Nonlinear transverse vibrations of a slightly curved beam carrying a concentrated mass

DOI10.1007/S10409-009-0275-1zbMath1269.74101OpenAlexW2004650813MaRDI QIDQ358722

Mohammad Hasan, M. Dambrine

Publication date: 9 August 2013

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-009-0275-1

zbMATH Keywords

nonlinear elastic foundationnonlinear vibrationsconcentrated massslightly curved beam

Mathematics Subject Classification ID

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

Related Items (3)

Chaos and subharmonic bifurcation of a composite laminated buckled beam with a lumped mass ⋮ Natural frequencies of nonlinear vibration of axially moving beams ⋮ Nonlinear vibration of a slightly curved beam with quasi-zero-stiffness isolators

Cites Work

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• Linear transverse vibrations of a simply supported beam carrying concentrated masses.
• On non-linear vibration analyses of continuous systems with quadratic and cubic non-linearities
• Closed-loop non-linear control of an initially imperfect beam with non-collocated input
• NON-LINEAR VIBRATIONS OF A BEAM-MASS SYSTEM UNDER DIFFERENT BOUNDARY CONDITIONS
• Non-linear vibrations of a clamped beam with initial deflection and initial axial displacement, Part I: Theory
• A simple cubic linear element for static and free vibration analyses of curved beams
• Nonlinear Flexural Oscillations of Shallow Arches

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