Dynamic modeling and analysis of nonlinear flexible rotors supported by viscoelastic bearings

Mohammed Khair Al-Solihat*, Kamran Behdinan

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Flexible dynamic models of rotors are more efficient to capture the nonlinear dynamic behavior of rotors as compared with conventional rigid body models that ignore the geometric nonlinearities associated with shaft elastic motion. This chapter presents a dynamic modeling approach of a shaft-disk rotor system supported by nonlinear flexible bearings with consideration of the shaft flexibility and corresponding geometric nonlinearities. The system kinematics is formulated and subsequently used to derive the equation of motion considering the linear and nonlinear stiffness and damping properties of the bearings. The analytical approaches used to analyze the free vibration characteristics and nonlinear behavior of the system are then highlighted. Finally, sample results showing the effects of the bearing nonlinear properties on the nonlinear dynamic response of the system to unbalance disk force are presented.

Original languageEnglish
Title of host publicationAdvanced Multifunctional Lightweight Aerostructures
Subtitle of host publicationDesign, Development, and Implementation
Number of pages14
ISBN (Electronic)9781119756736
ISBN (Print)9781119756712
StatePublished - 12 Feb 2021
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2021 John Wiley & Sons Ltd. All rights reserved.


  • Force transmissibility
  • Harmonic balance method
  • Multi-mode frequency response
  • Nonlinear stiffness and damping
  • Shaft-disk rotor
  • Suspension system

ASJC Scopus subject areas

  • General Engineering


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