Experimental and numerical investigation of thin cylindrical shell subjected to axial compression loading

2019 ◽  
Author(s):  
V. Sudhir Kumar ◽  
T. Raja ◽  
R. Balamurugan ◽  
S. Dhayaneethi
1965 ◽  
Vol 32 (4) ◽  
pp. 793-802 ◽  
Author(s):  
P. Mann-Nachbar ◽  
W. Nachbar

The chessboard buckle pattern in the solution of the linearized Donnell equations for buckling of a thin, cylindrical shell under axial compression is so sensitive to uncertainties in shell dimensions that the number of circumferential waves and the aspect ratio of the buckles is indeterminate. This problem is treated statistically. Shell dimensions are treated as random variables with probability distributions dependent on nominal values and manufacturing tolerances. Distributions for aspect ratio and number of circumferential waves are found by a Monte-Carlo technique. It is found that the linear theory does contain a mechanism for distinguishing among buckle modes. There is always a preferred buckle mode. For thin shells and attainable manufacturing tolerances, the aspect ratio of the preferred mode is closer to one than that of any other possible mode, and the corresponding number of buckles is large.


1945 ◽  
Vol 12 (2) ◽  
pp. A107-A112
Author(s):  
G. J. Schoessow ◽  
L. F. Kooistra

Abstract Results are reported of a strain-gage test conducted on a 54-in-diam cylindrical shell to which was attached two 12-in-diam pipes. The pipes were subjected to direct axial-tension loading, direct axial-compression loading, and transverse bending moments. This construction simulates the conditions which exist in boiler drums, pressure piping, hydraulic penstocks, etc., where pipe connections are subject to forces and moments that develop strains in the shell to which the pipes are attached. Moderate loading applied to the pipes resulted in 20,000-psi bending stresses in the shell. These stresses are of a magnitude that demands the respect and attention of the designers. By publication of these data, the authors hope to stimulate interest in further experimental and analytical investigations of the problem, which eventually will establish a basis for predicting the magnitude of stresses in cylindrical shells. Such data are not now available.


2018 ◽  
Vol 29 (2) ◽  
pp. 249-260
Author(s):  
Junfen Yang ◽  
Jian Xie ◽  
Haifeng Liu ◽  
Baoqi Li ◽  
Xifeng Yan

Author(s):  
Tobias Kreilos ◽  
Tobias M. Schneider

We compute nonlinear force equilibrium solutions for a clamped thin cylindrical shell under axial compression. The equilibrium solutions are dynamically unstable and located on the stability boundary of the unbuckled state. A fully localized single dimple deformation is identified as the edge state —the attractor for the dynamics restricted to the stability boundary. Under variation of the axial load, the single dimple undergoes homoclinic snaking in the azimuthal direction, creating states with multiple dimples arranged around the central circumference. Once the circumference is completely filled with a ring of dimples, snaking in the axial direction leads to further growth of the dimple pattern. These fully nonlinear solutions embedded in the stability boundary of the unbuckled state constitute critical shape deformations. The solutions may thus be a step towards explaining when the buckling and subsequent collapse of an axially loaded cylinder shell is triggered.


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