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An improvement to the quasi-steady model with application to cross-flow-induced vibration of tube arrays

Published online by Cambridge University Press:  26 April 2006

S. Granger  and
M. P. Païdoussis
S. Granger
Affiliation:
Research and Development Division, Electricité de France, Chatou, France
M. P. Païdoussis
Affiliation:
Department of Mechanical Engineering, McGill University, Montréal, Québec, H3A 2K6, Canada
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Abstract

A generalization of the quasi-steady theory is proposed, the aim of which is to model the most important unsteady effects neglected by the conventional quasi-steady assumption. Although this generalized model, referred to as the quasi-unsteady model, can be applied in a vast range of flow-induced vibration problems, including classical aeroelasticity, it was primarily developed to improve the theoretical prediction of the fluidelastic behaviour of a single flexible cylinder positioned in the midst of an array of rigid cylinders. In this context, it is shown that the previous improvement to the quasi-steady theory proposed by Price & Païdoussis can be considered as a particular case of the quasi-unsteady model. Results obtained with the quasi-unsteady model are compared to experimental data and to solutions from the Price & Païdoussis model; both modal parameter variation with flow velocity and stability diagrams are considered. This comparison shows that the quasi-unsteady model is a clear improvement on Price & Païdoussis’ approach, leading to a more reasonable agreement with experimental results and providing refined insights into the physical mechanisms responsible for fluidelastic instability.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 320 , 10 August 1996 , pp. 163 - 184
Copyright
© 1996 Cambridge University Press

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