Higher-order approximate solutions for nonlinear vibration of a constant-tension string

S. K. Lai; Y. Xiang; C. W. Lim; X. F. He; Q. C. Zeng

doi:10.1016/j.jsv.2008.05.003

Author(s)

S. K. Lai
Y. Xiang
C. W. Lim
X. F. He
Q. C. Zeng

Detail(s)

Original language	English
Pages (from-to)	440-448
Journal / Publication	Journal of Sound and Vibration
Volume	317
Issue number	3-5
Publication status	Published - 11 Nov 2008

Link(s)

DOI	DOI https://doi.org/10.1016/j.jsv.2008.05.003 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-48349140007&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(871333bc-34bb-4fd9-9c38-5b9b4a0d0fca).html

Abstract

A new harmonic balance approach for solving the large amplitude nonlinear vibration of a constant-tension string is introduced. The coupling of Newton's method with harmonic balancing takes the advantage of reducing the deficiency and complexity of the classical harmonic balance method in dealing with the nonlinear systems. The solutions are directly induced from a set of linear algebraic equations instead of a set of complicated, coupled nonlinear algebraic equations. Illustrative examples are selected and compared to some published data to verify the accuracy of the higher-order solutions. © 2008 Elsevier Ltd. All rights reserved.

Citation Format(s)

[ RIS ] [ BibTeX ]

Higher-order approximate solutions for nonlinear vibration of a constant-tension string. / Lai, S. K.; Xiang, Y.; Lim, C. W. et al.
In: Journal of Sound and Vibration, Vol. 317, No. 3-5, 11.11.2008, p. 440-448.

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

Lai, SK, Xiang, Y, Lim, CW, He, XF & Zeng, QC 2008, 'Higher-order approximate solutions for nonlinear vibration of a constant-tension string', Journal of Sound and Vibration, vol. 317, no. 3-5, pp. 440-448. https://doi.org/10.1016/j.jsv.2008.05.003

Lai, S. K., Xiang, Y., Lim, C. W., He, X. F., & Zeng, Q. C. (2008). Higher-order approximate solutions for nonlinear vibration of a constant-tension string. Journal of Sound and Vibration, 317(3-5), 440-448. https://doi.org/10.1016/j.jsv.2008.05.003

Lai SK, Xiang Y, Lim CW, He XF, Zeng QC. Higher-order approximate solutions for nonlinear vibration of a constant-tension string. Journal of Sound and Vibration. 2008 Nov 11;317(3-5):440-448. doi: 10.1016/j.jsv.2008.05.003

Lai, S. K. ; Xiang, Y. ; Lim, C. W. et al. / Higher-order approximate solutions for nonlinear vibration of a constant-tension string. In: Journal of Sound and Vibration. 2008 ; Vol. 317, No. 3-5. pp. 440-448.