On the equilibrium of non-thin cylindrical shells with a dent
Ya. М. Grigorenko, Liliia S. Rozhok · Математичні методи та фізико-механічні поля · 2020
On the basis of the linear three-dimensional theory of elasticity, the problem of equilibrium of non-thin isotropic cylindrical shells with a dent under certain boundary conditions at the ends is considered. To describe the cross section of the reference surface, the limacon of Pascal equation in polar coordinates is used. By the method of separation of variables using the approximation of functions by discrete Fourier series, the three-dimensional boundary value problem is reduced to a one-dimensional one, which is solved by a stable numerical method of discrete orthogonalization. The accuracy of the results obtained is estimated. The results of solving problems are presented in the form of graphs and tables. Cite as: Ya. M. Grigorenko, L. S. Rozhok, “On the equilibrium of non-thin cylindrical shells with a dent,” Mat. Met. Fiz. Mekh. Polya , 63 , No. 2, 72–82 (2020) (in Ukrainian), https://doi.org/10.15407/mmpmf2020.63.2.72-82