Bifurcations of parametric oscillations of beams with three equilibria

DOI10.1007/S00707-003-0022-9zbMath1064.74099OpenAlexW1998182487MaRDI QIDQ1875788

K. V. Avramov

Publication date: 31 August 2004

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

Full work available at URL: https://doi.org/10.1007/s00707-003-0022-9

zbMATH Keywords

multiple scales methodMelnikov's method

Mathematics Subject Classification ID

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

Related Items (6)

Quasiperiodic forced vibrations of a beam interacting with a nonlinear spring ⋮ On the improved Kirchhoff equation modelling nonlinear vibrations of beams ⋮ Aeroelastic interactions between plates and three-dimensional inviscid potential flows ⋮ Free nonlinear oscillations of cantilever circular cylindrical shells ⋮ On the probability of the outcomes in buckling of an elastic beam ⋮ Frictional oscillations under the action of almost periodic excitation

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