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고속 공기 스핀들 설계를 위한 근사해석과 회전체동역학의 비교

Comparison of Approximation and Rotordynamics Solutions for Design of a High Speed Air Spindle

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초록

This paper presents two methods for designing a high-speed air spindle operated over the rotational speed of 50,000 rpm. The first method is an approximate method, which assumes a symmetric spindle shape even though it is not symmetric in reality. The second is an analysis of rotordynamics using beam and solid models. The approximate method can be used to calculate the bearing load capacities, stiffness and damping coefficients, stability of the shaft system, and response of the forced excitation from the unbalanced mass. Designers can use this method to determine the dimensions of the desired spindle at the first stage of the design. The more detailed behavior of the spindle can be calculated using the rotordynamics theory using beam and solid models based on the Finite Element Method. In this paper, a spindle, with two air bearings, one motor at the end, and two air thrust bearings, is newly developed. The solutions from the two rotordynamics theories are compared with the solution obtained using the approximate method. The three calculations are in agreement, and the procedure for the design of a spindle system, supported on the externally pressurized air bearings, ispresented and discussed.

Abstract

This paper presents two methods for designing a high-speed air spindle operated over the rotational speed of 50,000 rpm. The first method is an approximate method, which assumes a symmetric spindle shape even though it is not symmetric in reality. The second is an analysis of rotordynamics using beam and solid models. The approximate method can be used to calculate the bearing load capacities, stiffness and damping coefficients, stability of the shaft system, and response of the forced excitation from the unbalanced mass. Designers can use this method to determine the dimensions of the desired spindle at the first stage of the design. The more detailed behavior of the spindle can be calculated using the rotordynamics theory using beam and solid models based on the Finite Element Method. In this paper, a spindle, with two air bearings, one motor at the end, and two air thrust bearings, is newly developed. The solutions from the two rotordynamics theories are compared with the solution obtained using the approximate method. The three calculations are in agreement, and the procedure for the design of a spindle system, supported on the externally pressurized air bearings, ispresented and discussed.

참고문헌 (14)

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  3. Hongrui Cao, "Adaptive Separation of Unbalance Vibration in Air Bearing Spindles", Procedia CIRP, 62, pp.357~362 (2017), Elsevier BV[DOI]
  4. Guido Belforte, "An experimental study of high-speed rotor supported by air bearings: test RIG and first experimental results", Tribology International, 39(8), pp.839~845 (2006), Elsevier BV[DOI]
  5. Cheng-Chi Wang, "Bifurcation Analysis of High Speed Spindle Air Bearings", Journal of Vibration and Control, 17(1), pp.103~114 (2010), SAGE Publications[DOI]
  6. Minseok Song, "Effect of shape errors on the stability of externally pressurized air journal bearings using semi-implicit scheme", Tribology International, 115, pp.580~590 (2017), Elsevier BV[DOI]
  7. Abdurrahim Dal, "Effects of angular misalignment on the performance of rotor-bearing systems supported by externally pressurized air bearing", Tribology International, 111, pp.276~288 (2017), Elsevier BV[DOI]
  8. R. Dupont, "Robust rotor dynamics for high-speed air bearing spindles", Precision Engineering, 40, pp.7~13 (2015), Elsevier BV[DOI]
  9. M. Akhondzadeh, "Study of variable depth air pockets on air spindle vibrations in ultra-precision machine tools", The International Journal of Advanced Manufacturing Technology, 73(5-8), pp.681~686 (2014), Springer Science and Business Media LLC[DOI]
  10. Lee, J. B., "Effects of Synchronous Vibra-tion of Externally Pressurized Air Journal Bearing", J. Korean Soc. Tribol. Lubr. Eng, 13(1), pp.28~33 (1997)[DOI]
  11. Mohamed Fourka, "Comparison between externally pressurized gas thrust bearings with different orifice and porous feeding systems", Wear, 210(1-2), pp.311~317 (1997), Elsevier BV[DOI]
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  13. Lee, J.R., "An Experimental Study on the Dynamic Coefficient According to the Source Positions in Externally Pres-surized Air-lubricated Journal Bearing with Two Row Sources", J. Korean Soc. Tribol. Lubr. Eng., 17(6), pp.476~481 (2001)[DOI]
  14. 박광원, "닫힌 그루브를 갖는 외부가압 공기 패드 베어링의 동특성 해석", 한국트라이볼로지학회지, 33(6), pp.309~314 (2017), 한국트라이볼로지학회[DOI]

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