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Stability Analysis of an Asymmetric Shaft with Internal Damping

내부감쇠가 있는 축비대칭 구동축의 안정성 해석

  • 신응수 (충북대학교 기계공학부)
  • Received : 2012.10.23
  • Accepted : 2013.01.17
  • Published : 2013.02.15

Abstract

This paper intends to provide the whirling characteristics of an asymmetric rotor-shaft system with a non-ideal DC motor. The equations of motion have been derived in terms of system parameters such as the internal/external damping, the asymmetry and the motor voltage. By imposing the conditions that the motor input power should be balanced by the dissipated power, steadystate whirling characteristics are obtained such as the whirling amplitude, the whirling frequency and the stability diagrams. Results show that the whirling stability is affected by the internal/external damping and the asymmetry as well as the motor voltage. Also, the whirling amplitude at the steadystate is increased and the motor speed is lowered as the internal damping becomes higher or the external damping is reduced. In addition, the asymmetry causes the variation of the whirling orbit, which becomes splitted into two distinct trajectories. Finally, non-ideal characteristics of the DC motor is found to reduce the whirling motion in case of steadystate whirling with high asymmetry and high internal damping.

Keywords

References

  1. Cveticanin, L., 2010, "Dynamics of the Non-ideal Mechanical Systems: A review," J. of the Serbian Society for Computatational Mechanics, Vol. 4, No. 2, pp. 75-86.
  2. Pusenjak, R., Oblak, M., and Ticar, I., 2009, "Nonstationary Vibration and Transition Through Fundamental Resonance of Electromechanical Systems Forced by a Nonideal Energy Source," J. of Nonlinear Sciences & Numerical Simulation,, Vol. 10, No. 5, pp. 635-657.
  3. Samantaray, A., 2008, "A Note on Internal Damping Induced Self-excited Vibration in a Rotor by Considering Source Loading of a DC Motor Drive," Int. J. of Nonlinear Mechanics, Vol. 43, No. 5, pp. 1012-1017. https://doi.org/10.1016/j.ijnonlinmec.2008.06.011
  4. Dasgupta, S., Samantaray, A., and Bhattachayya, R., 2010, "Stability of an Internally Damped Non-ideal Flexible Spinning Shaft," Int. J. of Nonlinear Mechanics, Vol. 45, No. 3, pp. 286-293. https://doi.org/10.1016/j.ijnonlinmec.2009.12.002
  5. 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, No. 1, pp. 75-84. https://doi.org/10.1006/jsvi.1996.0404
  6. 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, No. 5, pp. 737-752.
  7. Shin, E., 2011, "Stability Analysis of High-speed Driveshafts under the Variation of the Support Conditions," J. of KSMTE, Vol. 20, No. 1, pp. 40-46.
  8. Mazzei, A., and Scott, R., 2003, "Effects of Internal Viscous Damping on the Stability of a Rotating Shaft Driven through a Universal Joint," J. of Sound and Vibration, Vol. 265, No. 4, pp. 863-885. https://doi.org/10.1016/S0022-460X(02)01256-7
  9. Genta, G., 2005, Dynamics of Rotating Rystems, Springer, New York, pp. 251.

Cited by

  1. Sommerfeld Phenomena of an Asymmetric Rotor vol.23, pp.1, 2014, https://doi.org/10.7735/ksmte.2014.23.1.056