A small strain, moderately large deflection finite element beam model with cross-sectional warping effect

DOI10.1007/BF01047052zbMath0718.73087OpenAlexW2026283605MaRDI QIDQ2639701

Yanyan Li

Publication date: 1989

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01047052

zbMATH Keywords

torsionNewton-Raphson methodout-of-plane warpinghelicopter rotor bladesarbitrary cross-sectionsnonlinear equilibrium equationcoupled bendingextensional behavior of beams

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05)

Cites Work

• A three-dimensional finite-strain rod model. II. Computational aspects
• Elastic torsion of thin walled bars of variable cross sections
• Theoretical and Experimental Investigation of the Nonlinear Torsion and Extension of Initially Twisted Bars
• Nonlinear finite element modeling of the dynamics of unrestrained flexible structures
• A new efficient mixed formulation for thin shell finite element models
• A new approach to the finite element modelling of beams with warping effect
• Dynamic analysis of finitely stretched and rotated three-dimensional space-curved beams
• Torsion of Pretwisted Beams Due to Axial Loading
• A Linear Theory for Pretwisted Elastic Beams
• The Effect of Initial Twist on the Torsional Rigidity of Beams—Another Point of View

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