Solving of Stress State Problems of Anisotropic Thick Noncircular Cylindrical Shells with Different Nonhomogeneous Structures Based on Discrete Continual Approach

In this study, we introduce a novel approach utilizing discrete continual numerical methods to tackle the strain state problem of anisotropic noncircular cylinders with corrugated cross-sections and varying nonhomogeneous structures. Our investigation employs a comprehensive framework that integrates the separation of variables, discrete Fourier series, and a robust numerical discrete orthogonalization technique. Specifically, we focus on the intricate scenario of three-layer and continuously nonhomogeneous materials within thick, noncircular cylindrical shells. Our analysis delves into understanding the distribution of displacement and stress fields as they are influenced by the cross-sectional shape of the reference surface and the material’s mechanical properties.