An accurate relationship between frequency and amplitude to nonlinear oscillations

Autor:	M. K. Yazdi
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Analytical approximate solution nonlinear oscillation frequency–amplitude relation global error minimization weighting function Science (General) Q1-390
Zdroj:	Journal of Taibah University for Science, Vol 12, Iss 5, Pp 532-535 (2018)
Druh dokumentu:	article
ISSN:	1658-3655 16583655
DOI:	10.1080/16583655.2018.1498290
Popis:	A weighted global error minimization (WGEM) is proposed in this study. The goal is to improve the accuracy of the global error minimization (GEM) based on a weighting function. In addition to the first-order approximation, the fourth-order approximation for the Duffing oscillator is demonstrated by coupling a proper weighting function with the GEM. In order to exhibit the advantage of this modification, the obtained result is compared with both the exact frequency and the outcome of the GEM. The corollary outstandingly reveals that approximations using the WGEM have a lower relative error than those from the GEM in the first-order approximation. Also the modified approach can preserve its accuracy in the fourth-order approximation. The WGEM can be promisingly utilized to other resembling nonlinear problems.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1653929d8dc343c08bde1174c4a5a2d2 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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