Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
권호 표지
DOI QR코드

DOI QR Code

Modeling and Uncertainty Analysis of Ballscrew Nut Stiffness

볼스크류 너트부의 강성 모델링과 불확도 해석

  • Min, Bog-Ki (Department of Mechanical Engineering, Hanyang University) ;
  • Cao, Lei (Department of Mechanical Engineering, Hanyang University) ;
  • Khim, Gyungho (Department of Ultra-precision Machines and Systems, Korea Institute of Machinery and Materials) ;
  • Park, Chun-Hong (Department of Ultra-precision Machines and Systems, Korea Institute of Machinery and Materials) ;
  • Chung, Sung-Chong (Department of Mechanical Engineering, Hanyang University)
  • 민복기 (한양대학교 기계공학과) ;
  • 조뢰 (한양대학교 기계공학과) ;
  • 김경호 (한국기계연구원 초정밀시스템연구실) ;
  • 박천홍 (한국기계연구원 초정밀시스템연구실) ;
  • 정성종 (한양대학교 기계공학과)
  • Received : 2015.04.15
  • Accepted : 2015.04.22
  • Published : 2015.05.01
Download PDF
⟨ Previous Next ⟩

Abstract

Ballscrews are important motion transfer and positioning units of industrial machinery and precision machines. Positioning accuracy of the feed drive system depends upon axial stiffness of ballscrew systems. As the nut stiffness depends upon preload and operating conditions, analytical modeling of the stiffness is performed through the contact and body deformation analysis. For accurate contact analysis, the contact angle variation between balls and grooves is incorporated in the developed model. To verify the developed mathematical stiffness model, experiments are conducted on the test-rig. Through the uncertainty analysis according to GUM (Guide to the expression of Uncertainty in Measurement), it is confirmed that the formulated stiffness model has over 85% estimation accuracy. After constructing the ballscrew DB, a quick turnaround system for the nut stiffness estimation has been developed in this research.

Keywords

References

  1. Kim, M.-S. and Chung, S.-C., "Friction Identification of Ball-Screw Driven Servomechanisms through the Limit Cycle Analysis," Mechatronics, Vol. 16, No. 2, pp. 131-140, 2006. https://doi.org/10.1016/j.mechatronics.2005.09.006
  2. Kim, K. H., Park, C. H., Song, C. K., Lee, H. S., and Kim, S. W., "The Accuracy Design of LM Guide System in Machine Tools," Proc. of KSPE Spring Conference, pp. 692-695, 2000.
  3. Kim, M.-S. and Chung, S.-C., "Integrated Design Methodology of Ball-Screw Driven Servomechanis- ms with Discrete Controllers. Part I: Modelling and Performance Analysis," Mechatronics, Vol. 16, No. 8, pp. 491-502, 2006. https://doi.org/10.1016/j.mechatronics.2006.01.008
  4. Shimoda, H., "Stiffness Analysis of Ball Screws," International Journal of the Japan Society for Precision Engineering, Vol. 33, No. 3, pp. 168-172, 1999.
  5. Chung, S. and Park, C., "Analysis of Ballscrew Stiffness owing to Contact Deformation in Leadscrew Systems," Proc. of the ASPE Annual Meeting, pp. 160-163, 2010.
  6. Harris, T. A. and Kotzalas, M. N., "Rolling Bearing Analysis," John Wiley, pp. 149-166, 2001.
  7. KIMM, "Development of Platform Technology for Machine Accuracy Simulation II," Research Report, No. UCN011-4644.M, 2014.
  8. International Organization of Standardization, "Guide to the Expression of Uncertainty in Measurement," 1995.
  9. Chung, S. C., Cao, L., KIM, K. H., and Park, C. H., "Precision Modeling and Measurement of Nut Stiffness in Ballscrews," Proc. of the ASPE Annual Meeting, pp. 295-298, 2013.

Cited by

  1. A Study on the Analysis for Development of a Deflector Type Miniature Ball Screw vol.33, pp.12, 2016, https://doi.org/10.7736/KSPE.2016.33.12.979