초고속 구동축의 지지 조건에 따른 안정성 분석

Stability Analysis of High-speed Driveshafts under the Variation of the Support Conditions

  • 신응수 (충북대학교 공과대학 기계공학부)
  • 투고 : 2011.01.06
  • 심사 : 2011.01.22
  • 발행 : 2011.02.15

초록

This paper is to investigate the effects of the asymmetrical support stiffness on the stability of a supercritical driveshaft with asymmetrical shaft stiffness and anisotropic bearings. The equations of motion is derived for a system including a rigid disk, a massless flexible asymmetric shaft, anisotropic bearings and a support beam. The Floquet theory is applied to perform the stability analysis with the variation of the support stiffness, the shaft asymmetry, the shaft damping and the shaft speed. The results show that the asymmetric support stiffness is closely related to the stability caused by primary resonance as well as the supercritical operation. First, the stiffness variation can stabilize the system around primary resonance by weakening the parametric resonance from the shaft asymmetry. Second, it also improve the stability characteristics at a supercritical operation when the support stiffness is not so high relative to the shaft stiffness.

키워드

참고문헌

  1. Dimentberg, M., 2005, "Transverse Vibrations of Rotating Shafts: Probability Density and First-Passage Time of Whirl Radius," Int. J. of Nonlinear Mechanics, Vol. 40, pp. 1263-1267. https://doi.org/10.1016/j.ijnonlinmec.2005.05.009
  2. Brusa, E., and Zolfini, G., 2005, "Non-Synchronous Rotating Effects in Gyroscopic Rotating Systems," J. of Sound and Vibration, Vol. 281, pp. 815-834. https://doi.org/10.1016/j.jsv.2004.02.019
  3. Mazzei, A., and Scott, R., 2003, "Effects of Internal Damping on the Stability of a Rotating Shaft Driven Through a Universal Joint," J. of Sound and Vibration, Vol. 265, pp. 863-885. https://doi.org/10.1016/S0022-460X(02)01256-7
  4. Wettergren, H., and Olsson, K., 1996, "Dynamic Instability of a Rotating Asymmetric Shaft with Internal Viscous Damping Supported in Anisotropic Bearings," J. of sound and vibration, Vol. 195, pp. 75-84. https://doi.org/10.1006/jsvi.1996.0404
  5. Ganesan, R., 2003, "Effects of Bearing and Shaft Asymmetrices on the Stability of Rotors Operating at Near-Critical Speeds," Mechanism and Machine Theory, Vol. 35, pp. 737-752.
  6. El-Marhomy, J., 1999, "Parametric Stability Analysis of Rotor-Bearing Systems," Proc. of National Science Council, ROC(A), Vol. 23, No. 1, pp. 42-49.
  7. Na, S., Yoon, H., and Librescu, L., 2006, "Effects of Taper Ratio on Vibration and Stability of a Composite Thin-Walled Spinning Shaft," Thin-Walled Structures, Vol. 44, pp. 362-371. https://doi.org/10.1016/j.tws.2006.02.007
  8. Hong, E., and Shin, E., 2004, "Characterization of a Misaligned Supercritical Shaft of a Flexible Matrix Composite," Trans. of the Korean Society for Noise and Vibration, Vol. 14, No. 1, pp. 32-39. https://doi.org/10.5050/KSNVN.2004.14.1.032
  9. Nayfeh, A., 1996, Applied Nonlinear Dynamics, John Wiley & Sons, pp. 158-171.