Rolling contact whirling motion of a rotating shaft supported by a repulsive magnetic bearing and a rotatable backup bearing (Influences of friction coefficient and damping) (original) (raw)

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References (34)

  1. 構築した理論モデルを用いたシミュレーションにより，従来の補助軸受内輪の回転自由度を考慮していない モデルでは観察されなかった転がりモードの前向き振れまわりや転がりモードの後向き振れまわりを観察し た．このシミュレーション結果は実験結果と定性的に一致し，構築した理論モデルの妥当性を確認した．
  2. ロータと補助軸受内輪との摩擦係数が小さい場合，滑りモードの前向き振れまわり接触振動が発生しやすい． この場合増速すると位相遅れが増加し，接触から自然に離脱する．
  3. 摩擦係数が大きく補助軸受内輪の回転の減衰が小さい場合，補助軸受内輪とロータが一体となって回転し，転 がりモードの前向き振れまわりが発生しやすい．この場合は増速しても接触から離脱しにくいが，減速する と接触開始時と近い回転速度で離脱する．
  4. Baruh，Analytical dynamics (1998)，McGraw-Hill Pubishing Co.
  5. Baumgarte,J., Stabilization of constraints and integrals of motion in dynamical systems, Computer Methods in Applied Mechanics and Engineering (1972), Vol.1, pp.1-16.
  6. Black, H.F., Interaction of a whirling rotor with a vibrating stator across a clearance annulus, Journal of Mechanical Engineering Science, 10-1(1968), pp.1-12.
  7. Ehehalt,U., Hahn,E. and Markert,R., Motion patterns at rotor stator contact, Proceedings of IDETC/CIE 2005, ASME 2005 International Design Engineering Technical Conference and Computers and Information in Engineering Conference, September 24-28, (2005), Paper No. DETC2005-84440.
  8. Goldman,P. and Muszynska,A., Chaotic behavior of rotor/stator systems with rubs, Transactions of the ASME, Journal of Engineering for Gas Turbines and Power, Vol.116(1994), pp.692-701.
  9. 井上剛志，水貝智洋，石田幸男, 反発型磁気軸受の軸方向制御による回転軸系の制振, 日本機械学会論文集 C 編, Vol.75, No.754 (2009), pp.1592-1601.
  10. Jacson JD., Classical electrodynamics (1975), New York: John Wiley.
  11. Li,G.X. and Païdoussis,M.P, Impact phenomena of rotor-casing dynamical systems, Nonlinear Dynamics, Vol.5(1994), pp.57-70.
  12. Paden,B.,Groom,N. and Antaki,J.F., Desing formulas for permanent-magnet bearings, Transaction of the ASME, Journal of Mechanical Design, 125 (2003), pp.734-738.
  13. 清水信行，今西悦二郎， マルチボディダイナミクス (1) (2006)， コロナ社. 水貝智洋，井上剛志，石田幸男, 反発型磁気軸受で支持された回転軸系の非線形復元力特性と振動 (軸方向変位と 磁石長さ比の影響), 日本機械学会論文集 C 編, Vol.77, No.778 (2011), pp.2169-2180.
  14. Sugai,T., Inoue,T. and Ishida,Y., Nonlinear theoretical analysis of contacting forward whirling vibration of a rotating shaft supported by a repulsive magnetic bearing, Journal of Sound and Vibration, 332 (2013), pp.2735-2749.
  15. Wangsnees RK., Electromagnetic fields (1979), New York: John Wiley.
  16. 渡邊裕輔，白木万博，阿波啓造，静止部との接触を伴う回転軸系の挙動解析, 日本機械学会論文集 C 編, Vol.67, No.655 (2001), pp.591-596.
  17. 山本敏男，石田幸男，回転機械の力学 (2001)，コロナ社．
  18. Yonnet,J.P., Lemarquand,G., Hemmerlin,S., and Rulliere, E.O., Stacked structures of passive magnetic bearing, Journal of Applied Physics, 70-10 (1991), pp.6633-6635.
  19. References Baruh，Analytical dynamics (1998)，McGraw-Hill Pubishing Co.
  20. Baumgarte,J., Stabilization of constraints and integrals of motion in dynamical systems, Computer Methods in Applied Mechanics and Engineering (1972), Vol.1, pp.1-16.
  21. Black, H.F., Interaction of a whirling rotor with a vibrating stator across a clearance annulus, Journal of Mechanical Engineering Science, 10-1(1968), pp.1-12.
  22. Ehehalt,U., Hahn,E. and Markert,R., Motion patterns at rotor stator contact, Proceedings of IDETC/CIE 2005, ASME 2005 International Design Engineering Technical Conference and Computers and Information in Engineering Conference, September 24-28, (2005), Paper No. DETC2005-84440.
  23. Goldman,P. and Muszynska,A., Chaotic behavior of rotor/stator systems with rubs, Transactions of the ASME, Journal of Engineering for Gas Turbines and Power, Vol.116(1994), pp.692-701.
  24. Inoue,T., Sugai,T. and Ishida,Y., Vibration suppression of the rotating shaft using the axial control of the repulsive magnetic bearing, Transactions of the JSME, Ser.C, 75-754 (2009), pp.1592-1601 (in Japanese).
  25. Jacson JD., Classical electrodynamics (1975), New York: John Wiley.
  26. Li,G.X. and Païdoussis,M.P, Impact phenomena of rotor-casing dynamical systems, Nonlinear Dynamics, Vol.5(1994), pp.57-70.
  27. Paden,B.,Groom,N. and Antaki,J.F., Desing formulas for permanent-magnet bearings, Transaction of the ASME, Journal of Mechanical Design, 125 (2003), pp.734-738.
  28. Shimizu,N. and Imanishi,E., Multibody dynamics(1) (2006), Corona Publisihing Co.,Ltd (in Japanese).
  29. Sugai,T., Inoue,T. and Ishida,Y., Nonlinear restoring force characteristic and vibration of a rotating shaft supported by a repulsive magnetic bearing (Influences of both the axial displacement and the magnetic length ratio), Transactions of the JSME, Ser.C, Vol.77, No.778 (2011), pp.2169-2180 (in Japanese).
  30. Sugai,T., Inoue,T. and Ishida,Y., Nonlinear theoretical analysis of contacting forward whirling vibration of a rotating shaft supported by a repulsive magnetic bearing, Journal of Sound and Vibration, 332 (2013), pp.2735-2749.
  31. Wangsnees RK., Electromagnetic fields (1979), New York: John Wiley.
  32. Watanabe,Y., Shiraki,K. and Awa,K., Vibration behavior of rotating shaft due to contact with casing, Transactions of the JSME, Ser C, 67-655(2001), pp.591-596 (in Japanese).
  33. Yamamoto,T. and Ishida,Y., Linear and nonlinear rotordynamics (2001)，Corona Publisihing Co.,Ltd (in Japanese).
  34. Yonnet,J.P., Lemarquand,G., Hemmerlin,S., and Rulliere, E.O., Stacked structures of passive magnetic bearing, Journal of Applied Physics, 70-10 (1991), pp.6633-6635.