Application of the method of direct separation of motions to the parametric stabilization of an elastic wire

DOI10.1007/S11071-008-9331-9zbMath1173.74017OpenAlexW1995047798WikidataQ107164370 ScholiaQ107164370MaRDI QIDQ840505

Ekaterina V. Shishkina, Iliya I. Blekhman, Matthew P. Cartmell, Serge N. Gavrilov

Publication date: 11 September 2009

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

Full work available at URL: https://doi.org/10.1007/s11071-008-9331-9

zbMATH Keywords

parametric excitationinverted pendulumBernoulli-Euler beamIndian magic rope trick

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

Related Items (6)

On the effect of damping on the stabilization of mechanical systems via parametric excitation ⋮ Effects produced by oscillations applied to nonlinear dynamic systems: a general approach and examples ⋮ Vibrational control and resonance of a nonlinear tilted cantilever beam under multi-harmonic low and high-frequency excitations ⋮ A multi-component lattice Boltzmann approach to study the causality of plastic events ⋮ Stabilization via parametric excitation of multi-dof statically unstable systems ⋮ Nonlinear dynamics and control of galloping vibration under unsteady wind flow by high-frequency excitation

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• The ‘Indian rope trick’ for a parametrically excited flexible rod: nonlinear and subharmonic analysis
• Resonance Tongue Interaction in the Parametrically Excited Column
• The ‘Indian rope trick’ for a parametrically excited flexible rod: linearized analysis

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