A quaternion-based formulation of Euler-Bernoulli beam without singularity

DOI10.1007/s11071-011-0109-0zbMath1329.74295OpenAlexW2167971334MaRDI QIDQ437342

Zhihua Zhao, Ge-Xue Ren

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0109-0

zbMATH Keywords

finite element methodtorsionlarge deformationgyroscopic effect

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (6)

Isogeometric rotation-free analysis of planar extensible-elastica for static and dynamic applications ⋮ Weak form quadrature element analysis of planar slender beams based on geometrically exact beam theory ⋮ Implementation of geometrically exact beam element for nonlinear dynamics modeling ⋮ On a nonlinear rod exhibiting only axial and bending deformations: mathematical modeling and numerical implementation ⋮ Invariant isogeometric formulation for the geometric stiffness matrix of spatial curved Kirchhoff rods ⋮ A finite element formulation for a geometrically exact Kirchhoff-Love beam based on constrained translation

Uses Software

• RODAS

Cites Work

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