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Coupled bending torsional vibrations of viscoelastic rotors with fractional damper

Bayat, Z ; Sharif University of Technology | 2022

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  1. Type of Document: Article
  2. DOI: 10.1177/10775463211072404
  3. Publisher: SAGE Publications Inc , 2022
  4. Abstract:
  5. The behavior of a Jeffcott rotor with lateral-torsional coupling is investigated in the presence of internal and external damping and eccentricity. The governing equations are derived based on the Lagrange method. Also, the Laplace method and linearization is used to solve the governing equations for free vibrations analysis. For a rotor with unbalance, the instability occurs when the real part of eigenvalues has positive values, and at the same time, it is the intersection point between the lines of natural frequencies. The instability speed increases with increasing the external damping, yet dependent on the internal damping and unbalance. Also, it is demonstrated that the rotor critical speed is affected by the order of fractional derivatives. © The Author(s) 2022
  6. Keywords:
  7. Jeffcott rotor ; Stability ; Vibration ; Eigenvalues and eigenfunctions ; Vibration analysis ; Coupled bending ; Coupled torsional-lateral vibration ; Fractional damper ; Governing equations ; Jeffcott rotors ; Lateral vibrations ; Torsional coupling ; Torsional vibration ; Viscoelastics ; Damping
  8. Source: JVC/Journal of Vibration and Control ; 2022 ; 10775463 (ISSN)
  9. URL: https://journals.sagepub.com/doi/abs/10.1177/10775463211072404