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Stability and Stationary Response of a Skew Jeffcott Rotor With Geometric Uncertainty

[+] Author Affiliations
Nicolas Driot

LaMCoS INSA-Lyon, Villeurbanne, France

Alain Berlioz

University of Toulouse, Toulouse, France

Claude Henri Lamarque

LGM ENTPE-Lyon, Vaulx en Velin, France

Paper No. DETC2007-34737, pp. 925-932; 8 pages
doi:10.1115/DETC2007-34737
From:
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4806-X | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME

abstract

The dynamical behavior of an asymmetrical Jeffcott rotor subjected to a base translational motion is investigated. As the geometry of the skew disk is not well defined, we introduce some randomness. This uncertainty affects a particular parameter in the time-variant motion equations. Consequently, the amplitude of the parametric excitation is a random parameter which leads us to investigate the robustness of the dynamics. The stability is first studied by introducing a transformation of coordinates (feasible in this case) making the problem simpler. Then, far away from the unstable area, the random forced steady state response is computed from the original motion equations. The Taguchi’s method is used to provide statistical moments of the forced response.

Copyright © 2007 by ASME

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