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Experimental Investigation and Theoretical Analysis of a Nonlinear Energy Sink Under Harmonic Forcing

[+] Author Affiliations
Etienne Gourc, Sébastien Seguy

Université de Toulouse, INSA ICA (Institut Clément Ader), Toulouse, France

Guilhem Michon

Université de Toulouse, ISAE ICA (Institut Clément Ader), Toulouse, France

Alain Berlioz

Université de Toulouse, UPS ICA (Institut Clément Ader), Toulouse, France

Paper No. DETC2011-48090, pp. 391-397; 7 pages
doi:10.1115/DETC2011-48090
From:
  • ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 1: 23rd Biennial Conference on Mechanical Vibration and Noise, Parts A and B
  • Washington, DC, USA, August 28–31, 2011
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5478-5
  • Copyright © 2011 by ASME

abstract

In the present works, we examine experimentally and theoretically the dynamic behavior of linear oscillator strongly coupled to a nonlinear energy sink under external periodic forcing. The nonlinear oscillator has a nonlinear restoring force realized geometrically with two linear springs that extend axially and are free to rotate. Hence, the force-displacement relationship is cubic. The linear oscillator is directly excited via an electrodynamic shaker. Experiments realized on the test bench consist of measuring the displacement of the oscillators while increasing and decreasing frequencies around the fundamental resonance of the linear oscillator. Many nonlinear dynamical phenomena are observed on the experimental setup such as jumps, bifurcation, and quasiperiodic regimes. The retained nonlinear model is a two degree of freedom system. The behavior of the system is then explained analytically and numerically. The complexification averaging technique is used to derive a set of modulation equation governing the evolution of the complex amplitude at the frequency of excitation, and a stability analysis is performed.

Copyright © 2011 by ASME

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