Localization of energy in nonlinear systems with two degrees of freedom

A. Yu Koz'min, Yu V. Mikhlin, C. Pierre

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Energy pumping in a two-degrees-of-freedom system with linear and essentially nonlinear oscillators is studied. The kinetic energy envelopes of the linear and nonlinear subsystems are chosen to be the main characteristics of the process under consideration. A criterion that the energy of the linear oscillator excited at time zero is completely pumped over into the nonlinear oscillator is established together with an additional condition whereby the energy does not return to the linear subsystem. Optimal energy pumping mode is established using global optimization. The effect of the parameters of the system on the main characteristics is assessed

Original languageEnglish
Pages (from-to)568-576
Number of pages9
JournalInternational Applied Mechanics
Volume43
Issue number5
DOIs
StatePublished - May 2007

Keywords

  • Energy localization
  • Energy pumping
  • Global optimization
  • Linear and nonlinear oscillators

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