Accession Number : AD0706184

Title :   DETERMINATION OF THE STRESSED STATE IN LAMINAR SPHERICAL SHELLS,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Mukoed,A. P.

Report Date : 04 FEB 1970

Pagination or Media Count : 8

Abstract : The stress distribution in a thin spherical shell consisting of orthotropic layers and subjected to internal pressure is examined. It is assumed that the hypothesis of straight normals is valid for the pack of layers as a whole, and that the principal axes of orthotropy in each layer coincide with the directions of coordinate axes. The basic homoegenous equation (previously derived by the author in terms of Novozhilov's function) of axisymmetrical deformation of the above mentioned shell and its solution (containing Legendre's functions of the first and second kind) are used in obtaining expressions for stresses comprising associated Legendre functions. The latter are replaced by hypergeometric Gauss functions, and formulas in series form (suitable for computer calculation) for determining the forces and moments are derived. For cases where the calculations present mathematical difficulties, another solution (of the edge effect type) in asymptotic representation by means of the Bessel and Hankel functions is given. (Author)

Descriptors :   (*HEMISPHERICAL SHELLS, STRESSES), LAMINATES, DEFORMATION, BESSEL FUNCTIONS, SPECIAL FUNCTIONS(MATHEMATICAL), USSR

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE