A Galerkin spectral approximation in linearized beam theory

DOI10.1051/m2an/1992260304251zbMath0754.73095OpenAlexW2287036373MaRDI QIDQ4007043

L. Trabucho, Bernadette Miara

Publication date: 27 September 1992

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193670

zbMATH Keywords

displacement fieldbasis functionserror minimization

Mathematics Subject Classification ID

Related Items (7)

Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations ⋮ Homogenization and a galerkin approximation in three–dimensional beam theory ⋮ Civil engineering applications of the asymptotic expansion load decomposition beam model: an overview ⋮ Higher‐order beam model with eigenstrains: theory and illustrations ⋮ HIERARCHICAL MODELING OF THERMOELASTIC PLATES WITH VARIABLE THICKNESS ⋮ A Galerkin approximation for curved beams ⋮ Refined two-dimensional models for the analysis of free boundary flows between parallel plates

Cites Work

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• A justification of a nonlinear model in plate theory
• Homogenization and a galerkin approximation in three–dimensional beam theory
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• A justification of the one‐dimensional linear model of elastic beam
• A derivation of generalized saint venant’s torsion theory from three-dimensional elasticity by asymptotic expansion methods
• Optimal spectral approximation in linearized plate theory
• On a Dimensional Reduction Method I. The Optimal Selection of Basis Functions
• A new approach of Timoshenko's beam theory by asymptotic expansion method

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