Application of the Spline-Collocation Method to Solve Problems of Statics and Dynamics for Multilayer Cylindrical Shells with Design and Manufacturing Features

We propose a spline-collocation technique for the analysis of the static stress-strain state and the free vibrations of ribbed multilayer orthotropic cylindrical shells with attached masses. Numerical examples are used to test the solution and analyze its practical convergence depending on the number of collocation points. The stress-strain state of nuclear steam generator tubes is designed taking into account the operating conditions. It was found that with increase in the stiffness of the sludge, the internal forces on which the load-bearing capacity of the tubes strongly depends peak in the load-bearing cross-section. The bending moment and the shearing force significantly exceed the maximum bending moment in the tube without sludge.