Dynamic stability of rotating blades (beams) eccentrically clamped to a shaft with fluctuating speed

In-plane bending vibrations of a beam rotating with a periodically fluctuating speed are considered. The partial differential equation of motion is discretisized via Galerkin's method and a set of Mathieu–Hill equations is obtained. The constant speed rotation problem is reviewed and its reflec...

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Bibliographic Details
Published in:Journal of sound and vibration 2005-02, Vol.280 (3), p.945-964
Main Authors: Turhan, Ö., Bulut, G.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:In-plane bending vibrations of a beam rotating with a periodically fluctuating speed are considered. The partial differential equation of motion is discretisized via Galerkin's method and a set of Mathieu–Hill equations is obtained. The constant speed rotation problem is reviewed and its reflections onto the fluctuating speed problem are underlined. Dynamic stability analysis is performed via a monodromy matrix method and a generalized Bolotin method. Examples of stability charts are worked out reflecting stability's dependence on various pairs of system parameters.
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2003.12.053