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닫힌 그루브를 갖는 외부가압 공기 패드 베어링의 동특성 해석

Dynamic Characteristics of Externally Pressurized Air Pad Bearings with Closed Loop Grooves

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주제분류기계공학

초록

This paper presents a theoretical investigation of the dynamic characteristics of externally pressurized air pad bearings with closed loop grooves. These grooves are made on the surface of bearings to reduce the number of supply holes so that manufacturing costs can be reduced. The semi-implicit method is applied to calculate the time varying pressure profile on the air bearing surface owing to the advantages of numerical stability and fast time tracing characteristics. The static pressure of the groove bearings is much higher than that without grooves, so the groove bearings can provide high load carrying capacity. The equation of motion considering vertical motion and tilting motion are also solved using the Runge–Kutta 4th order method. By combining the semiimplicit method and the Runge–Kutta method, fast calculations of the dynamic behavior of the air bearing can be achieved. The variations of bearing reaction force, air film reaction moment, height, and tilting angle are investigated for the step force input, which is 20% higher than the bearing reaction, when the nominal clearance is 6 mm. The effect of the groove width and the groove depth are investigated by calculating the dynamic behavior. The possibility of the air hammering with the depth of the groove is found and discussed.

Abstract

This paper presents a theoretical investigation of the dynamic characteristics of externally pressurized air pad bearings with closed loop grooves. These grooves are made on the surface of bearings to reduce the number of supply holes so that manufacturing costs can be reduced. The semi-implicit method is applied to calculate the time varying pressure profile on the air bearing surface owing to the advantages of numerical stability and fast time tracing characteristics. The static pressure of the groove bearings is much higher than that without grooves, so the groove bearings can provide high load carrying capacity. The equation of motion considering vertical motion and tilting motion are also solved using the Runge–Kutta 4th order method. By combining the semiimplicit method and the Runge–Kutta method, fast calculations of the dynamic behavior of the air bearing can be achieved. The variations of bearing reaction force, air film reaction moment, height, and tilting angle are investigated for the step force input, which is 20% higher than the bearing reaction, when the nominal clearance is 6 mm. The effect of the groove width and the groove depth are investigated by calculating the dynamic behavior. The possibility of the air hammering with the depth of the groove is found and discussed.

참고문헌 (12)

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  2. Park, S. S., "A study on the characteristics of an externally pressurized conical gas bearing", J. Korean Soc. Tribol. Lubr. Eng., 7(1), pp.35~39 (1991)
  3. Park, S.-S., "Analysis of the air journal bearings with two circumferential grooves", J. Korean Soc. Tribol. Lubr. Eng., 13(4), pp.40~46 (1997)
  4. 손상익, "급유홈의 크기와 위치가 원통형 저널 베어링의 정적성능에 미치는 영향", 한국윤활학회지, 26(4), pp.209~218 (2010), 한국윤활학회
  5. Wang, Nenzi, "Optimum design of externally pressurized air bearing using Cluster OpenMP", Tribology International, 42(8), pp.1180~1186 (2009)
  6. Khim, G. H., "A rotary stage in a vacuum using an air bearing", Vacuum, 105, pp.39~45 (2014)
  7. "OAV®Air Bearings"[URL]
  8. Kogure, K., "A study on characteristics of surface-restriction compensated gas bearings with T-shaped grooves", Bull. Jpn. Soc. Mech. Eng, 25(210), pp.2039~2045 (1982)
  9. Du, J. J., "Improvement on load performance of externally pressurized gas journal bearings by opening pressure-equalizing grooves", Tribology International, 73, pp.156~166 (2014)
  10. Song, M. S., "Effect of shape errors on the stability of externally pressurized air journal bearings using semi-implicit scheme", Tribology International, 115, pp.580~590 (2017)
  11. Fourka, M., "Comparison between externally pressurized gas thrust bearings, With different orifice and porous feeding systems", Wear, 210, pp.311~317 (1997)
  12. Belforte, G., "Discharge coefficients of orifice-type restrictor for aerostatic bearings", Tribol Int., 40, pp.512~521 (2001)

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