Non-linear vibration of coupled duffing oscillators by an improved incremental harmonic balance method

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  • A. Y T Leung
  • S. K. Chui


Original languageEnglish
Pages (from-to)619-633
Journal / PublicationJournal of Sound and Vibration
Issue number4
Publication statusPublished - 6 Apr 1995
Externally publishedYes


The incremental harmonic balance method is improved by (i) reversing the order of increment and linearization to find the bifurcated solution branches, (ii) using a fast Fourier transform to compute the solution increments and the Floquet matrix, and (iii) finding the secondary path after a bifurcation by an improved arc-length method. A system of two Duffing oscillators linked with a linear stiffness is taken as a numerical example. The qualitative change of solution due to the change of the linking stiffness is studied in detail. © 1995 Academic Press. All rights reserved.