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Solutions of the Duffing-harmonic oscillator by an iteration procedure

✍ Scribed by H. Hu

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
134 KB
Volume
298
Category
Article
ISSN
0022-460X

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πŸ“œ SIMILAR VOLUMES

Solution of a Duffing-harmonic oscillato
Solution of a Duffing-harmonic oscillator by the method of harmonic balance
✍ H. Hu; J.H. Tang πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 91 KB

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.

Solutions of nonlinear oscillators with
Solutions of nonlinear oscillators with fractional powers by an iteration procedure
✍ H. Hu πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 136 KB

A modified iteration procedure is applied to nonlinear oscillations with fractional powers. With the procedure, the excellent approximate frequencies and the corresponding periodic solutions can be easily obtained.

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