Approximation of general arch problems by straight beam elements

DOI10.1007/BF01459071zbMath0508.73069OpenAlexW2005800339MaRDI QIDQ1838361

Michel Bernadou, Y. Ducatel

Publication date: 1982

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132810

zbMATH Keywords

numerical integrationapproximate solutioncompatibility conditionsnonconforming methodgeneral archstraight beam elements

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Membranes (74K15)

Related Items (15)

Design sensitivity for arch structures with respect to midsurface shape under static loading ⋮ A mixed finite element method for the arch problem ⋮ Formulation mixte d'un problème de jonctions de poutres adaptée à la résolution d'un problème d'optimisation ⋮ Stability of elastic rods with self-contact ⋮ An improved isogeometric collocation formulation for spatial multi-patch shear-deformable beams with arbitrary initial curvature ⋮ Approximation of general shell problems by flat plate elements. I ⋮ Unnamed Item ⋮ Approximation of shell geometry for nonlinear analysis ⋮ Approximation of shell geometry for nonlinear analysis ⋮ Approximation of the arch problem by residual-free bubbles ⋮ A mixed finite element method for the arch assembly problem ⋮ A new formulation for arch structures. Application to optimization problems ⋮ Direct approach to the minimization of the maximal stress over an arch structure ⋮ Deterioration of a finite element method for arch structures when thickness goes to zero ⋮ Approximation of a circular cylindrical shell by Clough-Johnson flat plate finite elements

Cites Work

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• Convergence of conforming finite element methods for general shell problems
• A finite element lumped mass scheme for solving eigenvalue problems of circular arches
• On the validity of the finite element analysis of circular arches represented by an assemblage of beam elements
• Formulation and convergence of a mixed finite element method applied to elastic arches of arbitrary geometry and loading
• A note on the convergence of finite element approximations for problems formulated in curvilinear coordinate systems
• A finite element approximation for the analysis of thin shells
• The finite element method after twenty-five years: A personal view
• On the validity of an approximation available in the finite element shell analysis

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