A simple element for static and dynamic response of beams with material and geometric nonlinearities

DOI10.1002/nme.1620200506zbMath0528.73062OpenAlexW2137115964MaRDI QIDQ3309213

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Publication date: 1984

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620200506

zbMATH Keywords

frameslarge displacementsexampleslarge rotationsmetalreinforced concrete beamscomputational proceduresstraightforward methodachieve equilibriumeffect in governing equationsfast and efficient solutioniterations at each incremental stepmaterial and/or geometrical nonlinearitiesmaterial properties at each point corresponding to uniaxial strain at pointpiecewise linearization of response equationsstiffness matrix of each element using two- dimensional grid of Gauss pointsunified simple 6 degrees-of-freedom beam finite elementwide class of static and dynamic response problems

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Numerical and other methods in solid mechanics (74S99)

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