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Properties of local buckling of spherical shell under external pressure
https://orcid.org/0000-0001-8410-8243
Abstract An important property of localization in buckling of spherical shells under external pressure is discussed. It is shown that the localization is possible for structures with nonlinear softening. An analytical model of local buckling of spherical shell is developed. Rayleigh–Ritz method is used at small and moderate deflections. At large deflections corresponding to relatively small pressure (less than 20% of classical bucking load) it is based on asymptotic method. The asymptotic model is then expanded to the practically important range of the load. The response of the structure to local perturbations of different types (including radial probing force, prescribed deflection at the shell pole, and energy barrier) is studied. Special attention is paid to the energy barrier which is required for structure transition from initial equilibrium state to the post-buckling dimple-like state. Energy barrier criterion is used as a measure of metastability of the structure and applied for estimation of load level separating high and low sensitivity of the shell to local perturbations. Based on this pressure value, formulae for design buckling load are proposed and deliberated. Similarities and differences of local buckling of spherical shells under external pressure and axially compressed cylindrical shells are discussed.
Highlights Localization phenomena in buckling of spherical shells under external pressure is discussed. A simple analytical model of local buckling of the shells is suggested. The model allows comprehensive analysis of the shell behavior under different types of local perturbations. This analysis can be used for estimation of design buckling load. The model is proved by comprehensive comparison with numerical data.
Properties of local buckling of spherical shell under external pressure
https://orcid.org/0000-0001-8410-8243
Abstract An important property of localization in buckling of spherical shells under external pressure is discussed. It is shown that the localization is possible for structures with nonlinear softening. An analytical model of local buckling of spherical shell is developed. Rayleigh–Ritz method is used at small and moderate deflections. At large deflections corresponding to relatively small pressure (less than 20% of classical bucking load) it is based on asymptotic method. The asymptotic model is then expanded to the practically important range of the load. The response of the structure to local perturbations of different types (including radial probing force, prescribed deflection at the shell pole, and energy barrier) is studied. Special attention is paid to the energy barrier which is required for structure transition from initial equilibrium state to the post-buckling dimple-like state. Energy barrier criterion is used as a measure of metastability of the structure and applied for estimation of load level separating high and low sensitivity of the shell to local perturbations. Based on this pressure value, formulae for design buckling load are proposed and deliberated. Similarities and differences of local buckling of spherical shells under external pressure and axially compressed cylindrical shells are discussed.
Highlights Localization phenomena in buckling of spherical shells under external pressure is discussed. A simple analytical model of local buckling of the shells is suggested. The model allows comprehensive analysis of the shell behavior under different types of local perturbations. This analysis can be used for estimation of design buckling load. The model is proved by comprehensive comparison with numerical data.
Properties of local buckling of spherical shell under external pressure
https://orcid.org/0000-0001-8410-8243
Abstract An important property of localization in buckling of spherical shells under external pressure is discussed. It is shown that the localization is possible for structures with nonlinear softening. An analytical model of local buckling of spherical shell is developed. Rayleigh–Ritz method is used at small and moderate deflections. At large deflections corresponding to relatively small pressure (less than 20% of classical bucking load) it is based on asymptotic method. The asymptotic model is then expanded to the practically important range of the load. The response of the structure to local perturbations of different types (including radial probing force, prescribed deflection at the shell pole, and energy barrier) is studied. Special attention is paid to the energy barrier which is required for structure transition from initial equilibrium state to the post-buckling dimple-like state. Energy barrier criterion is used as a measure of metastability of the structure and applied for estimation of load level separating high and low sensitivity of the shell to local perturbations. Based on this pressure value, formulae for design buckling load are proposed and deliberated. Similarities and differences of local buckling of spherical shells under external pressure and axially compressed cylindrical shells are discussed.
Highlights Localization phenomena in buckling of spherical shells under external pressure is discussed. A simple analytical model of local buckling of the shells is suggested. The model allows comprehensive analysis of the shell behavior under different types of local perturbations. This analysis can be used for estimation of design buckling load. The model is proved by comprehensive comparison with numerical data.
Properties of local buckling of spherical shell under external pressure
Evkin, A. (author)
Thin-Walled Structures ; 185
2023-02-08
Article (Journal)
Electronic Resource
English
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