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Research Papers

# Experimental Study on the Nonlinear Vibrations and $n×$ Amplitudes of a Rotor With a Transverse Crack

[+] Author and Article Information
Jean-Jacques Sinou1

Laboratoire de Tribologie et Dynamique des Systèmes UMR-CNRS 5513, Ecole Centrale de Lyon, 36 avenue Guy de Collongue, 69134 Ecully Cedex, Francejean-jacques.sinou@ec-lyon.fr

1

Corresponding author.

J. Vib. Acoust 131(4), 041008 (Jun 08, 2009) (6 pages) doi:10.1115/1.3086928 History: Received July 18, 2007; Revised May 30, 2008; Published June 08, 2009

## Abstract

In this paper, the nonlinear response of a rotor system containing a transverse crack is analyzed experimentally in order to propose a nondestructive detection of cracks in the rotor. More particularly, the evolutions of the $n×$ superharmonic frequency components at the various subcritical resonant peaks and the decrease in the subcritical resonant speeds are investigated for various crack depths. The experimental results that are presented in this study confirm the theoretical analysis of many researchers and provide a possible basis for an on-line monitoring system.

###### FIGURES IN THIS ARTICLE
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Copyright © 2009 by American Society of Mechanical Engineers
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## Figures

Figure 1

Experimental system with the crack position

Figure 2

Evolutions of the nonlinear vertical amplitudes (plane A3) of the cracked rotor for various crack depths and unbalances’ configurations: (a) 0gm and (b) 0.4gm

Figure 3

Evolutions of the nonlinear vertical amplitudes (plane A3) of the cracked rotor for various crack depths and unbalances’ configurations: (a) 0.8gm and (b) 1gm

Figure 4

Evolutions of the 2× superharmonic frequency components (plane A3) at the 12 subcritical resonant speed: (a) normalized horizontal amplitudes and (b) normalized vertical amplitudes

Figure 5

Evolutions of the 3× and 4× superharmonic frequency components at the 12 subcritical resonant speed: (a) plane A1—order 3×—normalized horizontal amplitude, (b) plane A1—order 3×—normalized vertical amplitude, (c) plane A1—order 4×—normalized horizontal amplitude and (d) plane A1—order 4×—normalized vertical amplitude

Figure 6

Evolutions of the 3× superharmonic frequency components at the 13 subcritical resonant speed: (a) plane A2—order 3×—normalized horizontal amplitude and (b) plane A2—order 3×—normalized vertical amplitude

Figure 7

Evolutions of the 1× superharmonic frequency components at the first critical speed for various unbalance: (a) plane A2—order 1×—normalized horizontal amplitude—unbalance 0.4gm and (b) plane A2—order 1×—normalized horizontal amplitude—unbalance 1gm

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