Probabilistic stability of uncertain composite plates and stochastic irregularity in their buckling mode shapes: A semi-analytical non-intrusive approach

Abstract In this study, the mechanical properties of composite plate were considered Gaussian random fields and their effects on buckling load corresponding mode shapes studied by developing a semi-analytical non-intrusive approach. The decomposed Karhunen—Loève method. strains defined based assumptions first-order higher-order shear-deformation theories. Stochastic equations motion extracted using Euler—Lagrange equations. probabilistic response space was obtained employing polynomial chaos Finally, effect spatially varying stochastic critical irregularity sequences for first time. Our findings showed that different shear deformation theories could significantly influence reliability thicker plates under compressive loading. It is suggested linear relationship exists between properties’ variation coefficient loads’ coefficient. Also, in modeling as fields, significant shapes, which crucial practical applications.