Nonlinear dynamics of a cantilever beam carrying an attached mass with 1:3:9 internal resonances

DOI10.1023/A:1022128029369zbMath1026.74034OpenAlexW166227791MaRDI QIDQ1402528

R. C. Kar, Santosha Kumar Dwivedy

Publication date: 28 August 2003

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022128029369

zbMATH Keywords

bifurcationcantilever beamattached massprincipal parametric resonancechaotic phenomena1:3:9 internal resonancesbase-excited beamcombination parametric resonance

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (6)

Nonlinear dynamics of a three-beam structure with attached mass and three-mode interactions ⋮ Analytical and experimental investigations of a space antenna system of four DOFs with internal resonances ⋮ Bifurcation and chaos in a bearing system ⋮ Nonlinear analysis and experimental investigation of a rigid-flexible antenna system ⋮ Primary and secondary resonance analyses of a cantilever beam carrying an intermediate lumped mass with time-delay feedback ⋮ Time-delay feedback control of a cantilever beam with concentrated mass based on the homotopy analysis method

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