Invariant nnm manifolds for studying localized and chaotic dynamics of an array composed of stiff/soft elements

Ioannis T. Georgiou, Alexander F. Vakakis

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

Abstract

This study concerns propagation of waves in a coupled array of soft/sti oscillators. We show that the array supports a fam- ily of purely slow waves, including a solitary one, and a family of purely fast waves. The slow and fast waves interact to give rise to chaotically modulated slow/fast and fast/slow waves. Slow and fast waves are realized as two-dimensional invariant manifolds (normal modes) in phase space of a singular perturbation problem.

Original languageEnglish (US)
Title of host publication16th Biennial Conference on Mechanical Vibration and Noise
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791880401
DOIs
StatePublished - 1997
EventASME 1997 Design Engineering Technical Conferences, DETC 1997 - Sacramento, United States
Duration: Sep 14 1997Sep 17 1997

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume1A-1997

Conference

ConferenceASME 1997 Design Engineering Technical Conferences, DETC 1997
CountryUnited States
CitySacramento
Period9/14/979/17/97

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

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