Dynamic Instability of Circular Cylindrical Shells subject to Base Excitation

2012 ◽  
Author(s):  
F. Pellicano
Keyword(s):  
Dynamic Instability ◽  
Cylindrical Shells ◽  
Base Excitation ◽  
Circular Cylindrical Shells

Dynamic instability of circular, cylindrical shells having viscoelastic cores.

AIAA Journal ◽  
1967 ◽  
Vol 5 (6) ◽  
pp. 1128-1134
Author(s):  
CARL ZWEBEN ◽  
JEROME M. KLOSNER
Keyword(s):  
Dynamic Instability ◽  
Cylindrical Shells ◽  
Circular Cylindrical Shells

Dynamic instability of circular cylindrical shells with initial camber

1982 ◽  
Vol 18 (3) ◽  
pp. 208-212 ◽  
Author(s):  
P. S. Koval'chuk ◽  
T. S. Krasnopol'skaya ◽  
N. P. Podchasov
Keyword(s):  
Dynamic Instability ◽  
Cylindrical Shells ◽  
Circular Cylindrical Shells ◽  
Initial Camber

The Effect of Internal Flowing Fluid on the Non-Linear Behavior of Orthotropic Circular Cylindrical Shells

2014 ◽  
Vol 706 ◽  
pp. 54-68 ◽  
Author(s):  
Z.J.G.N. del Prado ◽  
A.L.D.P. Argenta ◽  
F.M.A. da Silva ◽  
Paulo Batista Gonçalves
Keyword(s):  
Dynamic Instability ◽  
Circular Cylindrical Shell ◽  
Cylindrical Shells ◽  
Great Influence ◽  
Industrial Applications ◽  
Flowing Fluid ◽  
Non Linear ◽  
Circular Cylindrical Shells ◽  
Lateral Displacements ◽  
Orthotropic Shells

The great use of circular cylindrical shells for conveying fluid in modern industrial applications has made of them an important research area in applied mechanics. Many researchers have studied this problem, however just a reduced number of these works have as object the analysis of orthotropic shells. Although most investigations deal with the analysis of elastic isotropic shells in contact with internal and external quiescent or flowing fluid, several modern and natural materials display orthotropic properties and also stiffened cylindrical shells can be treated as equivalent uniform orthotropic shells. In this work, the influence of internal flowing fluid on the dynamic instability and non-linear vibrations of a simply supported orthotropic circular cylindrical shell subjected to axial and lateral time-dependent loads is studied. To model the shell, the Donnell’s non-linear shallow shell theory without considering the effect of shear deformations is used. A model with eight degrees of freedom is used to describe the lateral displacements of the shell. The fluid is assumed to be incompressible and non-viscous and the flow to be isentropic and irrotational. The Galerkin method is applied to derive the set of coupled non-linear ordinary differential equations of motion which are, in turn, solved by the Runge-Kutta method. The obtained results show that the presence of the internal fluid and material properties have a great influence on the vibration characteristics of the shell.

Parametric Instability of Circular Cylindrical Shells

1967 ◽  
Vol 34 (4) ◽  
pp. 985-990 ◽  
Author(s):  
A. Vijayaraghavan ◽  
R. M. Evan-Iwanowski
Keyword(s):  
Longitudinal Wave ◽  
Cylindrical Shells ◽  
Parametric Instability ◽  
Excitation Frequency ◽  
Instability Region ◽  
Driving Frequency ◽  
Base Excitation ◽  
Frequency Range ◽  
Lateral Vibrations ◽  
Circular Cylindrical Shells

Parametric instability of thin, circular cylindrical shells subjected to in-plane longitudinal inertia loading arising from sinusoidal base excitation has been investigated analytically and experimentally. The shell under consideration was rigidly clamped at the base and free at the upper edge. In the applied excitation frequency range, the test specimens exhibited lateral vibrations, at half the driving frequency, with one half longitudinal wave and three full circumferential waves. The linear bending theory used in the analysis was adequate in predicting the incipience of instability, just as in the case of slender rods. Attention has been confined to investigating only the principal instability region, as observed during the experiments. Excellent agreement was obtained between the analytical and experimental results.

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