The curved beam/deep arch/finite ring element revisited

DOI10.1002/nme.1620210302zbMath0559.73078OpenAlexW2001261178MaRDI QIDQ5184500

Gangan Prathap

Publication date: 1985

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620210302

zbMATH Keywords

membrane deformationsmembrane lockingflexuralextensional deformationcurved finite elementscubic in w - linear in u curved beam elementcurved beam / deep arch / finite ring elementerrors of second kindindependently chosen low order polynomial functionsoptimal integration rules

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Numerical and other methods in solid mechanics (74S99)

Related Items (13)

Stability, convergence, and accuracy of a new finite element method for the circular arch problem ⋮ A locking-free meshfree curved beam formulation with the stabilized conforming nodal integration ⋮ Strategy for Preventing Membrane Locking Through Reparametrization ⋮ Free in-plane vibration of curved beam structures: A tutorial and the state of the art ⋮ An accurate two-node finite element for shear deformable curved beams ⋮ Invariant Hermitian finite elements for thin Kirchhoff rods. I: The linear plane case ⋮ A three‐noded shear‐flexible curved beam element based on coupled displacement field interpolations ⋮ Development of a new curved beam element with shear effect ⋮ A finite circular arch element based on trigonometric shape functions ⋮ A locking-free finite element formulation and reduced models for geometrically exact Kirchhoff rods ⋮ Curved beam elasticity theory based on the displacement function method using a finite difference scheme ⋮ Computational analysis of elastic field of deep curved beams/rings using displacement-function equilibrium method ⋮ Free in-plane vibrations of highly buckled beams carrying a lumped mass

Cites Work

• Finite-Element Analysis of Thin Elastic Shells With Residual Energy Balancing and the Role of the Rigid Body Modes

This page was built for publication: The curved beam/deep arch/finite ring element revisited