Dynamic analysis of finitely stretched and rotated three-dimensional space-curved beams

DOI10.1016/0045-7949(88)90355-0zbMath0666.73044OpenAlexW1970831213MaRDI QIDQ3817747

Satya N. Atluri, Masashi Iura

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0045-7949(88)90355-0

zbMATH Keywords

large rotationssymmetric tangent stiffness matrixtransient dynamicsangular momentum balancestretchestotal Lagrangian description of motionlinear momentum balanceHamilton functionalconfiguration-dependent momentsconformal rotation vector representation of finite rotationsconservative force loadinghighly flexible three- dimensional space-curved beamsNewmark time-integration schemeprinciple of virtual work for elastodynamicssemi-discrete finite element equations in time

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

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