Methods of Analysis for Variable Wall Thicknesses of Cylindrical Shells Subjected to Arbitrary Pressure Distributions

摘要

Methods of analysis for thin-walled circular shells having variable thickness in the longitudinal direction and subjected to arbitrary pressure distributions are discussed. Methods suitable for digital machine computation are given for two types of problems. In the first case the shell is assumed to be free at one end and clamped at the other. It is loaded by a pressure distribution symmetrical about a plane containing the axis of the cylinder but otherwise arbitrary. The second case treated is that of a cylindrical shell subjected to a rotationally symmetric pressure or temperature distribution and with various end conditions. A numerical example is given for the free-clamped end case and the results are compared with experimental data. The method for rotationally symmetric pressure and temperature distributions is applied to some problems for which closed form solutions are possible and the results are compared with these exact solutions. (Author)