NON-LINEAR DYNAMICS AND STABILITY OF CIRCULAR CYLINDRICAL SHELLS CONTAINING FLOWING FLUID. PART III: TRUNCATION EFFECT WITHOUT FLOW AND EXPERIMENTS

2000 ◽  
Vol 237 (4) ◽  
pp. 617-640 ◽  
Author(s):  
M. AMABILI ◽  
F. PELLICANO ◽  
M.P. PAÏDOUSSIS
Keyword(s):  
Cylindrical Shells ◽  
Flowing Fluid ◽  
Linear Dynamics ◽  
Non Linear ◽  
Circular Cylindrical Shells

Non-linear dynamics and stability of circular cylindrical shells conveying flowing fluid

2002 ◽  
Vol 80 (9-10) ◽  
pp. 899-906 ◽  
Author(s):  
Marco Amabili ◽  
Francesco Pellicano ◽  
Michael P. Paı̈doussis
Keyword(s):  
Cylindrical Shells ◽  
Flowing Fluid ◽  
Linear Dynamics ◽  
Non Linear ◽  
Circular Cylindrical Shells

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.

Geometrically Nonlinear Forced Vibrations of Circular Cylindrical Shells Containing Flowing Fluid

2000 ◽  
Author(s):  
F. Pellicano ◽  
M. Amabili ◽  
M. P. Païdoussis
Keyword(s):  
Stochastic Dynamics ◽  
Cylindrical Shells ◽  
Harmonic Excitation ◽  
Linear Potential ◽  
Stochastic Motion ◽  
Flowing Fluid ◽  
Periodic Response ◽  
Shell Motion ◽  
Circular Cylindrical Shells ◽  
Flow Velocities

Abstract The response of a shell conveying fluid to harmonic excitation, in the spectral neighbourhood of one of the lowest natural frequencies, is investigated for different flow velocities. Nonlinearities due to moderately large amplitude shell motion are considered by using the nonlinear Donnell shallow shell theory. Linear potential flow theory is applied to describe the fluid-structure interaction by using the model proposed by Païdoussis and Denise. For different amplitude and frequency of the excitation and for different flow velocities, the following are investigated numerically: (i) periodic response of the system; (ii) unsteady and stochastic motion; (iii) loss of stability by jumps to bifurcated branches. The effect of the flow velocity on the nonlinear periodic response of the system has also been investigated. Poincaré maps and bifurcation diagrams are used to study the unsteady and stochastic dynamics of the system. Amplitude-modulated motions, multi-periodic solutions, chaotic responses and the so-called “blue sky catastrophe” phenomenon have been observed for different values of the system parameters; the latter two have been predicted here probably for the first time for the dynamics of circular cylindrical shells.

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