Probabilistic Analysis of the Buckling of Thin-Walled Shells using an Imperfection Database and a Two-Mode Analysis.

摘要

This memorandum is about the probabilistic analysis and design of thin-walled cylinders. Use has been made of an imperfection database and of a two-mode imperfection analysis. The database has been filled with all the available tests on thin-walled isotropic cylinders loaded under axial compression. All numerical values of the test data are given in standard international units. The selection interface, for output and analysis of the buckling data, has been improved in order to include selection of variables such as the ratio of the shell radius divided by the shell thickness, or the ratio of the experimental buckling load divided by the classical buckling load. It has also been made possible to impose constraints on the experimental buckling load divided by the classical buckling load and the ratio of the experimental buckling stress divided by the yield stress. Several small programs were created in order to calculate and plot histograms and reliability functions of selected data. Also statistical properties of selected data, such as the expectation and variance, can be calculated and printed. These programs are connected to the selection interface.