Higher accuracy analytical approximations to the Duffing-harmonic oscillator
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1039-1045 |
| Journal / Publication | Journal of Sound and Vibration |
| Volume | 296 |
| Issue number | 4-5 |
| Publication status | Published - 10 Oct 2006 |
Link(s)
Abstract
A new method has been presented for analytically solving the Duffing-harmonic oscillator. The method is obtained by combining Newton's method with the harmonic balance method. By using the method, one obtains linear algebraic equations instead of nonlinear algebraic equations. The complexity of the HB method is greatly simplified. Iteration of procedure yields rapid convergence with respect to exact solution. The results are valid for the complete range of oscillation amplitude, including the limiting cases of amplitude approaching zero and infinity. © 2006 Elsevier Ltd. All rights reserved.
Citation Format(s)
Higher accuracy analytical approximations to the Duffing-harmonic oscillator. / Lim, C. W.; Wu, B. S.; Sun, W. P.
In: Journal of Sound and Vibration, Vol. 296, No. 4-5, 10.10.2006, p. 1039-1045.
In: Journal of Sound and Vibration, Vol. 296, No. 4-5, 10.10.2006, p. 1039-1045.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
