International Journal of Mechanical Engineering and Applications

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Design of Self-restriction Hydrostatic Thrust Spherical Bearing (Fitted Type)

Received: 14 August 2019    Accepted: 04 September 2019    Published: 20 September 2019
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Abstract

This is the last part of the series studying the fitted hydrostatic thrust spherical bearing. It handles an unconventional design of this type of bearings. The conception of this design is to break the rules controlling the bearing restrictions, where it is believed that without restrictors no hydrostatic bearing could be got (axiom). The paper focused the effort to derive a general characteristic equation that can control the design in turn the bearing performance and behavior. This general characteristic equation, through its simple form, gives the designer the ability to get a comprehensive conception about his problem and widely opens the door in front of him to design a conventional or unconventional bearing whatever the bearing purpose. The effective parameters; needed to be known for designing the bearing; were concentrated into three items; the rotor speed, the seat dimensions and the lubricant properties. The characteristic equation shows that the seat radius and the inlet angle play the major role in determining the supply pressure, in turn the load carrying capacity. The inertia, the recess angle and the lubricant viscosity have the major effect on determining the bearing stiffness in case of the partial hemispherical seats while in case of the hemispherical seats the stiffness has slightly been affected. The design shows that the bearings with hemispherical seats have extremely low stiffness, practically zero stiffness and very high temperature rise, which make this bearing configuration invalid to be self restriction bearing; while the bearings with partial hemispherical seats have a very wide stiffness range allowing the designer to control and design the bearing with the stiffness needed for any purpose (from zero stiffness to extremely high stiffness). The lubricant temperature rises about three degrees centigrade which practically means that the bearing operates at constant temperature.

DOI 10.11648/j.ijmea.20190704.14
Published in International Journal of Mechanical Engineering and Applications (Volume 7, Issue 4, August 2019)
Page(s) 111-122
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Hydrostatic Bearings, Spherical Bearings Design, Surface Roughness, Inertia, Viscosity Effects, Self Compensation

References
[1] Ahmad W. Yacout, Ashraf S. Ismaeel, Sadek Z. assab, "The combined effects of the centripetal inertia and the surface roughness on the hydrostatic thrust spherical bearing performance", Tribolgy International Journal 2007, Vol. 40, No. 3, 522-532.
[2] Ahmad W. Y. Elescandarany, “The Effect of the fluid film variable viscosity on the hydrostatic thrust spherical bearing performance in the presence of centripetal inertia and surface roughness (Part 1 Un-recessed fitted bearing)”, The International Journal of Mechanical Engineering and Applications 2018, Vol. 6, No. 1, pp. 1-12.
[3] Ahmad W. Y. Elescandarany, “The Effect of the fluid film variable viscosity on the hydrostatic thrust spherical bearing performance in the presence of centripetal inertia and surface roughness (Part2 Recessed fitted bearing)”, The International Journal of Mechanical Engineering and Applications 2018, Vol. 6, No. 3, pp. 73-90.
[4] Ahmad Waguih Yacout Elescandarany, “Design of the Hydrostatic Thrust Spherical Bearing with Restrictors (Fitted Type)“, The International Journal of Mechanical Engineering and Applications 2019 Vol. 7, No. 2, pp. 34-45.
[5] Kane N. R., Sihler J. and Slocum A. H. "A hydrostatic rotary bearing with angled surface self-compensation", Precision Engineering 2003, 5321, pp: 1–15.
[6] Xiaobo Z., Shengyi L., Ziqiang Y. and Jianmin W. "Design and Parameter Study of a Self-Compensating Hydrostatic Rotary Bearing" International Journal of Rotating Machinery, Volume 2013, Article ID 638193, pp: 1-10.
[7] Yuan K., De-Xing P., Yu-Hong H. and Sheng-Yan H." Design for static stiffness of hydrostatic bearings: double-action variable compensation of membrane-type restrictors and self-compensation". Industrial Lubrication and Tribology 2014, Vol. 66, · No. 2, pp: 322–3343.
[8] Xu C. and Jiang S., "Analysis of the static characteristics of a self-compensation hydrostatic spherical hinge". J. Tribolohy T. ASME 2015; Vol. 137, No. 4: 044503-044503-5.
[9] Khaksea P. G., Phalleb V. M. and Manthac S. S. "Comparative Performance of a Non-recessed Holeentry Hybrid/Hydrostatic Conical Journal Bearing Compensated with Capillary and Orifice Restrictors", Journal of Tribology in Industry 2016, Vol. 38, No. 2, pp: 133-148.
[10] Zhifeng Li., Yumo W., Ligang C., Yongsheng Z., Qiang C. and Xiangmin D., "A review of hydrostatic bearing system: Researches and Applications", Advances in Mechanical Engineering 2017, Vol. 9, No. 10, pp: 1–28.
[11] Alexander Slocum, "Externally Pressurized Fluid Film Bearings", Precision Machine Design, ME EN 7960 – Non-Contact Bearings – Topic 11, pp: 1-47.
[12] Alexander Slocum, Paul Scagnetti, Nathan Kane and Christoph Brunner," Design of self-compensated, water-hydrostatic bearings" Journal of Precision Engineering 1995, Vol. 17, No. 3, pp: 173-185.
[13] Zhao Yang Dong, Sheng-Yen Hu, Chao-Ping Huang and Yuan Kang" Static Characteristic of Self-compensated Hydrostatic Bearing" Proceedings of the International Conference on Environmental Science and Sustainable Energy, 2017.
[14] Mohit Agarwal, "Non-Dimensional Parameters of a Membrane-Type Restrictor in an Opposed Pad Hydrostatic Bearing for High Static Stiffness", International Journal of Science and Research 2018, Vol. 7 No. 7, pp: 1306-1313.
[15] Antony Raymond Wong," Design of low cost hydrostatic bearing", Master thesis, Massachusetts Institute of Technology, 2019.
Author Information
  • Mechanical Department, Faculty of Engineering, Alexandria University, Alexandria, Egypt

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  • APA Style

    Ahmad Waguih Yacout Elescandarany. (2019). Design of Self-restriction Hydrostatic Thrust Spherical Bearing (Fitted Type). International Journal of Mechanical Engineering and Applications, 7(4), 111-122. https://doi.org/10.11648/j.ijmea.20190704.14

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    ACS Style

    Ahmad Waguih Yacout Elescandarany. Design of Self-restriction Hydrostatic Thrust Spherical Bearing (Fitted Type). Int. J. Mech. Eng. Appl. 2019, 7(4), 111-122. doi: 10.11648/j.ijmea.20190704.14

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    AMA Style

    Ahmad Waguih Yacout Elescandarany. Design of Self-restriction Hydrostatic Thrust Spherical Bearing (Fitted Type). Int J Mech Eng Appl. 2019;7(4):111-122. doi: 10.11648/j.ijmea.20190704.14

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  • @article{10.11648/j.ijmea.20190704.14,
      author = {Ahmad Waguih Yacout Elescandarany},
      title = {Design of Self-restriction Hydrostatic Thrust Spherical Bearing (Fitted Type)},
      journal = {International Journal of Mechanical Engineering and Applications},
      volume = {7},
      number = {4},
      pages = {111-122},
      doi = {10.11648/j.ijmea.20190704.14},
      url = {https://doi.org/10.11648/j.ijmea.20190704.14},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijmea.20190704.14},
      abstract = {This is the last part of the series studying the fitted hydrostatic thrust spherical bearing. It handles an unconventional design of this type of bearings. The conception of this design is to break the rules controlling the bearing restrictions, where it is believed that without restrictors no hydrostatic bearing could be got (axiom). The paper focused the effort to derive a general characteristic equation that can control the design in turn the bearing performance and behavior. This general characteristic equation, through its simple form, gives the designer the ability to get a comprehensive conception about his problem and widely opens the door in front of him to design a conventional or unconventional bearing whatever the bearing purpose. The effective parameters; needed to be known for designing the bearing; were concentrated into three items; the rotor speed, the seat dimensions and the lubricant properties. The characteristic equation shows that the seat radius and the inlet angle play the major role in determining the supply pressure, in turn the load carrying capacity. The inertia, the recess angle and the lubricant viscosity have the major effect on determining the bearing stiffness in case of the partial hemispherical seats while in case of the hemispherical seats the stiffness has slightly been affected. The design shows that the bearings with hemispherical seats have extremely low stiffness, practically zero stiffness and very high temperature rise, which make this bearing configuration invalid to be self restriction bearing; while the bearings with partial hemispherical seats have a very wide stiffness range allowing the designer to control and design the bearing with the stiffness needed for any purpose (from zero stiffness to extremely high stiffness). The lubricant temperature rises about three degrees centigrade which practically means that the bearing operates at constant temperature.},
     year = {2019}
    }
    

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  • TY  - JOUR
    T1  - Design of Self-restriction Hydrostatic Thrust Spherical Bearing (Fitted Type)
    AU  - Ahmad Waguih Yacout Elescandarany
    Y1  - 2019/09/20
    PY  - 2019
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    DO  - 10.11648/j.ijmea.20190704.14
    T2  - International Journal of Mechanical Engineering and Applications
    JF  - International Journal of Mechanical Engineering and Applications
    JO  - International Journal of Mechanical Engineering and Applications
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    EP  - 122
    PB  - Science Publishing Group
    SN  - 2330-0248
    UR  - https://doi.org/10.11648/j.ijmea.20190704.14
    AB  - This is the last part of the series studying the fitted hydrostatic thrust spherical bearing. It handles an unconventional design of this type of bearings. The conception of this design is to break the rules controlling the bearing restrictions, where it is believed that without restrictors no hydrostatic bearing could be got (axiom). The paper focused the effort to derive a general characteristic equation that can control the design in turn the bearing performance and behavior. This general characteristic equation, through its simple form, gives the designer the ability to get a comprehensive conception about his problem and widely opens the door in front of him to design a conventional or unconventional bearing whatever the bearing purpose. The effective parameters; needed to be known for designing the bearing; were concentrated into three items; the rotor speed, the seat dimensions and the lubricant properties. The characteristic equation shows that the seat radius and the inlet angle play the major role in determining the supply pressure, in turn the load carrying capacity. The inertia, the recess angle and the lubricant viscosity have the major effect on determining the bearing stiffness in case of the partial hemispherical seats while in case of the hemispherical seats the stiffness has slightly been affected. The design shows that the bearings with hemispherical seats have extremely low stiffness, practically zero stiffness and very high temperature rise, which make this bearing configuration invalid to be self restriction bearing; while the bearings with partial hemispherical seats have a very wide stiffness range allowing the designer to control and design the bearing with the stiffness needed for any purpose (from zero stiffness to extremely high stiffness). The lubricant temperature rises about three degrees centigrade which practically means that the bearing operates at constant temperature.
    VL  - 7
    IS  - 4
    ER  - 

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