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Influence of rotation speed on motion accuracy of hydrostatic journal bearing

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Abstract

In order to study the influence of the rotation speed on the motion accuracy of the hydrostatic journal bearing, a new dynamic accuracy model is built to predict the error motion by solving the motion equation. In the calculation, the nonlinear film force is simplified by the differential equation and calculated by the Reynolds equation. Then, the averaging coefficient is calculated in the rotation speed range 0.6–3000 rpm when the bearing has the ideal, elliptical and trilobal bushes with the recess numbers 3, 4, 5, 6. The study shows that the motion accuracy mainly decreases as the rotation speed increases. The rotation speed has effect on the error motion amplitude but has no effect on the selective action of the shaft wave number affecting the error motion. The accuracy theory can be used to predict the error motion and choose the optimized recess number.

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References

  1. Zhang, S., To, S., Wang, H.: A theoretical and experimental investigation into five-DOF dynamic characteristics of an aerostatic bearing spindle in ultra-precision diamond turning. Int. J. Mach. Tools Manuf. 71, 1–10 (2013)

    Article  Google Scholar 

  2. Wasson, K.L., Elmira, N.: A comparison of rolling element and hydrostatic bearing spindles for precision machine tool applications. In: ASPE Summer Topical Meeting on Precision Bearings and Spindles, ASPE 2007 2007, pp. 20–23

  3. Donaldson, R., Patterson, S.: Design and construction of a large, vertical axis diamond turning machine. In: Contemporary Methods of Optical Manufacturing and Testing 1983, pp. 62–67. International Society for Optics and Photonics

  4. Hale, L., Donaldson, R., Edson, S., Thigpen, R.: Hydrostatic bearings designed for pogal (Precision optical grinder and lathe). In: ASPE Summer Topical Meeting on Precision Bearings and Spindles, ASPE 2007 2007, pp. 11–12

  5. Shamoto, E., Park, C.-H., Moriwaki, T.: Analysis and improvement of motion accuracy of hydrostatic feed table. CIRP Ann. 50(1), 285–290 (2001)

    Article  Google Scholar 

  6. Kane, N.R., Sihler, J., Roblee, J.W., Walter, M.M., Blair, B., Koning, R.J., Slocum, A.H.: Precision Product Design—From University Labs to Company Catalog (2004)

  7. Kane, N., Sihler, J., Slocum, A.: A hydrostatic rotary bearing with angled surface self-compensation. Precis. Eng. 27(2), 125–139 (2003)

    Article  Google Scholar 

  8. Kashchenevsky, L., Johnson, D.: Theoretical analysis of rotational accuracy for thrust hydrostatic bearings. In: ASPE Summer Topical Meeting on Precision Bearings and Spindles, ASPE 2007, June 11, 2007–June 12, 2007, State College, PA, United states 2007. Proceedings—ASPE Summer Topical Meeting on Precision Bearings and Spindles, ASPE 2007, pp. 7–9. American Society for Precision Engineering, ASPE

  9. Cheng, Q., Liu, Z.-F., Chen, D.-J., Gu, P.-H.: Load-induced error identification of hydrostatic turntable and its influence on machining accuracy. J. Cent. South Univ. 23(10), 2558–2569 (2016)

    Article  Google Scholar 

  10. Wang, Z., Zhao, W., Chen, Y., Lu, B.: Prediction of the effect of speed on motion errors in hydrostatic guideways. Int. J. Mach. Tools Manuf. 64, 78–84 (2013)

    Article  Google Scholar 

  11. Lee, J., Gao, W., Shimizu, Y., Hwang, J., Oh, J.S., Park, C.H.: Spindle error motion measurement of a large precision roll lathe. Int. J. Precis. Eng. Manuf. 13(6), 861–867 (2012)

    Article  Google Scholar 

  12. Shariati, A., Kamgar, R., Rahgozar, R.: Optimum layout of nonlinear fluid viscous damper for improvement the responses of tall buildings. Int. J. Optim. Civil Eng. 10(3), 411–431 (2020)

    Google Scholar 

  13. Kamgar, R., Rahgozar, R.: Determination of critical excitation in seismic analysis of structures. Earthq. Struct. 9(4), 875–891 (2015)

    Article  Google Scholar 

  14. Dadkhah, M., Kamgar, R., Heidarzadeh, H., Jakubczyk-Gałczyńska, A., Jankowski, R.: Improvement of performance level of steel moment-resisting frames using tuned mass damper system. Appl. Sci. 10(10), 3403 (2020)

    Article  Google Scholar 

  15. Rostami, S., Kamgar, R.: Insight to the newmark implicit time integration method for solving the wave propagation problems. Iran. J. Sci. Technol. Trans. Civil Eng. 1–19 (2021)

  16. Kamgar, R., Rahgozar, R.: A simple method for determining the response of linear dynamic systems (2016)

  17. Zhang, P., Chen, Y., Liu, X.: Relationship between roundness errors of shaft and radial error motions of hydrostatic journal bearings under quasi-static condition. Precis. Eng. 51, 564–576 (2018)

    Article  Google Scholar 

Download references

Acknowledgements

This work was financially supported by National Natural Science Foundation of China (Grant No. 51905056) and the Fundamental Research Funds for the Central Universities (Grant No. 2018CDXYJX0019).

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Authors and Affiliations

  1. College of Mechanical Engineering, Chongqing University, No. 174, Shazheng Street, Shapingba District, Chongqing, 400044, People’s Republic of China

    Penghai Zhang & Yizhen Peng

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  1. Penghai Zhang
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  2. Yizhen Peng
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Correspondence to Penghai Zhang.

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Zhang, P., Peng, Y. Influence of rotation speed on motion accuracy of hydrostatic journal bearing. Nonlinear Dyn 105, 2959–2980 (2021). https://doi.org/10.1007/s11071-021-06781-w

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  • DOI: https://doi.org/10.1007/s11071-021-06781-w

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