NON-LINEAR EQUATIONS FOR A SHALLOW UNSYMMETRICAL SANDWICH SHELL OF DOUBLE CURVATURE
Abstract
Equations are derived which governed the behavior of an elastic unsymmetrical doubly-curved sandwich shell. The face sheets may be of unequal thicknesses and of different materials. The equations include the non-linear effects; however, the restriction is made that the radii of curvature of the element are large when compared with the over-all thickness of the sandwich. The variational procedure is used to obtain three equations which govern the behavior of the shell and to determine the required boundary conditions. These resulting equations can be expressed in terms of a stress function, the radial deflection and a function which includes the contribution of the core. For the symmetrical case where the face sheets are of equal thicknesses and the same materials these equations are shown to reduce to those given by Grigolyuk in 1957. For an example the equations are used to obtain the critical load and the snap-through load of a square cylindrical shell section loaded in the longitudinal direction. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1961
- Accession Number
- AD0263171
Entities
People
- Robert E. Fulton
Organizations
- University of Illinois Urbana–Champaign