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Sensitivity and uncertainty propagation in buckling of spherical shells under external pressure
https://orcid.org/0000-0001-8410-8243
Abstract The simple analytical model of spherical shell buckling suggested in the previous publication in the TWS journal is applied to studying the response of the structure to different perturbations given as random variables. Among them probing radial force, energy barrier and geometrical imperfections are considered as factors decreasing uniform buckling pressure. The model is expanded to the case of imperfect shells. The propagation of uncertainty of perturbations is studied by estimation the standard deviation of the buckling load. Monte Carlo method and the propagation of error formula based on Tailor expansion are used. The application of the methods to design buckling pressure estimation is discussed.
Highlights The used model allows comprehensive analysis of the shell behavior under different types of local perturbations. Local perturbations are considered as random variables. The statistics of response of the shell is studied. The propagation of input uncertainty (error) is investigated. This methodology can be used for estimation of design buckling load.
Sensitivity and uncertainty propagation in buckling of spherical shells under external pressure
https://orcid.org/0000-0001-8410-8243
Abstract The simple analytical model of spherical shell buckling suggested in the previous publication in the TWS journal is applied to studying the response of the structure to different perturbations given as random variables. Among them probing radial force, energy barrier and geometrical imperfections are considered as factors decreasing uniform buckling pressure. The model is expanded to the case of imperfect shells. The propagation of uncertainty of perturbations is studied by estimation the standard deviation of the buckling load. Monte Carlo method and the propagation of error formula based on Tailor expansion are used. The application of the methods to design buckling pressure estimation is discussed.
Highlights The used model allows comprehensive analysis of the shell behavior under different types of local perturbations. Local perturbations are considered as random variables. The statistics of response of the shell is studied. The propagation of input uncertainty (error) is investigated. This methodology can be used for estimation of design buckling load.
Sensitivity and uncertainty propagation in buckling of spherical shells under external pressure
https://orcid.org/0000-0001-8410-8243
Abstract The simple analytical model of spherical shell buckling suggested in the previous publication in the TWS journal is applied to studying the response of the structure to different perturbations given as random variables. Among them probing radial force, energy barrier and geometrical imperfections are considered as factors decreasing uniform buckling pressure. The model is expanded to the case of imperfect shells. The propagation of uncertainty of perturbations is studied by estimation the standard deviation of the buckling load. Monte Carlo method and the propagation of error formula based on Tailor expansion are used. The application of the methods to design buckling pressure estimation is discussed.
Highlights The used model allows comprehensive analysis of the shell behavior under different types of local perturbations. Local perturbations are considered as random variables. The statistics of response of the shell is studied. The propagation of input uncertainty (error) is investigated. This methodology can be used for estimation of design buckling load.
Sensitivity and uncertainty propagation in buckling of spherical shells under external pressure
Evkin, A. (Autor:in)
Thin-Walled Structures ; 190
22.06.2023
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Elastic buckling of clothoidal–spherical shells under external pressure – theoretical study
| Online Contents | 2015
Buckling of thin shells under external pressure
| Engineering Index Backfile | 1963
Plastic buckling pressure for spherical shells
| Engineering Index Backfile | 1962