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Evaluation of nonlinear responses and bifurcation of a rotor-bearing system mounted on moving platform

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Abstract

The assessment of nonlinear phenomena with a focus on investigating the bifurcations and chaotic behaviour of an elastically induced flexible rotor-bearing system subjected to a harmonic ground motion has been studied. The higher-order Euler–Bernoulli deformation theorem has been adopted that governs the nonlinear dynamic characteristics of the rotating system. Nonlinear vibration analysis has been carried out to determine the critical speeds, i.e., Campbell diagram followed by demonstrating the inherent nonlinear signatures through the illustration of time history, Fourier spectrum and Poincare’s map upon varying the system design variables. The perturbation technique has been used to obtain the approximate nonlinear solutions from a set of polynomial algebraic equations under steady-state condition in various resonance cases. Further, stability analysis along with successive bifurcations of the solutions has been investigated. The present nonlinear model formulated based on Euler theory has been found to be capable enough to predict the correct value of critical speeds and dynamic responses in comparison with that of model developed based on Timoshenko theory. The present outcomes can offer immense practical importance for any application of the flexible rotor-bearing system when it performs high-speed operation.

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Acknowledgements

Publishing research outcomes is an integral part of project awarded by Science and Engineering Research Board (SERB), Government of India. We thank the Science and Engineering Research Board (SERB) for providing the financial support to carry out this project at Indian Institute of Technology Jodhpur, India.

Funding

Funding was provided by Science and Engineering Research Board (Grant No. S/SERB/BP/20140012).

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Authors and Affiliations

  1. Mechanical Engineering Department, Indian Institute of Technology, Jodhpur, India

    Hanmant Phadatare, Balram Choudhary & Barun Pratiher

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  1. Hanmant Phadatare
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  2. Balram Choudhary
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  3. Barun Pratiher
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Correspondence to Barun Pratiher.

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Phadatare, H., Choudhary, B. & Pratiher, B. Evaluation of nonlinear responses and bifurcation of a rotor-bearing system mounted on moving platform. Nonlinear Dyn 90, 493–511 (2017). https://doi.org/10.1007/s11071-017-3677-9

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  • DOI: https://doi.org/10.1007/s11071-017-3677-9

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