Abstract
The buckling behavior of an underwater shell of revolution structure of optimum form—an echinodome—is examined under axisymmetric and symmetric point loads both experimentally and theoretically. For the concentrated loadings, experimental predictions of critical buckling are based on the Southwell technique and a possible alternative method is suggested. Bifurcation and nonlinear collapse buckling analyses are described theoretically. Within the bifurcation investigation both linear and nonlinear approaches are included. The effects of base fixity on the instability of the structure are considered. Comparisons are made with earlier external-pressure loading effects and the relative significance of the two forms of loading are discussed.
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Abbreviations
- D :
-
maximum diameter of shell
- E :
-
Young's modulus
- H :
-
height of shell
- P :
-
point load
- P cr :
-
critical buckling point load
- P lb :
-
linear bifurcation buckling point load
- P nc :
-
nonlinear collapse buckling point load
- P nb :
-
nonlinear bifurcation buckling point load
- r :
-
correlation coefficient
- r 1,r 2 :
-
meridional and circumferential radii of curvature
- t w :
-
shell-wall thickness
- w :
-
normal displacement of shell surface
- z o :
-
pressure head at apex of shell
- γ:
-
liquid density
- ϕ:
-
meridional angle
- ν:
-
Poisson's ratio
- ρ:
-
mass density
- σ d :
-
design stress
- θ:
-
circumferential angle
- ω:
-
circular frequency
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Royles, R., El-Deeb, K.M.M. Static buckling appraisal of an echinodome. Experimental Mechanics 33, 263–269 (1993). https://doi.org/10.1007/BF02322140
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DOI: https://doi.org/10.1007/BF02322140