Nonlinear stability of cylindrical shells subjected to axial flow: Theory and experiments

2008 ◽  
Vol 309 (3-5) ◽  
pp. 637-676 ◽  
Author(s):  
K.N. Karagiozis ◽  
M.P. Païdoussis ◽  
M. Amabili ◽  
A.K. Misra
Keyword(s):  
Nonlinear Stability ◽  
Cylindrical Shells ◽  
Axial Flow ◽  
Flow Theory ◽  
Theory And Experiments

Annular Axial Flow-Induced Vibration of Cylindrical Shells by Flu¨gge’s Shell Theory

2006 ◽  
Author(s):  
Katsuhisa Fujita ◽  
Makoto Katou
Keyword(s):  
Shell Theory ◽  
Stokes Equations ◽  
Cylindrical Shells ◽  
Axial Flow ◽  
Navier Stokes ◽  
Complex Eigenvalue ◽  
Flow Induced Vibration ◽  
Navier Stokes Equations ◽  
Flowing Fluid ◽  
Narrow Passage

The unstable phenomena of thin cylindrical shells subjected to annular axial flow are investigated. In this paper, the analytical model is composed of an elastic axisymmetric shell and a rigid one which are arranged co-axially. Considering the fluid structure interaction between shells and fluid flowing through an annular narrow passage, the coupled equation of motion is derived using Flu¨gge’s shell theory and Navier-Stokes equations. The unstable phenomena of thin cylindrical shells are clarified by using the root locus based on the complex eigenvalue analysis. The numerical parameter studies on the shells with a freely supported end and a rigid one, and with both simply supported ends, are performed taking the dimensins of shells, the characteristics of flowing fluid so on as parameters. The influence of these parameters on the threshold of instability of the coupled vibration between thin cylindrical shells and annular axial flowing fluid are investigated and discussed.

scholarly journals Solving nonlinear stability problem of imperfect functionally graded circular cylindrical shells under axial compression by Galerkin's method

2012 ◽  
Vol 34 (3) ◽  
pp. 139-156 ◽  
Author(s):  
Dao Van Dung ◽  
Le Kha Hoa
Keyword(s):  
Axial Compression ◽  
Nonlinear Stability ◽  
Volume Fraction ◽  
Cylindrical Shells ◽  
Geometrical Nonlinearity ◽  
Functionally Graded ◽  
Galerkin’S Method ◽  
Galerkin's Method ◽  
Method Effects ◽  
Circular Cylindrical Shells

This paper presents an analytical approach to analyze the nonlinear stability of thin closed circular cylindrical shells under axial compression with material properties varying smoothly along the thickness in the power and exponential distribution laws. Equilibrium and compatibility equations are obtained by using Donnel shell theory taking into account the geometrical nonlinearity in von Karman and initial geometrical imperfection.  Equations to find the critical load and the load-deflection curve are established by Galerkin's method. Effects of buckling modes, of imperfection, of dimensional parameters and of volume fraction indexes to buckling loads and postbuckling load-deflection curves of cylindrical shells are investigated. In case of perfect cylindrical shell, the present results coincide with the ones of the paper  [13] which were solved by Ritz energy method.

Linear and Nonlinear Stability Analysis of Thin Cylindrical Shells under Wind Loads

1981 ◽  
Vol 9 (1) ◽  
pp. 91-113 ◽  
Author(s):  
B. Brendel ◽  
E. Ramm ◽  
D. F. Fischer ◽  
F. G. Rammerstorfer
Keyword(s):  
Stability Analysis ◽  
Nonlinear Stability ◽  
Cylindrical Shells ◽  
Wind Loads ◽  
Nonlinear Stability Analysis ◽  
Linear And Nonlinear

An experimental study of the nonlinear dynamics of cylindrical shells with clamped ends subjected to axial flow

2005 ◽  
Vol 20 (6) ◽  
pp. 801-816 ◽  
Author(s):  
K.N. Karagiozis ◽  
M.P. Païdoussis ◽  
A.K. Misra ◽  
E. Grinevich
Keyword(s):  
Nonlinear Dynamics ◽  
Experimental Study ◽  
Cylindrical Shells ◽  
Axial Flow
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