Shell and Plate Analysis by Finite Elements

by Rembert F. Jones, Jr., (M.ASCE), Head; Design Applications Branch, Naval Ship Res. and Development Ctr., Dept. of Navy, Bethesda, MD,

Serial Information: Journal of the Structural Division, 1973, Vol. 99, Issue 5, Pg. 889-902

Document Type: Journal Paper


A doubly-curved quadrilateral shell element is described which uses the exact shell geometry in computing the stiffness matrix and consistent load vector. The element's degree-of-freedom may be transformed to and from three-dimensional coordinate systems, which enables it to be used in the analysis of branched and stiffened shells. The elimination of midside nodes through the assumption of linear variation of derivative degrees-of-freedom on the four sides reduces data input requirements considerably and, yet, does not detract from the element's performance. The element's convergence characteristics provide solutions to linear and nonlinear problems with a minimum number of elements.

Subject Headings: Finite element method | Plates | Stiffening | Three-dimensional analysis | Linear functions | Curvature | Geometrics | Matrix (mathematics)

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