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Three Kinds of Sommerfeld Effect in Rotor Dynamics

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Nonlinear Vibrations Excited by Limited Power Sources

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 116))

Abstract

When transverse or torsional vibration amplitudes in a rotor dynamic system is high, energy is often drawn from the drive to sustain those motions. Therefore, the part of the drive energy available for spinning the rotor reduces in that condition. This can lead to perpetual or transient capture of the rotor speed in the regime where large amplitude vibrations occur. A critical amount of additional drive power is often needed to escape the capture of the rotor speed and such an escape is often associated with a sudden jump to a higher rotor speed and reduction in the vibration amplitudes, which is formally recognised as the Sommerfeld effect. Till now, Sommerfeld effect and resonance capture has been studied for rotor dynamic systems with unbalanced rotor disc under synchronous whirl condition. In this chapter, it will be shown that two more kinds of Sommerfeld effects can exist even if the rotor shaft and disc are perfectly balanced. One of those is related to high amplitude transverse asynchronous whirl of the non-circular rotor shaft due to parametric instability. The other is related to resonance capture in torsional vibrations of the transmission shaft in a universal joint driveline. In this chapter, three simple academic examples have been considered for each of these kinds of Sommerfeld effect.

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  1. Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, Kharagpur, 721302, West Bengal, India

    A. K. Samantaray

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    Jose Manoel Balthazar

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Samantaray, A.K. (2022). Three Kinds of Sommerfeld Effect in Rotor Dynamics. In: Balthazar, J.M. (eds) Nonlinear Vibrations Excited by Limited Power Sources. Mechanisms and Machine Science, vol 116. Springer, Cham. https://doi.org/10.1007/978-3-030-96603-4_7

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  • DOI: https://doi.org/10.1007/978-3-030-96603-4_7

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