On the Construction of Coordinate Functions for the Ritz Method in the Numerical Analysis of Nonaxially Symmetric Eigenoscillations of a Dome-Shaped Shell of Revolution

Abstract

We propose systems of coordinate functions that can be used in the Ritz method aimed at finding the natural modes and eigenfrequencies of nonaxially symmetric oscillations of thin-walled dome-shaped shells of revolution. The basis functions are constructed with regard for the specific features of the spectral problem, which guarantees the uniform convergence of the process of calculations. As an example, we find the dynamic characteristics for a shell in the form of a spherical dome.