STATISTICAL METHODS IN THE NONLINEAR THEORY OF ELASTIC SHELLS
Statistical method in the nonlinear theory of elastic shell
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Statistical method in the nonlinear theory of elastic shell
The effects of definite and "indefinite" initial imperfections on the buckling and post buckling behavior of an axially compressed cylindrical shell are analyzed by a nonlinear theory. The definite initial imperfections considered do not contribute to the reduction of the peak buckling load; while the "indefinite" imperfections, expressed in terms of a single factor introduced by Donnell 1 , cause a reduction in the buckling strength. The physical meaning of the imperfection factor, however, needs further clarification. Two theoretical buckling processes are found to be possible. In the early stage of buckling, the cylinder may deform with a comparatively large number of waves of small amplitudes or the cylinder may deform with a comparatively small number of waves of large amplitudes. Further theoretical and experimental studies of the effects of initial imperfections and the process of buckling are suggested.
Recent theoretical and experimental research is briefly described to trace the development of deformation and the occurrence of collapse in pressurized circular cylindrical membranes under applied moment loading. The collapse of pure membrane cylinders is then compared with instability of pressurized cylindrical shells. This approach leads to a better understanding of the behavior of pressurized cylinders under bending loads. The results suggest possibilities for further research utilizing the membrane approach.
Results of modifications of large-deflection theory for isotropic materials to shells constructed of orthotropic layers and sandwich are presented. Experimental evaluation of the buckling of a rather extensive series of plywood cylinders and of a few curved panels of sandwich construction shows reasonably good agreement with buckling predicted by theory.
Large deflection theory for determining the buckling pressure of spherical shells
Instability of spherical shells subjected to external pressure
Deformation and stability of spherical shells subjected to asymmetrical loadings
Creep buckling of spherical shells
Dynamic deformation and buckling of spherical shells under blast and impact loading
Nonlinear transverse axisymmetric vibrations of shallow spherical shells
Stability of thin torispherical shells under uniform internal pressure
Vibrations - formulas for modal density, resonant frequencies & point impedance of cylindrical shells
Cylindrical shell buckling under dynamic pressure
Effect of axially symmetrical initial imperfection on buckling load of circular cylindrical shell under axial compression loading
Bending vibration of circular cylindrical shell with internal liquid having free surface
Equations of theory of shells consisting of several anisotropic layers
Fortran ii computer program for evaluation of donnell type differential equation for orthotropic circular-conical shell