On a remarkable geometric-mechanical synergism based on a novel linear eigenvalue problem

DOI10.1007/s00707-021-03091-5zbMath1479.74077OpenAlexW3216931379MaRDI QIDQ824937

Herbert A. Mang, Johannes Kalliauer, Michał Malendowski

Publication date: 16 December 2021

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-021-03091-5

zbMATH Keywords

finite element methodtangent stiffness matrixbeam bendingbeam stretchingfinite difference temporal discretizationparabolic arc

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (2)

Are the terms \textit{stiffening/softening structures} mechanically unambiguous? ⋮ Conditions for minimum stiffness of proportionally loaded structures

Cites Work

• Curvatures, volumes and norms of derivatives for curves in Riemannian manifolds
• The buckling sphere, a symbiosis of mechanics and geometry
• Evolution and verification of a kinematic hypothesis for splitting of the strain energy
• Nonlinear analysis of members curved in space with warping and Wagner effects
• Effects of approximations in analyses of beams of open thin‐walled cross‐section—part I: Flexural–torsional stability
• A rational elasto-plastic spatially curved thin-walled beam element
• A spatially curved‐beam element with warping and Wagner effects
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