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Experimental study of isolas in nonlinear systems featuring modal interactions.

Publication ,  Journal Article
Detroux, T; Noël, J-P; Virgin, LN; Kerschen, G
Published in: PloS one
January 2018

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.

Duke Scholars

Published In

PloS one

DOI

EISSN

1932-6203

ISSN

1932-6203

Publication Date

January 2018

Volume

13

Issue

3

Start / End Page

e0194452

Related Subject Headings

  • Nonlinear Dynamics
  • General Science & Technology
 

Citation

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Detroux, T., Noël, J.-P., Virgin, L. N., & Kerschen, G. (2018). Experimental study of isolas in nonlinear systems featuring modal interactions. PloS One, 13(3), e0194452. https://doi.org/10.1371/journal.pone.0194452
Detroux, Thibaut, Jean-Philippe Noël, Lawrence N. Virgin, and Gaëtan Kerschen. “Experimental study of isolas in nonlinear systems featuring modal interactions.PloS One 13, no. 3 (January 2018): e0194452. https://doi.org/10.1371/journal.pone.0194452.
Detroux T, Noël J-P, Virgin LN, Kerschen G. Experimental study of isolas in nonlinear systems featuring modal interactions. PloS one. 2018 Jan;13(3):e0194452.
Detroux, Thibaut, et al. “Experimental study of isolas in nonlinear systems featuring modal interactions.PloS One, vol. 13, no. 3, Jan. 2018, p. e0194452. Epmc, doi:10.1371/journal.pone.0194452.
Detroux T, Noël J-P, Virgin LN, Kerschen G. Experimental study of isolas in nonlinear systems featuring modal interactions. PloS one. 2018 Jan;13(3):e0194452.

Published In

PloS one

DOI

EISSN

1932-6203

ISSN

1932-6203

Publication Date

January 2018

Volume

13

Issue

3

Start / End Page

e0194452

Related Subject Headings

  • Nonlinear Dynamics
  • General Science & Technology