THE STABILITY OF THE MOMENTLESS STATE OF MULTIPLY ANISOTROPIC SHELLS
Abstract
The stability of the elastic equilibrium of sloping shells subjected to combined loads was examined. The solution of the problem of the stability of elastic equilibrium is obtained by minimizing the integral expression involving the Lame parameters, the Gaussian coordinates on the surface of reduction, the energy of deformation per unit area of the surface of reduction, the energy expression for the first order of smallness and the energy of deformation for the 2-ply shell. The solution of the problem of the stability of sloping shells is obtained by minimizing the energy functional equation. Mathematical expressions are given for conditions relating to the stability of plates and shells (axial compression of a cylindrical shell; a spherical shell at uniform external pressures; and a sloping spherical shell, triangular in plan), and nonlinear problems of the stability of layered shells.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 13, 1961
- Accession Number
- AD0267739
Entities
People
- A.v. Sachenkov
- V.g. Vybornov
Organizations
- National Air and Space Intelligence Center