Abstract
Results are given for a series of tests conducted to determine the elastic buckling behavior of circular cylindrical shells under hydrostatic pressure and torsion, both for individual and for combined loads. Nondimensional interaction curves are presented in terms of the geometric parameters of the cylinders and, in general, follow the parabolaP+T 2=1, whereP andT are the nondimensional critical hydrostatic and torsional loads, respectively.
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Abbreviations
- D :
-
\(\frac{{Et^3 }}{{12(1 - v^2 )}}\) (flexural rigidity)
- E :
-
tensile modulus
- G :
-
shear modulus
- L :
-
shell length
- P :
-
\(\frac{{p_{cr} }}{{p_{cr} *}}\) (critical pressure ratio)
- R :
-
shell radius
- T :
-
\(\frac{{(\sigma _{xs} )_{cr} }}{{(\sigma _{xs} *)_{cr} }}\) (critical shear stress ratio)
- n :
-
number of circumferential waves
- p :
-
uniform hydrostatic pressure
- p cr :
-
critical value ofp
- p cr * :
-
critical value ofp for hydrostatic loading alone
- t :
-
shell thickness
- x, s :
-
coordinates of a point in the middle surface in the axial and circumferential directions, respectively
- γ:
-
tangent of angle between torsional buckle and generator of cylinder
- \(\bar \varepsilon _{xs}\) :
-
mean value of shear strain
- ν:
-
Poisson’s ratio
- \(\bar \sigma _{xs}\) :
-
mean value of shear stress
- \((\sigma _{xs} )_{cr}\) :
-
critical value of\(\bar \sigma _{xs}\)
- \((\sigma _{xs} *)_{cr}\) :
-
critical value of\(\bar \sigma _{xs}\) for torsional loading alone
References
Timoshenko, S. P., andGere, J. M., “Theory of Elastic Stability,”2nd Ed., McGraw-Hill Book Co., New York, 1961.
Donnell, L. H., “Stability of Thin-Walled Tubes under Torsion,” National Advisory Committee for Aeronautics, Report 479, 1933.
Fung, Y. C., andSechler, E. E., “Instability of Thin Elastic Shells,” Structural Mechanics, Proceedings of the First Symposium on Naval Structural Mechanics, Aug. 11–14, 1958.Pergamon Press, New York, pp.115–168, 1960.
Suer, H. S., andHarris, L. A., “Stability of Thin-Walled Cylinders under Combined Torsion and External Lateral or Hydrostatic Pressure,”Jnl. Appl. Mech., Series E, 81 (1),138–139 (1959).
Batdorf, S. B., “A Simplified Method of Elastic-Stability Analysis for Thin Cylindrical Shells,” National Advisory Committee for Aeronautics, Report 874, 1947.
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The research was done while the author was at the University of Florida, Gainesville, Fla.
These results were obtained in the course of research sponsored by the Office of Ordnance Research, U. S. Army, under contract DA-01-009-ORD-671 with the University of Florida.
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Ekstrom, R.E. Buckling of cylindrical shells under combined torsion and hydrostatic pressure. Experimental Mechanics 3, 192–197 (1963). https://doi.org/10.1007/BF02325793
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DOI: https://doi.org/10.1007/BF02325793