The variational iteration method for nonlinear oscillators with discontinuities
In this paper, He's variational iteration method (VIM) is applied to nonlinear oscillators with discontinuities. We illustrate that the VIM is very effective and convenient and does not require linearization or small perturbation. Contrary to the conventional methods, in VIM, only one iteration...
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| Veröffentlicht in: | Journal of sound and vibration 2007-09, Vol.305 (4), p.614-620 |
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| container_title | Journal of sound and vibration |
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| creator | Rafei, M. Ganji, D.D. Daniali, H. Pashaei, H. |
| description | In this paper, He's variational iteration method (VIM) is applied to nonlinear oscillators with discontinuities. We illustrate that the VIM is very effective and convenient and does not require linearization or small perturbation. Contrary to the conventional methods, in VIM, only one iteration leads to high accuracy of the solutions. Moreover, we show that the obtained approximate solutions are valid for the whole solution domain and the approximations are uniformly valid not only for small parameters, but also for very large parameters. |
| doi_str_mv | 10.1016/j.jsv.2007.04.020 |
| format | Article |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Exact sciences and technology Fundamental areas of phenomenology (including applications) Physics Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| title | The variational iteration method for nonlinear oscillators with discontinuities |
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