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Solution of a Duffing-harmonic oscillator by the method of harmonic balance

✍ Scribed by H. Hu; J.H. Tang

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
91 KB
Volume
294
Category
Article
ISSN
0022-460X

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✦ Synopsis

The first-order harmonic balance method via first Fourier coefficient is used to construct an approximate frequency–amplitude relation for a Duffing-harmonic oscillator. This relation is in agreement with the result obtained by the Ritz procedure.

πŸ“œ SIMILAR VOLUMES

Non-linear vibration of coupled duffing
Non-linear vibration of coupled duffing oscillators by an improved incremental harmonic balance method
✍ A.Y.T. Leung; S.K. Chui πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 720 KB

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 bifurcat