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Solution of the relativistic (an)harmonic oscillator using the harmonic balance method

✍ Scribed by A. Beléndez; C. Pascual; D.I. Méndez; C. Neipp

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
196 KB
Volume
311
Category
Article
ISSN
0022-460X

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📜 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 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 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.

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Arguments have been given by Greenspan [1] to suggest that the equation of motion for a relativistic harmonic oscillator is (1)

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Extraneous solutions predicted by the harmonic balance method
✍ A. Hassan; T.D. Burton 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 580 KB

The harmonic balance method is commonly used to analyze the steady state periodic solutions of strongly non-linear systems. Mostly, only a few leading harmonics are used in the truncated Fourier series employed with this method. For the forced oscillations, this assumed solution can fail to uncover