Shell structures solved numerically by using a network of partial panels

Abstract

An effective means of analyzing panel structures is by use of the elemental approach, provided the element meets the requisite condition of plates and shells. The analytical development of such an element is presented here. The element is formulated by using crossed beams but departs greatly from beam theory in order to meet the necessary requirements. Correlations with classical solutions for stress and vibration indicate a sufficient degree of accuracy. The element is three-dimensional, considering curvature in two directions. Generality of the method allows for variations in geometry and material properties. The Poisson ratio effect is included without restriction, permitting any numerical value and eliminating the need of preconditions such as plane strain. Meaningful stresses are a direct result of the solution as well as the deflections and internal loads. Body and surface forces are considered in a distributed sense. © 1967 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.