Parametric vibrations of a horizontal beam with a concentrated mass at one end

DOI10.1016/0020-7403(82)90026-1zbMath0498.73062OpenAlexW1983361002MaRDI QIDQ1171441

Hideo Saito, Noriyoshi Koizumi

Publication date: 1982

Published in: International Journal of Mechanical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7403(82)90026-1

zbMATH Keywords

dynamic responseequation of motionGalerkin's methodharmonic balance methodinfluence of gravitysteady state responseconcentrated massparametric vibrationamplitude-frequency curvesnonlinear ordinary differential equation with periodic coefficientnonlinear terms from longitudinal inertiaone mode approximationperiodic axial displacement excitationsimply supported horizontal beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

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Nonlinear dynamics of elastic rods using the Cosserat theory: modelling and simulation

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