Buckling of a long cylindrical shell containing an elastic core

AIAA Journal ◽  
1965 ◽  
Vol 3 (9) ◽  
pp. 1710-1715 ◽  
Author(s):  
G. HERRMANN ◽  
M. J. FORRESTAL
Keyword(s):  
Cylindrical Shell ◽  
Elastic Core ◽  
Long Cylindrical Shell

Buckling of Axially Compressed Long Cylindrical Shell With Elastic Core

1962 ◽  
Vol 29 (2) ◽  
pp. 329-334 ◽  
Author(s):  
J. C. Yao
Keyword(s):  
Cylindrical Shell ◽  
Numerical Results ◽  
Theoretical Solution ◽  
Buckling Mode ◽  
Elastic Core ◽  
Long Cylindrical Shell ◽  
Special Case

This paper presents a theoretical solution to the problem of determining the buckling characteristics of an axially compressed, long, cylindrical shell which contains a solid or elastic core with a modulus lower than that of the shell. The buckling mode is assumed to be sinusoidal in both the axial and circumferential directions, with the bellows mode taken as a special case. Numerical results are obtained for the buckling characteristics of cylinders with solid cores. These results are found similar to those of P. Seide, who considered the bellows buckling mode.

scholarly journals A NOTE ON THE CYLINDRICAL COLLAPSE OF COUNTER-ROTATING DUST

2002 ◽  
Vol 11 (09) ◽  
pp. 1469-1477 ◽  
Author(s):  
SÉRGIO M. C. V. GONÇALVES ◽  
SANJAY JHINGAN
Keyword(s):  
Cylindrical Shell ◽  
Initial Data ◽  
Analytical Solutions ◽  
Curvature Singularity ◽  
Apparent Horizons ◽  
Long Cylindrical Shell ◽  
Hoop Conjecture ◽  
Cylindrical Collapse

We find analytical solutions describing the collapse of an infinitely long cylindrical shell of counter-rotating dust. We show that — for the classes of solutions discussed herein — from regular initial data a curvature singularity inevitably develops, and no apparent horizons form, thus in accord with the spirit of the hoop conjecture.

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