Isogeometric configuration design sensitivity analysis of geometrically exact shear-deformable beam structures

DOI10.1016/J.CMA.2019.03.032zbMath1441.74234OpenAlexW2938302097WikidataQ128164388 ScholiaQ128164388MaRDI QIDQ2173582

Seonho Cho, Myung Jin Choi

Publication date: 17 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.03.032

zbMATH Keywords

finite deformationisogeometric analysisadjoint sensitivityconfiguration designgeometrically exact beam modelsmallest rotation method

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

A total Lagrangian Timoshenko beam formulation for geometrically nonlinear isogeometric analysis of spatial beam structures ⋮ On invariance of spatial isogeometric Timoshenko-Ehrenfest beam formulations for static analysis ⋮ An improved isogeometric collocation formulation for spatial multi-patch shear-deformable beams with arbitrary initial curvature ⋮ Geometrically exact isogeometric Bernoulli-Euler beam based on the Frenet-Serret frame ⋮ A selectively reduced degree basis for efficient mixed nonlinear isogeometric beam formulations with extensible directors ⋮ Geometrically exact thin-walled beam including warping formulated on the special Euclidean group \(SE(3)\) ⋮ Geometrically nonlinear multi-patch isogeometric analysis of spatial Euler-Bernoulli beam structures ⋮ An isogeometric finite element formulation for geometrically exact Timoshenko beams with extensible directors ⋮ Geometrically exact static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam

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