Weak and Strong Interactions in Vortex-Induced Resonant Vibrations of Cylindrical Structures

ISSN： 0022-460X

Source： Journal of Sound and Vibration, Vol.190, Iss.5, 1996-03, pp. : 791-820

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Abstract

Vortex-induced resonant vibrations of cylindrical structures with weak and strong fluid-structure interactions are studied by using the method of multiple scales. For weak fluid-structure interaction, the first order approximation only predicts the existence of the main inner resonance. For strong fluid-structure interaction, it generates more inner resonance phenomena. When the structural elasticity is non-linear there may exist subharmonic, superharmonic and main inner resonances. However, when the structural elasticity is linear there may exist superharmonic and main inner resonances, but no subharmonic resonance may occur. The analytical results are verified by numerical integration solutions. For the case of weak interaction, they are also in good agreement with the known theoretical and experimental results. It is also found that the method of multiple scales, up to the order of approximation considered, is not applicable to the study of main inner resonances for strong fluid-structure interaction.