Dynamic Behavior and Stability of a Rotor Under Base Excitation

[+] Author and Article Information
M. Duchemin, G. Ferraris

 Institut National des Sciences Appliquées de Lyon, Laboratoire de Dynamique des Machines et des Structures UMR CNRS 5006, Bâtiment d’Alembert, 8 rue des Sciences, F69 621 Villeurbanne Cedex, France

A. Berlioz

 Université Paul Sabatier, Laboratoire de Génie Mécanique de Toulouse EA 814, Bâtiment 1R2, 118 route de Narbonne, F31 062 Toulouse Cedex 4, Franceberlioz@cict.fr

J. Vib. Acoust 128(5), 576-585 (Feb 21, 2006) (10 pages) doi:10.1115/1.2202159 History: Received January 07, 2005; Revised February 21, 2006

The dynamic behavior of flexible rotor systems subjected to base excitation (support movements) is investigated theoretically and experimentally. The study focuses on behavior in bending near the critical speeds of rotation. A mathematical model is developed to calculate the kinetic energy and the strain energy. The equations of motion are derived using Lagrange equations and the Rayleigh-Ritz method is used to study the basic phenomena on simple systems. Also, the method of multiple scales is applied to study stability when the system mounting is subjected to a sinusoidal rotation. An experimental setup is used to validate the presented results.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

Reference frames used for deriving equations of motion

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Figure 2

Reference frames for the disk

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Figure 4

Experimental setup for a base exitation around the horizontal axle

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Figure 5

Block diagram of the experimental setup

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Figure 6

Transition curves between stability and instability at 2400rpm (U=unstable, S=stable)

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Figure 7

Comparison between MMS and step-by-step computation for the first zone

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Figure 8

Campbell diagram

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Figure 9

Frequencies of resonance for different values of amplitude of the base excitation



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