Nonlinear mode localization in discrete cyclic systems

Alexander F Vakakis, Melvin King

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


An n degree-of-freedom (DOF) periodic cyclic system with linear coupling stiffnesses and cubic nonlinear grounding stiffnesses is considered. This system possesses nonlinear normal modes (motions during which all masses vary equiperiodically) which are examined using an averaging method. One type of nonlinear mode detected is localized, corresponding to motions during which the amplitudes of a few masses are large compared to that of other masses, and thus the energy of vibration is spatially confined. Numerical simulations indicate that cyclic nonlinear systems can be designed so that motion confinement of externally applied loads occurs.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
Editors Anon
PublisherPubl by Society of Photo-Optical Instrumentation Engineers
Number of pages7
Editionpt 2
ISBN (Print)0912053410
StatePublished - 1993
EventProceedings of the 11th International Modal Analysis Conference - Kissimmee, FL, USA
Duration: Feb 1 1993Feb 4 1993


OtherProceedings of the 11th International Modal Analysis Conference
CityKissimmee, FL, USA

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics


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