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Analytical Solutions for Period-1 Motions in a Nonlinear Jeffcott Rotor System

[+] Author Affiliations
Jianzhe Huang

Washington University in St. Louis, St. Louis, MO

Albert C. J. Luo

Southern Illinois University Edwardsville, Edwardsville, IL

Paper No. DETC2014-35458, pp. V008T11A073; 8 pages
doi:10.1115/DETC2014-35458
From:
  • ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 8: 26th Conference on Mechanical Vibration and Noise
  • Buffalo, New York, USA, August 17–20, 2014
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4641-4
  • Copyright © 2014 by ASME

abstract

In this paper, the analytical solutions of period-1 solutions are developed, and the corresponding stability and bifurcation are also analyzed by eigenvalue analysis. The Hopf bifurcations of periodic motions cause not only the bifurcation tree but quasi-periodic motions. The quasi-periodic motion can be stable or unstable. Displacement orbits of periodic motions in the nonlinear Jeffcott rotor systems are illustrated, and harmonic amplitude spectrums are presented for harmonic effects on periodic motions of the nonlinear rotor.

Copyright © 2014 by ASME
Topics: Rotors

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