited by

  1. Equivalent stiffness modeling of linear motion guideways for stage systems vol.15, pp.9, 2014, https://doi.org/10.1007/s12541-014-0555-y
  2. Modeling of Displacement of Linear Roller Bearing Subjected to External Forces Considering LM Block Deformation vol.40, pp.12, 2016, https://doi.org/10.3795/KSME-A.2016.40.12.1077