Theoretical and Experimental Analysis of a Base-Excited Rotor

[+] Author and Article Information
N. Driot1

Laboratoire de Dynamique des Machines et des Structures UMR CNRS 5006,  INSA LYON, Bât. J. D’Alembert, 18 Rue des Sciences, F-69 621 Villeurbanne, Francenicolas.driot@insa-lyon.fr

C. H. Lamarque

Laboratoire Géo-Matériaux URA CNRS 1652,  ENTPE LYON, 69 518 Vaulx-en-Velin, Franceclaude.lamarque@entpe.fr

A. Berlioz

Laboratoire de Génie Mécanique de Toulouse EA 814,  Universite Paul Sabatier, 31 077 Toulouse, Franceberlioz@cict.fr


Corresponding author.

J. Comput. Nonlinear Dynam 1(3), 257-263 (Mar 28, 2006) (7 pages) doi:10.1115/1.2209648 History: Received July 08, 2005; Revised March 28, 2006

In this study, the dynamic behavior of a flexible rotor system subjected to support excitation (imposed displacements of its base) is analyzed. The effect of an excitation on lateral displacements is investigated from theoretical and experimental points of view. The study focuses on behavior in bending. A mathematical model with two gyroscopic and parametrical coupled equations is derived using the Rayleigh-Ritz method. The theoretical study is based on both the multiple scales method and the normal form approach. An experimental setup is then developed to observe the dynamic behavior permitting the measurement of lateral displacements when the system’s support is subjected to a sinusoidal rotation. The experimental results are favorably compared with the analytical and numerical results.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

Description of the rotor

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Figure 2

Transition curves between stability and instability areas

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Figure 3

Experimental setup for a base excitation around the horizontal direction

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Figure 4

Block diagram of the experimental setup

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Figure 5

Experimental orbits when Ω and ω are ordinary: (a) experimental and (b) numerical

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Figure 6

Particular orbits when ω=nΩ, n integer (q1 versus q2 in 10−4m)

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Figure 7

Particular orbits when ω=nΩ, n rational

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Figure 8

Particular orbits when Ω=20Hz

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Figure 9

Particular orbits when Ω=40Hz




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