This paper deals with the buckling problem of partially liquid-surrounded circular cylindrical shells under torsion to analyze systematically the stability of cylindrical offshore structures. A theoretical analysis is performed by means of the Galerkin method on the basis of the Donnell-type equation for shells, taking the effect of the axisymmetric deformation due to the static liquid pressure into consideration. Calculations are carried out for both simply supported and clamped shells and the torsional buckling loads
ks are determined for various values of the shell geometric parameter
Z, liquid pressure parameter
px and liquid depth ratio
l0.
The main results obtained are as follows:
(1) The torsional buckling load ratio
ks decreases monotonously with an increase in the values of
l0 and/or
px. With an increase in
px, the buckling wave number ratio β increases for small value of
l0 and decreases for large value of
l0.
(2) The effects of the shell geometries
Z on the torsional buckling load ratio
ks are almost negligible for the simply supported shells.
(3) The effects of the boundary conditions on the torsional buckling load ratio
ks are almost negligible, especially in case of
l0=1.0.
(4) The effects of the surrounding liquid and the torsional load on the prebuckling and buckling deformation are clarified by means of the contour map representation.
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