Journal of the Engineering Mechanics Division · 1967 · 72 citations · 0 references
EngineeringComputational EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsConvergence AnalysisFinite Element DiscretizationFinite Element FormulationShell AnalysisShell ElementsShell TheoryConvergenceFinite Difference AnalysisFinite Difference DiscretizationFinite Element ModelingFinite Element Shell FormulationsShell Finite Element AnalysisShell FormulationStiffness Matrix Formulation
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.