Stability and Nonlinear Vibrations of Closed Cylindrical Shells Interacting with a Fluid Flow (Review)

Results of systematic study of the stability and nonlinear vibrations of thin cylindrical shells interacting with a fluid flow are presented. The main patterns of dynamical deformation of shells during divergence and flutter are considered. The effect of different structural features (initial geomet...

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Bibliographic Details
Published in:International applied mechanics 2015-01, Vol.51 (1), p.12-63
Main Authors: Kubenko, V. D., Koval’chuk, P. S.
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Classical Mechanics
Cylindrical shells
Divergence
Fluid dynamics
Fluid flow
Fluids
Nonlinearity
Physics
Physics and Astronomy
Stability
Vibration
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Summary:Results of systematic study of the stability and nonlinear vibrations of thin cylindrical shells interacting with a fluid flow are presented. The main patterns of dynamical deformation of shells during divergence and flutter are considered. The effect of different structural features (initial geometrical imperfections, added concentrated masses, boundary conditions, longitudinal and transverse static loads) on the critical (divergence and flutter) velocities is analyzed. The amplitude–frequency response of shells to external periodic radial loads and internal periodic pressure caused by small pulsations of the fluid velocity is determined. A method is proposed to solve nonlinear problems describing nonstationary processes of passing resonance zones by shells interacting with the fluid flow
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-015-0672-z