Statistical analysis of the orthotropy coefficient of a multilayer shell
Abstract
Statistical analysis of the orthotropy coefficient of a multilayer shell
Incoming article date: 17.06.2025The article presents the results of statistical analysis of the orthotropy coefficient of a multilayer cylindrical shell under compressive loads. The orthotropy coefficient is defined as the ratio of the critical load for asymmetric buckling of the shell to the critical load for axisymmetric buckling of the shell. It is assumed that the structure web is formed by laying longitudinal, annular and double spiral layers. The input values are the elastic characteristics of the monolayers, assuming that these characteristics are random variables subject to the normal distribution law. The output value is the orthotropy coefficient. All calculations were performed in the MAXIMA computer algebra system. Two most common shell models were investigated: equally rigid and quasi-isotropic. It was found, in particular, that for shells with a quasi-isotropic structure, the orthotropy coefficient is “determined”.
Keywords: statistical modeling, monolayer, multilayer shell, composite material, elastic properties, stability, buckling, critical load, orthotropy coefficient, MAXIMA, Monte Carlo method.