Nonlinear dynamic analysis of elastic frames

DOI10.1016/0045-7949(89)90441-0zbMath0695.73031OpenAlexW1981034842MaRDI QIDQ3471737

Kuo Mo Hsiao, Jing-Yuh Jang

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0045-7949(89)90441-0

zbMATH Keywords

rotationsconvergencevelocitiesNewton-Raphson methodequations of motiontranslatesequilibrium iterationsincremental-iterative methodnodal coordinatesaccelerationssmall deflection beam theoryNewmark direct integration methodeffect of axial forceelement coordinate systemfixed global coordinatesin-plane framesincremental displacementsnonlinear dynamic equilibrium equationsrotatestotal strains

Mathematics Subject Classification ID

Newton-type methods (49M15) 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)

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A corotational formulation based on Hamilton's principle for geometrically nonlinear thin and thick planar beams and frames

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