Modeling the Stress State of Non-Thin Cylindrical Shells with a Perturbed Cross-Sectional Shape

The stress state problem of non-thin cylindrical shells with a perturbed cross-sectional shape is solved using spatial problem statement, analytical methods of separation of variables in two coordinate directions, approximation of functions by discrete Fourier series, and numerical solution in the third coordinate direction with the method of discrete orthogonalization. The shells with certain boundary conditions at the ends are under an external normal load. Typical features of the stress state of the shells are established depending on the length and thickness for two variants of the perturbed surface. The reference cross-sectional surface is described by Pascal's limacon parametric equation. The results obtained are presented in the form of graphs of stresses in the shells.