English

Nonlinear vibration localisation in a symmetric system of two coupled beams

Pattern Formation and Solitons 2022-02-22 v1

Abstract

We report nonlinear vibration localisation in a system of two symmetric weakly coupled nonlinear oscillators. A two degree-of-freedom model with piecewise linear stiffness shows bifurcations to localised solutions. An experimental investigation employing two weakly coupled beams touching against stoppers for large vibration amplitudes confirms the nonlinear localisation.

Keywords

Cite

@article{arxiv.2009.08759,
  title  = {Nonlinear vibration localisation in a symmetric system of two coupled beams},
  author = {Filipe Fontanela and Alessandra Vizzaccaro and Jeanne Auvray and Björn Niedergesäß and Aurélien Grolet and Loïc Salles and Norbert Hoffmann},
  journal= {arXiv preprint arXiv:2009.08759},
  year   = {2022}
}

Comments

14 pages, 11 figures