Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Characterization of the dynamic behavior of a linear guideway mechanism

  • Chang, Jyh-Cheng (Institute of Mechanical Engineering, National Chung-Hsin University) ;
  • Wu, Shih-Shyn James (Institute of Mechanical Engineering, National Chung-Hsin University) ;
  • Hung, Jui-Pin (Institute of Precision Machinery and Manufacturing Technology, National Chin-Yi Institute of Technology)
  • Received : 2005.07.21
  • Accepted : 2006.08.01
  • Published : 2007.01.10
⟨ Previous Next ⟩

Abstract

Dynamic behaviors of the contact surface between ball and raceway in a guideway mechanism vary with the applied loads and hence affect the mechanical responses of machine tools. The study aims to investigate the nonlinear characteristics of dynamic behaviors at the rolling contact interface in linear guideway mechanisms. Firstly, analytical method was introduced to understand the contact behaviors based on Hertz contact theory in a point-to-point way. Then, the finite element approach with a three-dimensional surface-to-surface contact model and appropriate contact stiffness was developed to study the dynamic characteristics of such linear guideways. Finally, experiments with modal test were conducted to verify the significance of both the analytical and the numerical results. Results told that the finite element approach may provide significant predictions. The study results also concluded that the current nonlinear models based on Hertz's contact theory may accurately describe the contact characteristic of a linear guideway mechanism. In the modal analysis, it was told that the natural frequencies vary a little with different loading conditions; however, the mode shapes are changed obviously with the magnitude of applied loads. Therefore, the stiffness of contact interface needs to be properly adjusted during simulation which may affect the dynamic characteristics of the machine tools.

Keywords

References

  1. Egert, J. (2000), 'Comparison of some contact elements and iterative algorithms for the solution of frictionless contact problems', J. Comput. Appl. Mech., 1(1), 23-36
  2. Goldsmith, W. (1960), Impact-the Theory and Physical Behavior of Colliding Solids, Edward Arnold Ltd
  3. Hernot, X., Sartor, M. and Guillot, J. (2000), 'Calculation of the stiffuess matrix of angular contact ball bearings by using the analytical approach', J. Mech. Design, 122(March), 83-90 https://doi.org/10.1115/1.533548
  4. Hwang, D.H. and Gahr, K.H. (2003), 'Transition from static to kinetic friction of unlubricated or oil lubricated steel/steel, steel/ceramic and ceramic/ceramic pairs', Wear, 255, 365-375 https://doi.org/10.1016/S0043-1648(03)00063-2
  5. Johnson, K.J. (1985), Contact Mechanics, Cambridge University Press
  6. Lynagh, N., Rahnejat, H., Erahimi, M. and Aini, R. (2000), 'Bearing induced vibration in precision high speed routing spindle', Int. J. Machine Tools & Manufacture, 40, 561-577 https://doi.org/10.1016/S0890-6955(99)00076-0
  7. NSK Corporation Ltd., 'A-II technical description of NSK linear guides', Selection Guide to NSK Linear Guides
  8. Ohta, H. (1999), 'Sound of guideway type recirculating linear ball bearings', Transactions of the ASME Journal of Tribology, 121, 678-685 https://doi.org/10.1115/1.2834123
  9. Ohta, H. and Hayashi, E. (2000), 'Vibration of linear guideway type recirculating linear ball bearings', J. Sound Vib., 235(5), 847-861 https://doi.org/10.1006/jsvi.2000.2950
  10. Pimsam, M. and Kazerounian, K. (2002), 'Efficient evaluation of spur gear tooth mesh load using pseudointerference stiffuess estimation method', Mechanism and Machine Theory, 37, 769-786 https://doi.org/10.1016/S0094-114X(02)00022-8

Cited by

  1. Effect of preload of linear guides on dynamic characteristics of a vertical column–spindle system vol.50, pp.8, 2010, https://doi.org/10.1016/j.ijmachtools.2010.04.002
  2. Load effect on the vibration characteristics of a stage with rolling guides vol.23, pp.1, 2009, https://doi.org/10.1007/s12206-008-0925-4
  3. Analytical and Finite Element Modeling of the Dynamic Characteristics of a Linear Feeding Stage with Different Arrangements of Rolling Guides vol.2014, 2014, https://doi.org/10.1155/2014/454156
  4. A Computational Modeling Reflecting Static and Dynamic Characteristics of LM Bearings for Machine Tools vol.29, pp.10, 2012, https://doi.org/10.7736/KSPE.2012.29.10.1062
  5. Model for wear prediction of roller linear guides vol.305, pp.1-2, 2013, https://doi.org/10.1016/j.wear.2013.01.047
  6. A study of dynamic behaviors of contact pair in lubricated ball linear guide vol.70, pp.4, 2018, https://doi.org/10.1108/ILT-07-2017-0198
  7. Monitoring of Preload Variation of Linear Guide Positioning Stage Using Artificial Neural Network vol.11, pp.17, 2021, https://doi.org/10.3390/app11177902