In this paper, the nonlinear vibrations of rotating beams with large displacements are investigated by the use of the co-rotational (C-R) finite element method. In the C-R approach, the full motion is decomposed into a rigid body part and a pure deformational part by introducing a local coordinate system attached to the element. The originality we propose in this study is to derive its formulation in a rotating reference frame and include both centrifugal and gyroscopic effects. The nonlinear governing equations are obtained from Lagrange's equations using a consistent expression for the kinetic energy. With this formulation, the spin-stiffening effect from geometrical nonlinearities due to large displacements is accurately handled. The proposed approach is then applied to several types of mechanical analysis (static large deformation, modal analysis at different spin speeds, and transient analysis after an impulsive force) to verify its accuracy and demonstrate its efficiency.
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Nonlinear Vibration of Rotating Corotational Two-Dimensional Beams With Large Displacement
Zihan Shen,
Zihan Shen
Ecole Centrale de Lyon,
LTDS UMR 5513,
Ecully 69130, France;
ANSYS France,
Villeurbanne 69100, France
e-mail: zihan.shen@doctorant.ec-lyon.fr
LTDS UMR 5513,
Ecully 69130, France;
ANSYS France,
Villeurbanne 69100, France
e-mail: zihan.shen@doctorant.ec-lyon.fr
Search for other works by this author on:
Benjamin Chouvion,
Benjamin Chouvion
Ecole Centrale de Lyon,
LTDS UMR 5513,
Ecully 69130, France
LTDS UMR 5513,
Ecully 69130, France
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Fabrice Thouverez,
Fabrice Thouverez
Ecole Centrale de Lyon,
LTDS UMR 5513,
Ecully 69130, France
LTDS UMR 5513,
Ecully 69130, France
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Aline Beley,
Aline Beley
ANSYS France,
Villeurbanne 69100, France
Villeurbanne 69100, France
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Jean-Daniel Beley
Jean-Daniel Beley
ANSYS France,
Villeurbanne 69100, France
Villeurbanne 69100, France
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Zihan Shen
Ecole Centrale de Lyon,
LTDS UMR 5513,
Ecully 69130, France;
ANSYS France,
Villeurbanne 69100, France
e-mail: zihan.shen@doctorant.ec-lyon.fr
LTDS UMR 5513,
Ecully 69130, France;
ANSYS France,
Villeurbanne 69100, France
e-mail: zihan.shen@doctorant.ec-lyon.fr
Benjamin Chouvion
Ecole Centrale de Lyon,
LTDS UMR 5513,
Ecully 69130, France
LTDS UMR 5513,
Ecully 69130, France
Fabrice Thouverez
Ecole Centrale de Lyon,
LTDS UMR 5513,
Ecully 69130, France
LTDS UMR 5513,
Ecully 69130, France
Aline Beley
ANSYS France,
Villeurbanne 69100, France
Villeurbanne 69100, France
Jean-Daniel Beley
ANSYS France,
Villeurbanne 69100, France
Villeurbanne 69100, France
1Corresponding author.
Manuscript received June 26, 2018; final manuscript received July 10, 2018; published online December 7, 2018. Editor: Jerzy T. Sawicki.
J. Eng. Gas Turbines Power. May 2019, 141(5): 051008 (8 pages)
Published Online: December 7, 2018
Article history
Received:
June 26, 2018
Revised:
July 10, 2018
Citation
Shen, Z., Chouvion, B., Thouverez, F., Beley, A., and Beley, J. (December 7, 2018). "Nonlinear Vibration of Rotating Corotational Two-Dimensional Beams With Large Displacement." ASME. J. Eng. Gas Turbines Power. May 2019; 141(5): 051008. https://doi.org/10.1115/1.4041024
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