Analysis of a nonlinear oscillator with discontinuity
β Scribed by D.Q. Zeng; Y.Y Lee; C.K. Wong
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 744 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
In this paper, a nonlinear oscillator with discontinuity is analyzed using He's amplitude-frequency formulation. The natural frequency of the oscillator system can be obtained using concise and straightforward calculation steps. Good agreement between the results from the proposed and other classical approaches is reached.
π SIMILAR VOLUMES
In this paper, He's amplitude-frequency formulation is used to obtain a periodic solution of a nonlinear oscillator with discontinuity. The accuracy arrives at 0.73% even when the amplitude tends to infinity.
In this paper, He's variational approach is applied to the nonlinear oscillators with discontinuities. We conclude that the method is very effective, accurate and convenient. Moreover, the approximate solutions obtained are uniformly valid for both small parameters and large parameters.
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 lead