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Sommerfeld Phenomena of an Asymmetric Rotor

축비대칭 회전계에서 나타나는 Sommerfeld 현상

  • Shin, Eung-Soo (School of Mechanical Engineering, Chungbuk National University)
  • Received : 2014.01.03
  • Accepted : 2014.02.10
  • Published : 2014.02.15

Abstract

This paper provides a comprehensive study on the Sommerfeld phenomena in an asymmetric rotor with a nonideal power supply. An analytical approach is employed by deriving the equations of motion in a nondimensional form. The system parameters, including the asymmetry, external and internal damping, and motor power, are chosen to find their effects on the characteristics of the Sommerfeld phenomena and critical behavior around resonance. Results show that the rotor asymmetry suppresses the Sommerfeld phenomena and helps pass through resonance if the asymmetry is small. However, it is observed that the opposite effects exist in case of a large asymmetry. It is also found that the effects of external damping on the Sommerfeld phenomena are similar to those of the asymmetry, whereas internal damping has less effects than external damping and the asymmetry. By performing numerical simulations, four types of critical behavior are identified from the viewpoints of the stability and the passage through resonance.

Keywords

References

  1. Cveticanin, L, 2010, Dynamics of the non-ideal mechanical systems: A review, J. of the Serbian Society for Computatational Mechanics 4:2 75-86.
  2. Samantaray, A. K., Dasgupta S. S., Bhattachayya, R., 2010, Sommerfeld effect in rotationally symmetric planar dynamical systems, Int. J. of Engineering Sci. 48 21-36. https://doi.org/10.1016/j.ijengsci.2009.06.005
  3. Tsuchida, M., Guilherme, K. L., Balthazar, J. M., 2005, On chaotic vibrations of a non-ideal system with two degrees of freedom: 1:2 resonance and Sommerfeld effect, J. of Sound and Vib. 282 1201-1207. https://doi.org/10.1016/j.jsv.2004.04.025
  4. Verichev, N. N., 2012, Chaotic torsional vibration of imbalanced shaft driven by a limited power supply, J. of Sound and Vib. 331 384-393. https://doi.org/10.1016/j.jsv.2011.08.022
  5. Balthazar, J. M., Cheshankov, B. I., Ruschev, D. T., Barbanti, L., Weber, H. I., 2001, Remarks on the passage through resonance of a vibrating system with two degrees of freedom, J. of Sound and Vib. 239:5 1075-1085. https://doi.org/10.1006/jsvi.2000.3092
  6. Fradkov, A., Tomchina, O., Tomchin, D., 2011, Controlled passage through resonance in mechanical systems, J. of Sound and Vib. 330 1065-1073. https://doi.org/10.1016/j.jsv.2010.09.031
  7. Genta, G., 2005, Dynamics of rotating systems, Springer, New York.
  8. Shin, E. S., 2013, Stability Analysis of an Asymmetric Shaft with Internal Damping, J. of KSMTE 22:1 8-14. https://doi.org/10.7735/ksmte.2013.22.1.8