Nonlinear dynamics of a hanging string with a freely pivoting attached mass - COuplages Multiphysiques Et Transferts Access content directly
Journal Articles Physica D: Nonlinear Phenomena Year : 2024

Nonlinear dynamics of a hanging string with a freely pivoting attached mass

Abstract

We show that the natural resonant frequency of a suspended flexible string is significantly modified (by one order of magnitude) by adding a freely pivoting attached mass at its lower end. This articulated system then exhibits complex nonlinear dynamics such as bending oscillations, similar to those of a swing becoming slack, thereby strongly modifying the system resonance that is found to be controlled by the length of the pivoting mass. The dynamics is experimentally studied using a remote and noninvasive magnetic parametric forcing. To do so, a permanent magnet is suspended by a flexible string above a vertically oscillating conductive plate. Harmonic and period-doubling instabilities are experimentally reported and are modeled using the Hill equation, leading to analytical solutions that accurately describe the experimentally observed tonguelike instability curves
Fichier principal
Vignette du fichier
PhysicaD2024HAL.pdf (1.81 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-04560135 , version 1 (26-04-2024)

Licence

Attribution - NonCommercial - ShareAlike

Identifiers

Cite

Filip Novkoski, Jules Fillette, Chi-tuong Pham, Eric Falcon. Nonlinear dynamics of a hanging string with a freely pivoting attached mass. Physica D: Nonlinear Phenomena, 2024, 463, pp.134164. ⟨10.1016/j.physd.2024.134164⟩. ⟨hal-04560135⟩
0 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More