Non-Linear Equations for a Shallow Unsymmetrical Sandwich Shell of Double Curvature

Fulton, R.E.

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https://hdl.handle.net/2142/13758 Copy

Description

Title

Non-Linear Equations for a Shallow Unsymmetrical Sandwich Shell of Double Curvature

Author(s)

Fulton, R.E.

Issue Date

1961-08

Keyword(s)

• Nonlinear equations
• Sandwich shell

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 overall 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.

Publisher

University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.

Series/Report Name or Number

Civil Engineering Studies SRS-222

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/13758

Sponsor(s)/Grant Number(s)

• Office of Naval Research. Department of the Navy.
• Contract Nonr 1834(03), Task Order 3, Project NR 064-183

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