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The authors write: “The main objective of the present study is the buckling of perfect and imperfect stiffened conical shells as well as inves- tigation of the influence of the nonlinear pre-buckling deformation on the buckling load of stiffened conical shells. To this end, a special-purpose computer code NBISCS was developed for calculating the bifurcation point and the limit-point load level of a stiffened perfect and imperfect conical shell under arbitrary axial, torsional and hydrostatic-pressure loading.”
FROM:
Mahmood Jabareen (1) and Izhak Sheinman (2)
(1) Institute of Mechanical Systems, Department of Mechanical Engineering, ETH Zentrum, 8092 Zurich, Switzerland
(2) Faculty of Civil and Environmental Engineering, Technion – Israel Institute of Technology, Engineering, 32000 Haifa, Israel
“Stability of imperfect stiffened conical shells”, International Journal of Solids and Structures, Volume 46, No.10, May 2009, pp. 2111-2125, Special Issue in Honor of Professor Liviu Librescu
doi:10.1016/j.ijsolstr.2008.07.029
ABSTRACT: A general procedure is developed for stability of stiffened conical shells. It is used for studying the sensitivity behavior with respect to the stiffener configurations. The effect of the pre-buckling nonlinearity on the bifurcation point, as well as the limit-point load level, is examined. The unique algorithm presented by the authors is an extended version of an earlier one, adapted for determination of the limit-point load level of imperfect conical shells. The eigenvalue problem is iteratively solved with respect to the nonlinear equilibrium state up to the bifurcation point or to the limit-point load level. A general symbolic code (using MAPLE) was programmed to create the differential operators based on Donnell’s type shell theory. Then the code uses the Galerkin procedure, the Newton–Raphson procedure, and a finite difference scheme for automatic development of an efficient FORTRAN code which is used for the parametric study.
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