Model and Stability Analysis of a Flexible Bladed Rotor
This paper presents a fully bladed flexible rotor and outlines the associated stability analysis. From an energetic approach based on the complete energies and potentials for Euler-Bernoulli beams, a system of equations is derived, in the rotational frame, for the rotor. This later one is made of a...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Rotating Machinery |
| Online Access: | http://dx.doi.org/10.1155/IJRM/2006/63756 |
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| _version_ | 1850170981149048832 |
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| author | N. Lesaffre J.-J. Sinou F. Thouverez |
| author_facet | N. Lesaffre J.-J. Sinou F. Thouverez |
| author_sort | N. Lesaffre |
| collection | DOAJ |
| description | This paper presents a fully bladed flexible rotor and outlines the
associated stability analysis. From an energetic approach based on
the complete energies and potentials for Euler-Bernoulli beams, a
system of equations is derived, in the rotational frame, for the
rotor. This later one is made of a hollow shaft modelled by an
Euler-Bernoulli beam supported by a set of bearings. It is
connected to a rigid disk having a rotational inertia. A full set
of flexible blades is also modelled by Euler-Bernoulli beams
clamped in the disk. The flexural vibrations of the blades as well
as those of the shaft are considered. The evolution of the
eigenvalues of this rotor, in the corotational frame,
is studied. A stability detection method, bringing coalescence and
loci separation phenomena to the fore, in case of an asymmetric
rotor, is undertaken in order to determine a parametric domain
where turbomachinery cannot encounter damage. Finally, extensive
parametric studies including the length and the stagger angle of
the blades as well as their flexibility are presented in order to
obtain robust criteria for stable and unstable areas prediction. |
| format | Article |
| id | doaj-art-a3d66a0242aa4135bc90a1d8b18dedf7 |
| institution | OA Journals |
| issn | 1023-621X 1542-3034 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Rotating Machinery |
| spelling | doaj-art-a3d66a0242aa4135bc90a1d8b18dedf72025-08-20T02:20:22ZengWileyInternational Journal of Rotating Machinery1023-621X1542-30342006-01-01200610.1155/IJRM/2006/6375663756Model and Stability Analysis of a Flexible Bladed RotorN. Lesaffre0J.-J. Sinou1F. Thouverez2Equipe Dynamique des Systèmes, UMR CNRS 5513, Laboratoire de Tribologie et Dynamique des Systèmes, École Centrale de Lyon, 36 venue Guy de Collongue, Ecully Cedex 69134, FranceEquipe Dynamique des Systèmes, UMR CNRS 5513, Laboratoire de Tribologie et Dynamique des Systèmes, École Centrale de Lyon, 36 venue Guy de Collongue, Ecully Cedex 69134, FranceEquipe Dynamique des Systèmes, UMR CNRS 5513, Laboratoire de Tribologie et Dynamique des Systèmes, École Centrale de Lyon, 36 venue Guy de Collongue, Ecully Cedex 69134, FranceThis paper presents a fully bladed flexible rotor and outlines the associated stability analysis. From an energetic approach based on the complete energies and potentials for Euler-Bernoulli beams, a system of equations is derived, in the rotational frame, for the rotor. This later one is made of a hollow shaft modelled by an Euler-Bernoulli beam supported by a set of bearings. It is connected to a rigid disk having a rotational inertia. A full set of flexible blades is also modelled by Euler-Bernoulli beams clamped in the disk. The flexural vibrations of the blades as well as those of the shaft are considered. The evolution of the eigenvalues of this rotor, in the corotational frame, is studied. A stability detection method, bringing coalescence and loci separation phenomena to the fore, in case of an asymmetric rotor, is undertaken in order to determine a parametric domain where turbomachinery cannot encounter damage. Finally, extensive parametric studies including the length and the stagger angle of the blades as well as their flexibility are presented in order to obtain robust criteria for stable and unstable areas prediction.http://dx.doi.org/10.1155/IJRM/2006/63756 |
| spellingShingle | N. Lesaffre J.-J. Sinou F. Thouverez Model and Stability Analysis of a Flexible Bladed Rotor International Journal of Rotating Machinery |
| title | Model and Stability Analysis of a Flexible Bladed Rotor |
| title_full | Model and Stability Analysis of a Flexible Bladed Rotor |
| title_fullStr | Model and Stability Analysis of a Flexible Bladed Rotor |
| title_full_unstemmed | Model and Stability Analysis of a Flexible Bladed Rotor |
| title_short | Model and Stability Analysis of a Flexible Bladed Rotor |
| title_sort | model and stability analysis of a flexible bladed rotor |
| url | http://dx.doi.org/10.1155/IJRM/2006/63756 |
| work_keys_str_mv | AT nlesaffre modelandstabilityanalysisofaflexiblebladedrotor AT jjsinou modelandstabilityanalysisofaflexiblebladedrotor AT fthouverez modelandstabilityanalysisofaflexiblebladedrotor |