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Vibration characteristics and reliability analysis of roller linear guideway workbench

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Abstract

The non-uniform load distribution of crowned roller along the contact line has a significant impact on the dynamic characteristics and fatigue life of the roller linear guideway workbench (RLGW). Moreover, the randomness in the design parameters due to unavoidable manufacturing errors will induce the uncertainty in the vibration prediction of RLGW, which will affect the machining accuracy of machine tool. To this end, this paper first establishes a novel five-DOF dynamic model considering the non-uniform load distribution of crowned roller to investigate the vibration characteristics of RLGW. The coordinate transformation method is used to obtain the vibrations at the four raceways of carriage by applying the workbench vibrations. The Hertz contact theory and the slicing method are applied to calculate the contact force and moment of crowned roller including the influence of roller profile, and a time-varying five-DOF restoring force model dependent on the workbench vibrations is established. Then, to improve the computing efficiency, a vibration reliability evaluation method of RLGW based on the active learning Kriging model and Monte Carlo Simulation (ALK-MCS) method is proposed. The developed dynamics modeling method is verified by some experiments on a CNC milling machine workbench system. The changes in the vibration characteristics and stiffness of RLGW are studied by varying the preload degree and number of loaded rollers. Furthermore, the vibration reliability and reliability sensitivity of RLGW are studied to provide theoretical foundation for the parameter optimization.

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References

  1. Altintas, Y., Verl, A., Brecher, C., Uriarte, L., Pritschow, G.: Machine tool feed drives. CIRP Ann-Manuf. Technol. 60, 779–796 (2011)

    Article  Google Scholar 

  2. Xu, M., Zhang, H., Liu, Z., Li, C., Li, Z., Liu, H., Zhang, Y.: Nonlinear dynamic model for linear guideway with crowning subjected to external load in five directions. Mech. Syst. Signal Proc. 187, 109947 (2023)

    Article  Google Scholar 

  3. Lin, C.Y., Hung, J.P., Lo, T.L.: Effect of preload of linear guides on dynamic characteristics of a vertical column–spindle system. Int. J. Mach. Tools Manuf 50, 741–746 (2010)

    Article  Google Scholar 

  4. Hung, J.P., Lai, Y.L., Lin, C.Y., Lo, T.L.: Modeling the machining stability of a vertical milling machine under the influence of the preloaded linear guide. Int. J. Mach. Tools Manuf 51, 731–739 (2011)

    Article  Google Scholar 

  5. Harris, T.A.: Rolling Bearing Analysis, 4th edn. John Wiley & Sons, New York (2001)

    Google Scholar 

  6. Li, H., Deng, Z.M., Golilarz, N.A., Guedes Soares, C.: Reliability analysis of the main drive system of a CNC machine tool including early failures. Reliab. Eng. Syst. Saf. 215, 107846 (2021)

    Article  Google Scholar 

  7. Wang, W., Zhang, Y., Li, C.: Dynamic reliability analysis of linear guides in positioning precision. Mech. Mach. Theory 116, 451–464 (2017)

    Article  Google Scholar 

  8. Horng, T.L.: An analytical solution of the stiffness equation for linear guideway type recirculating rollers with arbitrarily crowned profiles. Proc. Inst. Mech. Eng. Part C-J. Eng. Mech. Eng. Sci. 305, 1351–1358 (2013)

    Google Scholar 

  9. Tao, W., Zhong, Y., Feng, H., Wang, Y.: Model for wear prediction of roller linear guides. Wear 305, 260–266 (2013)

    Article  Google Scholar 

  10. Jiang, S., Wang, Y., Wang, Y.: Modeling of static stiffness for linear motion roller guide. J. Tribol. Trans. ASME 141, 111102 (2020)

    Article  Google Scholar 

  11. Kwon, S.W., Tong, V.C., Hong, S.W.: Five-degrees-of-freedom model for static analysis of linear roller bearing subjected to external loading. Proc. Inst. Mech Eng. Part C-J. Eng. Mech. Eng. Sci. 233, 2920–2938 (2019)

    Article  Google Scholar 

  12. Cheng, D.J., Yang, W.S., Park, J.H., Park, T.J., Kim, S.J., Kim, G.H., Park, C.H.: Friction experiment of linear motion roller guide THK SRG25. Int. J. Precis. Eng. Manuf. 15, 545–551 (2014)

    Article  Google Scholar 

  13. Cheng, D.J., Park, T.J., Kim, S.J.: Improved friction model for the roller LM guide considering mechanics analysis. J. Mech. Sci. Technol. 32, 2723–2734 (2018)

    Article  Google Scholar 

  14. Cheng, D.-J., Park, J.-H., Suh, J.-S., Kim, S.-J., Park, C.-H.: Effect of frictional heat generation on the temperature distribution in roller linear motion rail surface. J. Mech. Sci. Technol. 31(3), 1477–1487 (2017)

    Article  Google Scholar 

  15. Cheng, D.J., Xu, F., Xu, S.H., Kim, S.J.: Investigation of the frictional behavior in a roller linear motion guide under mixed EHL. Tribol. Trans. 63, 528–542 (2020)

    Article  Google Scholar 

  16. Cheng, D.J., Xu, S.H., Kim, S.J., Zhang, S.W.: Analysis of non-uniform load distribution and stiffness for a preloaded roller linear motion guide. Mech. Mach. Theory 164, 104407 (2021)

    Article  Google Scholar 

  17. Xua, S.H., Cheng, D.J., Zhang, S.W.: Analysis of friction fluctuations mechanism of a preloaded roller linear motion guide based on a new 5-DOF dynamic stiffness model. Measurement 190, 110768 (2022)

    Article  Google Scholar 

  18. Xu, M., Cai, B., Li, C., Zhang, H., Liu, Z., He, D., Zhang, Y.: Dynamic characteristics and reliability analysis of ball screw feed system on a lathe. Mech. Mach. Theory 150, 103890 (2020)

    Article  Google Scholar 

  19. Jiang, Z., Huang, X., Liu, H., Zheng, Z., Li, S., Du, S.: Dynamic reliability analysis of main shaft bearings in wind turbines. Int. J. Mech. Sci. 235, 107721 (2022)

    Article  Google Scholar 

  20. Jiang, Z., Huang, X., Chang, M., Li, C., Ge, Y.: Thermal error prediction and reliability sensitivity analysis of motorized spindle based on Kriging model. Eng. Fail. Anal. 127, 105558 (2021)

    Article  Google Scholar 

  21. Yu, H., Ran, Y., Zhang, G., Ying, G.: A dynamic time-varying reliability model for linear guides considering wear degradation. Nonlinear Dyn. 103, 669–714 (2021)

    Article  Google Scholar 

  22. Wang, W., Shen, G., Zhang, Y., Zhu, Z., Li, C., Lu, H.: Dynamic reliability analysis of mechanical system with wear and vibration failure modes. Mech. Mach. Theory 163, 104385 (2021)

    Article  Google Scholar 

  23. Echard, B., Gayton, N., Lemaire, M.: AK-MCS: an active learning reliability method combining Kriging and Monte Carlo simulation. Struct. Saf. 33, 145–154 (2011)

    Article  Google Scholar 

  24. Xiao, S., Oladyshkin, S., Nowak, W.: Reliability analysis with stratified importance sampling based on adaptive Kriging. Reliab. Eng. Syst. Saf. 197, 106852 (2020)

    Article  Google Scholar 

  25. Miao, H., Wang, C., Li, C., Song, W., Zhang, X., Xu, M.: Nonlinear dynamic modeling and vibration analysis of whole machine tool. Int. J. Mech. Sci. 245, 108122 (2023)

    Article  Google Scholar 

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (52075087), and the Fundamental Research Funds for the Central Universities (N2003006 and N2203002).

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, China

    Huihui Miao, Chenyu Wang, Changyou Li, Xiulu Zhang & Mengtao Xu

  2. Ansteel Engineering Technology Corporation Limited, Anshan, 114021, China

    Wenjun Song

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  1. Huihui Miao
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  2. Chenyu Wang
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  3. Changyou Li
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  4. Wenjun Song
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  5. Xiulu Zhang
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Correspondence to Changyou Li.

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Miao, H., Wang, C., Li, C. et al. Vibration characteristics and reliability analysis of roller linear guideway workbench. Nonlinear Dyn 111, 21461–21485 (2023). https://doi.org/10.1007/s11071-023-08924-7

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  • DOI: https://doi.org/10.1007/s11071-023-08924-7

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