Analysis of a Perforated Cylindrical Shell. Part Ii. Derivation of Equations for the Stress Analysis of a Fully Penetrated Shell

摘要

This report contains the derivation of the equations for an orthotropic circular cylindrical shell. The orthotropic material properties of the shell represent the effects of a large number of radial holes penetrating the shell surface in rectangular patterns. The general equations for the orthotropic shell are obtained and are then reduced to a rotationally symmetric form for the case when the penetration patterns extend completely around the shell and the shell is subjected to hydrostatic pressure. These axisymmetric orthotropic cylindrical shell equations are solved as the first and simplest class of solutions obtainable. The orthotropic axisymmetric shell solutions yield the stresses directly which may then be considered average stress values in our idealized structure. Consequently, the investigation later concerns itself with obtaining a method for calculating the peak stress values which occur in the actual penetrated shell. (Author)