Energy transport in one-dimensional oscillator arrays with hysteretic damping

Tassos Bountis, Konstantinos Kaloudis, Joniald Shena, Charalampos Skokos, Christos Spitas

Research output: Journal PublicationArticlepeer-review

3 Citations (Scopus)


Energy transport in one-dimensional oscillator arrays has been extensively studied to date in the conservative case, as well as under weak viscous damping. When driven at one end by a sinusoidal force, such arrays are known to exhibit the phenomenon of supratransmission, i.e. a sudden energy surge above a critical driving amplitude. In this paper, we study one-dimensional oscillator chains in the presence of hysteretic damping, and include nonlinear stiffness forces that are important for many materials at high energies. We first employ Reid’s model of local hysteretic damping, and then study a new model of nearest neighbor dependent hysteretic damping to compare their supratransmission and wave packet spreading properties in a deterministic as well as stochastic setting. The results have important quantitative differences, which should be helpful when comparing the merits of the two models in specific engineering applications.

Original languageEnglish
Pages (from-to)225-236
Number of pages12
JournalEuropean Physical Journal: Special Topics
Issue number3
Publication statusPublished - Apr 2022
Externally publishedYes

ASJC Scopus subject areas

  • Materials Science (all)
  • Physics and Astronomy (all)
  • Physical and Theoretical Chemistry


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