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Dynamic modeling of hydrostatic guideway considering compressibility and inertia effect

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Abstract

Hydrostatic guideways are used as an alternative to contact bearings due to high stiffness and high damping in heavy machine tools. To improve the dynamic characteristic of bearing structure, the dynamic modeling of the hydrostatic guidway should be accurately known. This paper presents a “mass-spring-Maxwell” model considering the effects of inertia, squeeze, compressibility and static bearing. To determine the dynamic model coefficients, numerical simulation of different cases between displacement and dynamic force of oil film are performed with fluent code. Simulation results show that hydrostatic guidway can be taken as a linear system when it is subjected to a small oscillation amplitude. Based on a dynamic model and numerical simulation, every dynamic model’s parameters are calculated by the Levenberg-Marquardt algorithm. Identification results show that “mass-spring-damper” model is the most appropriate dynamic model of the hydrostatic guidway. This paper provides a reference and preparation for the analysis of the dynamic model of the similar hydrostatic bearings.

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References

  1. Brown G. The dynamic characteristics of a hydrostatic thrust bearing. International Journal of Machine Tool Design and Research, 1961, 1(1–2): 157–171

    Article  Google Scholar 

  2. Dimond T W, Sheth P N, Allaire P E, et al. Identification methods and test results for tilting pad and fixed geometry journal bearing dynamic coefficients—A review. Shock and Vibration, 2009, 16(1): 13–43

    Article  Google Scholar 

  3. Bouzidane A, Thomas M. Equivalent stiffness and damping investigation of a hydrostatic journal bearing. Tribology Transactions, 2007, 50(2): 257–267

    Article  Google Scholar 

  4. Jolly P, Hassini M A, Arghir M, et al. Identification of stiffness and damping coefficients of hydrostatic bearing with angled injection. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2013, 227(8): 905–911

    Article  Google Scholar 

  5. Jeon S Y, Kim K H. A fluid film model for finite element analysis of structures with linear hydrostatic bearings. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2004, 218(3): 309–316

    Google Scholar 

  6. Wang Z, Zhao W, Lu B. Influencing factors on dynamic response of hydrostatic guideways. Advanced Materials Research, 2011, 418–420: 2095–2101

    Article  Google Scholar 

  7. Gao D, Zheng D, Zhang Z. Theoretical analysis and numerical simulation of the static and dynamic characteristics of hydrostatic guides based on progressive mengen flow controller. Chinese Journal of Mechanical Engineering, 2010, 23(06): 709–716

    Article  Google Scholar 

  8. Zhao J, Gao D. Dynamic characteristic comparison of open-type hydrostatic worktable both before and after linearization. Journal of Mechanical Engineering, 2012, 48(24): 158 (in Chinese)

    Article  Google Scholar 

  9. Lee W J, Kim S I. Joint stiffness identification of an ultra-precision machine for machining large-surface micro-features. International Journal of Precision Engineering and Manufacturing, 2009, 10(5): 115–121

    Article  Google Scholar 

  10. Huang S, Borca-Tasciuc D A, Tichy J A. A simple expression for fluid inertia force acting on micro-plates undergoing squeeze film damping. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 2010, 467(2126): 522–536

    Article  Google Scholar 

  11. Brecher C, Baum C, Winterschladen M, et al. Simulation of dynamic effects on hydrostatic bearings and membrane restrictors. Production Engineering, 2007, 1(4): 415–420

    Article  Google Scholar 

  12. Hashemi S, Roylance B. Analysis of an oscillatory oil squeeze film including effects of fluid inertia. Tribology Transactions, 1989, 32(4): 461–468

    Article  Google Scholar 

  13. Hashemi S, Roylance B. Steady-state behavior of squeeze film bearings subjected to harmonic excitation—Including fluid inertia and system effects. Tribology Transactions, 1989, 32(4): 431–438

    Article  Google Scholar 

  14. Tichy J A. Measurements of squeeze-film bearing forces and pressures, including the effect of fluid inertia. ASLE Transactions, 1985, 28(4): 520–526

    Article  MathSciNet  Google Scholar 

  15. Andres S L. Transient response of externally pressurized fluid film bearings©. Tribology Transactions, 1997, 40(1): 147–155

    Article  Google Scholar 

  16. ANSYS-FLUENT. Documentations Solver Theory/Fluent [M/OL], 2013

    Google Scholar 

  17. Bevington P R, Robinson D K. Data Reduction and Error Analysis for the Physical Sciences. New York: McGraw-Hill, 1991, 151–153

    Google Scholar 

  18. Wang G, Luo C. Data Processing of Engineering. Changchun: Jilin University Press, 1990, 202–204

    Google Scholar 

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Authors and Affiliations

  1. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China

    Yikang Du, Kuanmin Mao, Yaming Zhu, Fengyun Wang, Xiaobo Mao & Bin Li

  2. State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, 430074, China

    Bin Li

Authors
  1. Yikang Du
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  2. Kuanmin Mao
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  3. Yaming Zhu
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  4. Fengyun Wang
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  5. Xiaobo Mao
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  6. Bin Li
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Correspondence to Kuanmin Mao.

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Du, Y., Mao, K., Zhu, Y. et al. Dynamic modeling of hydrostatic guideway considering compressibility and inertia effect. Front. Mech. Eng. 10, 78–88 (2015). https://doi.org/10.1007/s11465-015-0331-4

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  • DOI: https://doi.org/10.1007/s11465-015-0331-4

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