Ritz finite element approach to nonlinear vibrations of a Timoshenko beam

DOI10.1002/CNM.1630010106zbMath0586.73120OpenAlexW2155217803MaRDI QIDQ3711916

B. S. Sarma, T. K. Varadan

Publication date: 1985

Published in: Communications in Applied Numerical Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1630010106

zbMATH Keywords

shear deformationLagrange equationscurvature termsnonlinear free vibrationsnonlinear strain-displacement relationsreduced integration techniquedirect iteration schemeRitz finite element approachrotary inertia effectseliminate spurious constraintshinged-hinged immovable beamlinear polynomial distributionspoint of reversal of motionthree independent degrees-of-freedomthree-dimensional incremental deformations

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)

This page was built for publication: Ritz finite element approach to nonlinear vibrations of a Timoshenko beam