Frequency analysis of nonlinear oscillations via the global error minimization
| Autor: | M. Kalami Yazdi, P. Hosseini Tehrani |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Frequency analysis Computer Networks and Communications global error minimization General Chemical Engineering General Engineering 02 engineering and technology frequency–amplitude relation Engineering (General). Civil engineering (General) analytical approximate solution 01 natural sciences 010305 fluids & plasmas law.invention 020303 mechanical engineering & transports 0203 mechanical engineering law Control theory nonlinear oscillation Modeling and Simulation 0103 physical sciences Minification TA1-2040 Nonlinear Oscillations Global error |
| Zdroj: | Nonlinear Engineering, Vol 5, Iss 2, Pp 87-92 (2016) |
| ISSN: | 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: | OpenAIRE |
| Externí odkaz: |
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