Flexural-flexural-torsional Nonlinear Vibrations of Pre-twisted Rotating Beams with Asymmetric Cross-sections

The equations of nonlinear flexural-flexural-torsional vibrations of rotating beams with asymmetric cross-sections are derived. As the cross-section is asymmetric the centre of gravity and shear centre of a beam cross-section are not assumed to coincide. The nonlinear vibrations are expanded into fl...

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Bibliographic Details
Published in:Journal of vibration and control 2007-04, Vol.13 (4), p.329-364
Main Authors: Avramov, K.V., Pierre, C., Shyriaieva, N.
Format: Article
Language:English
Subjects:
Mechanical engineering
Nonlinear equations
Propellers
Torsion
Vibration
Vibration analysis
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Summary:The equations of nonlinear flexural-flexural-torsional vibrations of rotating beams with asymmetric cross-sections are derived. As the cross-section is asymmetric the centre of gravity and shear centre of a beam cross-section are not assumed to coincide. The nonlinear vibrations are expanded into flexural-torsional vibrational mode series. Using the Galerkin technique, the large-scale system of ordinary differential equations is derived. The non-linear modes are used to study teh free vibrations of a rotating beam, and the backbone curves of the free vibrations and the surfaces of the non-linear modes are also presented.
ISSN:1077-5463
1741-2986
DOI:10.1177/1077546307073675