Nonlinear Dynamics

, Volume 91, Issue 4, pp 2319–2330 | Cite as

Chaotic characteristic of a linear oscillator coupled with vibro-impact nonlinear energy sink

  • Tao Li
  • Claude-Henri Lamarque
  • Sébastien Seguy
  • Alain Berlioz
Original Paper


The chaotic characteristic of a system with vibro-impact nonlinear energy sink is studied here. An analytical method is developed to calculate Lyapunov exponent. The mechanism by which impact results in chaos is further clarified rather than only by the calculation of Lyapunov exponent. In addition, an approach to identifying Lyapunov exponents from experimental data is proposed, and the estimated results are consistent with numerical results.


Chaos Lyapunov exponent Vibro-impact Nonlinear energy sink Targeted energy transfer Impact damper 



The authors acknowledge the French Ministry of Science and the Chinese Scholarship Council under Grant No. 20130449 0063 for their financial support.


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© Springer Science+Business Media B.V., part of Springer Nature 2017

Authors and Affiliations

  1. 1.Institut Clément Ader (ICA), CNRS-INSA-ISAE-Mines Albi-UPSUniversité de ToulouseToulouseFrance
  2. 2.LTDS UMR CNRS 5513Université de Lyon, École Nationale des Travaux Publics de l’ÉtatVaulx-en-Velin CedexFrance

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