Sparse Polynomial Chaos Expansion for Uncertainty Quantification of Composite Cylindrical Shell with Geometrical and Material Uncertainty

The geometrical dimensions and mechanical properties of composite materials exhibit inherent variation uncertainty in practical engineering. Uncertainties propagate to the structural performance cylindrical shells under hydrostatic pressure. However, traditional methods for quantification uncertainty, such as Monte Carlo simulation response surface method, are either time consuming with low convergence rates or unable deal high-dimensional problems. In this study, critical buckling pressure a shell material uncertainties was investigated by means sparse polynomial chaos expansion (PCE). With limited design samples, PCE built validated predictive accuracy. Statistical moments (mean standard deviation) global sensitivity analysis results were obtained based on PCE. mean deviation 3.5777 MPa 0.3149 MPa, coefficient 8.801%. Global from Sobol’ indices Morris method showed that longitudinal modulus has massive influence shell, whereas transverse modulus, shear Poisson’s ratio have weak influence. When ply thickness orientation angle does not surpass 2%, study shows is effective at resolving problem uncertainty.