Motion confinement in a linear chain of coupled oscillators with a strongly nonlinear end attachment

Leonid Manevitch, Oleg Gendelman, Andrey I. Musienko, Alexander F. Vakakis, Lawrence Bergman

Research output: Contribution to conferencePaper

Abstract

We study the dynamics of a semi-infinite linear chain of particles that is weakly coupled to a strongly nonlinear oscillator at its free end. We analyze families of localized standing waves situated inside the lower or upper attenuation zones of the linear chain, corresponding to energy predominantly confined in the nonlinear oscillator. These families of standing waves are generated due to resonant interactions between the chain and the nonlinear attachment. A scenario for the realization of energy pumping phenomena in the system under consideration is discussed, and is confirmed by direct numerical simulations of the chain-attachment dynamic interaction.

Original languageEnglish (US)
Pages2369-2374
Number of pages6
DOIs
StatePublished - Jan 1 2003
Event2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Chicago, IL, United States
Duration: Sep 2 2003Sep 6 2003

Other

Other2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference
CountryUnited States
CityChicago, IL
Period9/2/039/6/03

ASJC Scopus subject areas

  • Engineering(all)

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    Manevitch, L., Gendelman, O., Musienko, A. I., Vakakis, A. F., & Bergman, L. (2003). Motion confinement in a linear chain of coupled oscillators with a strongly nonlinear end attachment. 2369-2374. Paper presented at 2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Chicago, IL, United States. https://doi.org/10.1115/detc2003/vib-48588