An explicit expression for the tangent-stiffness of a finitely deformed 3-D beam and its use in the analysis of space frames

DOI10.1016/0045-7949(86)90284-1zbMath0594.73045OpenAlexW2021409795MaRDI QIDQ3725632

K. Kondoh, Satya N. Atluri, Kikuaki Tanaka

Publication date: 1986

Published in: Computers & Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7949(86)90284-1

zbMATH Keywords

exact solutions large deformation arc length method post buckling generalized three moments governing differential equations displacement control method three-dimensional space frames explicit expression for the tangent- stiffness matrix incrementally moderately large non-ridig rotations nonlinear bending-stretching coupling in each element three forces three-dimensional, arbitrarily large, rigid motions

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) Bifurcation and buckling (74G60)

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