Frequency analysis of nonlinear oscillations via the global error minimization

Autor:	Kalami Yazdi M, Hosseini Tehrani P
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	analytical approximate solution nonlinear oscillation frequency–amplitude relation global error minimization Engineering (General). Civil engineering (General) TA1-2040
Zdroj:	Nonlinear Engineering, Vol 5, Iss 2, Pp 87-92 (2016)
Druh dokumentu:	article
ISSN:	2192-8010 2192-8029
DOI:	10.1515/nleng-2015-0036
Popis:	The capacity and effectiveness of a modified variational approach, namely global error minimization (GEM) is illustrated in this study. For this purpose, the free oscillations of a rod rocking on a cylindrical surface and the Duffing-harmonic oscillator are treated. In order to validate and exhibit the merit of the method, the obtained result is compared with both of the exact frequency and the outcome of other well-known analytical methods. The corollary reveals that the first order approximation leads to an acceptable relative error, specially for large initial conditions. The procedure can be promisingly exerted to the conservative nonlinear problems.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/2e912fbf45be4a4d983a9a214b46b88a Zobrazit plný text záznamu View record in DOAJ