Localized and non-localized normal modes in a strongly nonlinear discrete system

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


The free oscillations of a strongly nonlinear, discrete oscillator are examined by computing its "nonsimilar nonlinear normal modes." These are motions represented by curves in the configuration space of the system, and they are not encountered in classical, linear vibration theory or in existing nonlinear perturbation techniques. For an oscillator with weak coupling stiffness and "mistiming," both localized and nonlocalized modes are detected, occurring in small neighborhoods of "degenerate" and "global" similar modes of the "tuned" system. When strong coupling is considered, only nonlocalized modes are found to exist. An interesting result of this work is the detection of mode localization in the "tuned" periodic system, a result with no counterpart in existing theories on linear mode localization.

Original languageEnglish (US)
Title of host publication13th Biennial Conference on Mechanical Vibration and Noise
Subtitle of host publicationVibration Analysis - Analytical and Computational
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages8
ISBN (Electronic)9780791806289
StatePublished - 1991
EventASME 1991 Design Technical Conferences, DETC 1991 - Miami, United States
Duration: Sep 22 1991Sep 25 1991

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
VolumePart F168436-4


ConferenceASME 1991 Design Technical Conferences, DETC 1991
Country/TerritoryUnited States

ASJC Scopus subject areas

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


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