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Critical Speeds of Continuous Shaft-Disc Systems

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Part of the NATO ASI Series book series (NSSE,volume 174)


This study is concerned with the combination of a linearly tapered stepped and uniform cross-sectioned continuous shaft-disc system on rigit supports.

The critical speed of a rotor consisting of a single disc on a solid shaft is investigated. Since the disc radius to shaft radius ratio is assumed to be considerably small, the disc is treated as a beam element. Euler-Bernouli beam theory is used in the analysis. Furthermore, the gyroscopic and rotary inertia effects of the disc are neglected. The transfer matrix-finite element model is developed for the dynamic analysis and applied to various geometry of the disc-shaft systems. The theoretical results show very close agreement with the theoretical and experimental results of other investigators. The effects of various tapers on the frequencies of vibration are also presented.


  • Transfer Matrix
  • Critical Speed
  • Shaft Diameter
  • Bladed Disc
  • Tapered Section

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  • DOI: 10.1007/978-94-009-1914-3_14
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© 1990 Kluwer Academic Publishers

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Sabuncu, M., Kaçar, A. (1990). Critical Speeds of Continuous Shaft-Disc Systems. In: Montalvão e Silva, J.M., Pina da Silva, F.A. (eds) Vibration and Wear in High Speed Rotating Machinery. NATO ASI Series, vol 174. Springer, Dordrecht.

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7354-7

  • Online ISBN: 978-94-009-1914-3

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