Experimental study of isolas in nonlinear systems featuring modal interactions.

Journal Article (Journal Article)

The objective of the present paper is to provide experimental evidence of isolated resonances in the frequency response of nonlinear mechanical systems. More specifically, this work explores the presence of isolas, which are periodic solutions detached from the main frequency response, in the case of a nonlinear set-up consisting of two masses sliding on a horizontal guide. A careful experimental investigation of isolas is carried out using responses to swept-sine and stepped-sine excitations. The experimental findings are validated with advanced numerical simulations combining nonlinear modal analysis and bifurcation monitoring. In particular, the interactions between two nonlinear normal modes are shown to be responsible for the creation of the isolas.

Full Text

Duke Authors

Cited Authors

  • Detroux, T; Noël, J-P; Virgin, LN; Kerschen, G

Published Date

  • January 2018

Published In

Volume / Issue

  • 13 / 3

Start / End Page

  • e0194452 -

PubMed ID

  • 29584758

Pubmed Central ID

  • PMC5870979

Electronic International Standard Serial Number (EISSN)

  • 1932-6203

International Standard Serial Number (ISSN)

  • 1932-6203

Digital Object Identifier (DOI)

  • 10.1371/journal.pone.0194452


  • eng