Natural vibrations of a cylindrical shell with the end cap. II. Analysis of the spectrum

Using numerical and asymptotic methods, the lowest natural frequencies vibration modes of a structure consisting closed circular cylindrical shell with an end cap attached to it, having shape shallow spherical segment, are studied in paper. Three types vibrations described. Eigenfrequencies first type, close shell, were previous works. In this paper, we study forms second type (cylindrical shell) third (cantilever beam load). An optimization problem is solved determine values parameters, relative thickness its elements curvature cap, at which minimum value frequency maximum. A comparison results reveals their good agreement.