Dynamics of a flexible cantilever beam carrying a moving mass

DOI10.1023/A:1008205904691zbMath0904.73031OpenAlexW47032313MaRDI QIDQ1129583

Sultan A. Q. Siddiqui, M. Farid Golnaraghi, Glenn R. Heppler

Publication date: 20 August 1998

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

Full work available at URL: https://doi.org/10.1023/a:1008205904691

zbMATH Keywords

perturbation method of multiple scalesRayleigh-Ritz methodinternal resonanceautomatic ODE solverEuler-Bernouli beamkinematic nonlinearities

Mathematics Subject Classification ID

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

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Instance of hidden instability traps in intermittent transition of moving masses along a flexible beam ⋮ Dynamic modeling of taut strings carrying a traveling mass ⋮ On the limitations of linear beams for the problems of moving mass-beam interaction using a meshfree method ⋮ Local bifurcations and codimension-3 degenerate bifurcations of a quintic nonlinear beam under parametric excitation ⋮ The development of a sliding joint for very flexible multibody dynamics using absolute nodal coordinate formulation ⋮ Exploiting internal resonance for vibration suppression and energy harvesting from structures using an inner mounted oscillator ⋮ Modelling and neural adaptive vibration control for three-dimensional Timoshenko beam with output restrictions and external disturbances ⋮ Dynamic analysis of a tapered cantilever beam under a travelling mass

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