Stiffness Matrix for Shallow Rectangular Shell Element

by Jerome J. Connor, Jr.,
Carlos Brebbia,

Serial Information: Journal of the Engineering Mechanics Division, 1967, Vol. 93, Issue 5, Pg. 43-66

Document Type: Journal Paper


The application of the finite element displacement method to a shallow shell is described, and a stiffness matrix for an element of rectangular plan is presented. Convergence studies are carried out for a shallow clamped hyperbolic paraboloid and the results are compared with a finite difference solution using a fine mesh spacing. Agreement to within 4% is obtained for an element size equal to twice the finite difference mesh spacing.

Subject Headings: Finite element method | Mesh generation | Spacing | Displacement (mechanics) | Stiffening | Matrix (mathematics) | Convergence (mathematics) | Comparative studies

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