Dynamics of a system of coupled oscillators with geometrically nonlinear damping

D. K. Andersen, A. F. Vakakis, L. A. Bergman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The influence of adding a geometrically nonlinear viscous damper to a system of coupled oscillators with essential nonlinear stiffness will be discussed. All nonlinear terms are restricted to the coupling terms between a linear oscillator and light attachment. We show that the addition of the nonlinear damper introduces dynamics not observed with linear damping. In fact, we find the surprising result that the nonlinear damper introduces new dynamics into the problem, and its effect on the dynamics is far from being purely parasitic - as one would expect in the case of weak linear viscous dissipation. Similar to essential nonlinear stiffness, geometrically nonlinear damping of the type considered in our work is physically realizable by means of linear viscous damping elements. Numerical work examining this problem will be discussed.

Original languageEnglish (US)
Title of host publicationNonlinear Modeling and Applications - Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010
PublisherSpringer New York LLC
Pages1-7
Number of pages7
ISBN (Print)9781441997180
DOIs
StatePublished - 2011

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
Volume2
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652

ASJC Scopus subject areas

  • Engineering(all)
  • Computational Mechanics
  • Mechanical Engineering

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  • Cite this

    Andersen, D. K., Vakakis, A. F., & Bergman, L. A. (2011). Dynamics of a system of coupled oscillators with geometrically nonlinear damping. In Nonlinear Modeling and Applications - Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010 (pp. 1-7). (Conference Proceedings of the Society for Experimental Mechanics Series; Vol. 2). Springer New York LLC. https://doi.org/10.1007/978-1-4419-9719-7_1