Nonlinear vibration analysis of a rotor system with parallel and angular misalignments under uncertainty via a Legendre collocation approach

  • Chao FuEmail author
  • Yongfeng Yang
  • Kuan Lu
  • Fengshou Gu


In this paper, the propagation of bounded uncertainties in the dynamic response of a misaligned rotor is investigated using a Legendre collocation based non-intrusive analysis method. A finite element rotor model is used and the parallel and angular misalignments are modelled by additions of stiffness and force terms to the system. A simplex meta-model for the harmonic solutions of the vibration problem is constructed to take into account the uncertainties. The influences of uncertainties in the fault parameters are analysed and the calculation performance of the interval method is validated. Different propagation mechanisms of the uncertainties are observed in the interval responses and discussed in case studies. The results of this study will promote the understandings of the nonlinear vibrations in misaligned rotor systems with interval variables.


Rotor Misalignment Bounded uncertainty Harmonic response Legendre collocation 



This work is financially supported by the National Natural Science Foundation of China (No. 11272257) and the Fundamental Research Funds for the Central Universities (No. 3102018ZY016).


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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Institute of Vibration Engineering, Northwestern Polytechnical UniversityXi’anChina
  2. 2.Centre for Efficiency and Performance EngineeringUniversity of HuddersfieldHuddersfieldUK

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