Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire

W. P. Sun; B. S. Wu; C. W. Lim

doi:10.1016/j.jsv.2006.08.025

Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire

W. P. Sun, B. S. Wu, C. W. Lim

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

58 Citations (Scopus)

Abstract

Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire are presented. The approximation is based on combining Newton's method with the harmonic balance method. One iteration step can provide very accurate analytical approximate solutions for both small and large values of oscillation amplitude and parameter. © 2006 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	1042-1047
Journal	Journal of Sound and Vibration
Volume	300
Issue number	3-5
DOIs	https://doi.org/10.1016/j.jsv.2006.08.025
Publication status	Published - 6 Mar 2007

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title = "Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire",

abstract = "Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire are presented. The approximation is based on combining Newton's method with the harmonic balance method. One iteration step can provide very accurate analytical approximate solutions for both small and large values of oscillation amplitude and parameter. {\textcopyright} 2006 Elsevier Ltd. All rights reserved.",

author = "Sun, {W. P.} and Wu, {B. S.} and Lim, {C. W.}",

year = "2007",

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T1 - Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire

AU - Sun, W. P.

AU - Wu, B. S.

AU - Lim, C. W.

PY - 2007/3/6

Y1 - 2007/3/6

N2 - Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire are presented. The approximation is based on combining Newton's method with the harmonic balance method. One iteration step can provide very accurate analytical approximate solutions for both small and large values of oscillation amplitude and parameter. © 2006 Elsevier Ltd. All rights reserved.

AB - Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire are presented. The approximation is based on combining Newton's method with the harmonic balance method. One iteration step can provide very accurate analytical approximate solutions for both small and large values of oscillation amplitude and parameter. © 2006 Elsevier Ltd. All rights reserved.

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-33845901516&origin=recordpage

U2 - 10.1016/j.jsv.2006.08.025

DO - 10.1016/j.jsv.2006.08.025

M3 - RGC 21 - Publication in refereed journal

SN - 0022-460X

VL - 300

SP - 1042

EP - 1047

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 3-5

ER -

Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire

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