Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers

C. W. Lim; B. S. Wu

doi:10.1016/j.jsv.2004.04.030

Author(s)

C. W. Lim
B. S. Wu

Detail(s)

Original language	English
Pages (from-to)	1157-1162
Journal / Publication	Journal of Sound and Vibration
Volume	281
Issue number	3-5
Publication status	Published - 22 Mar 2005

Link(s)

DOI	DOI https://doi.org/10.1016/j.jsv.2004.04.030 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-13444260836&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(273497c7-0817-48ff-b3a4-465bd834bbe9).html

Abstract

An improved harmonic balance (HB) method is been presented to construct more accurate approximations to frequencies of oscillators with non-linear fractional powers. Unlike the classical HB method, linearization is carried out prior to harmonic balancing thus resulting in simple linear algebraic equations instead of complicated nonlinear algebraic equations. Hence, we are able to establish the approximate frequencies for the oscillators more directly. These approximate results are valid for various fractional powers including the limiting case of vanishing power. Comparing with previous approximate solutions, the approximate solutions derived here are more accurate with respect to established exact solutions. © 2004 Elsevier Ltd. All rights reserved.

Citation Format(s)

[ RIS ] [ BibTeX ]

Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers. / Lim, C. W.; Wu, B. S.
In: Journal of Sound and Vibration, Vol. 281, No. 3-5, 22.03.2005, p. 1157-1162.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Lim, CW & Wu, BS 2005, 'Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers', Journal of Sound and Vibration, vol. 281, no. 3-5, pp. 1157-1162. https://doi.org/10.1016/j.jsv.2004.04.030

Lim, C. W., & Wu, B. S. (2005). Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers. Journal of Sound and Vibration, 281(3-5), 1157-1162. https://doi.org/10.1016/j.jsv.2004.04.030

Lim CW, Wu BS. Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers. Journal of Sound and Vibration. 2005 Mar 22;281(3-5):1157-1162. doi: 10.1016/j.jsv.2004.04.030

Lim, C. W. ; Wu, B. S. / Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers. In: Journal of Sound and Vibration. 2005 ; Vol. 281, No. 3-5. pp. 1157-1162.