Dynamic instability and chaos of empty and fluid-filled circular cylindrical shells under periodic axial loads

2006 ◽  
Vol 293 (1-2) ◽  
pp. 227-252 ◽  
Author(s):  
F. Pellicano ◽  
M. Amabili
Keyword(s):  
Dynamic Instability ◽  
Cylindrical Shells ◽  
Axial Loads ◽  
Circular Cylindrical Shells

Imperfection Sensitivity of Compressed Circular Cylindrical Shells Under Periodic Axial Loads

2009 ◽  
Author(s):  
Francesco Pellicano
Keyword(s):  
Differential Equations ◽  
Dynamic Stability ◽  
Cylindrical Shells ◽  
Nonlinear Partial Differential Equations ◽  
Excitation Frequency ◽  
Finite Amplitude ◽  
Axial Loads ◽  
Imperfection Sensitivity ◽  
Lagrange Equations ◽  
Circular Cylindrical Shells

In the present paper the dynamic stability of circular cylindrical shells is investigated; the combined effect of compressive static and periodic axial loads is considered. The Sanders-Koiter theory is applied to model the nonlinear dynamics of the system in the case of finite amplitude of vibration; Lagrange equations are used to reduce the nonlinear partial differential equations to a set of ordinary differential equations. The dynamic stability is investigated using direct numerical simulation and a dichotomic algorithm to find the instability boundaries as the excitation frequency is varied; the effect of geometric imperfections is investigated in detail. The accuracy of the approach is checked by means of comparisons with the literature.

Stability of Empty and Fluid-Filled Circular Cylindrical Shells Subjected to Dynamic Axial Loads

2002 ◽  
Author(s):  
F. Pellicano ◽  
M. Amabili ◽  
M. P. Pai¨doussis
Keyword(s):  
Dynamic Stability ◽  
Cylindrical Shells ◽  
Travelling Wave ◽  
Finite Amplitude ◽  
Axial Loads ◽  
Simply Supported ◽  
Mean Oscillation ◽  
Shell Motion ◽  
Circular Cylindrical Shells ◽  
The Mean

In the present study the dynamic stability of simply supported, circular cylindrical shells subjected to dynamic axial loads is analyzed. Geometric nonlinearities due to finite-amplitude shell motion are considered by using the Donnell’s nonlinear shallow-shell theory. The effect of structural damping is taken into account. A discretization method based on a series expansion involving a large number of linear modes, including axisymmetric and asymmetric modes, and on the Galerkin procedure is developed. Both driven and companion modes are included allowing for travelling-wave response of the shell. Axisymmetric modes are included because they are essential in simulating the inward deflection of the mean oscillation with respect to the equilibrium position. The shell is simply supported and presents a finite length. Boundary conditions are considered in the model, which includes also the contribution of the external axial loads acting at the shell edges. The effect of a contained liquid is also considered. The linear dynamic stability and nonlinear response are analysed by using continuation techniques.

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
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