| dc.description.abstract | Shells as elements of machines and structures are widely used in aircraft shipbuilding and engineering. Shells as
elements of machines and structures are widely used in aviation, shipbuilding and various fields of engineering and
technology. In this paper the problem of free vibrations of a spherical shell with a pinched edge is considered. The equations
of oscillations of a thin elastic spherical shell with a pinched edge are given. The solution is expressed through Lejandre
and exponential functions. Based on the methods of special functions of mathematical physics, Mueller method and Gauss
method, an algorithm for solving the problem on a computer is developed. An engineering method for determining the
natural frequencies of a spherical shell with a pinched edge is proposed. Numerical results are obtained on the basis of the
constructed frequency equations with complex input parameters. | en_US |
