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Application of He's energy balance method to Duffing-harmonic oscillators

โœ Scribed by Momeni, M.; Jamshidi, N.; Barari, A.; Ganji, D. D.

Book ID
120633110
Publisher
Taylor and Francis Group
Year
2011
Tongue
English
Weight
221 KB
Volume
88
Category
Article
ISSN
0020-7160

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๐Ÿ“œ SIMILAR VOLUMES

Solution of a Duffing-harmonic oscillato
Solution of a Duffing-harmonic oscillator by the method of harmonic balance
โœ H. Hu; J.H. Tang ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

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

Non-linear vibration of coupled duffing
Non-linear vibration of coupled duffing oscillators by an improved incremental harmonic balance method
โœ A.Y.T. Leung; S.K. Chui ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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