Solutions of a quadratic nonlinear oscillator: Iteration procedure
β Scribed by H. Hu
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 142 KB
- Volume
- 298
- Category
- Article
- ISSN
- 0022-460X
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π SIMILAR VOLUMES
A modified iteration procedure is applied to nonlinear oscillations with fractional powers. With the procedure, the excellent approximate frequencies and the corresponding periodic solutions can be easily obtained.
Based on the Mickens procedure, a new iteration scheme is proposed for nonlinear oscillators. Different from the existing Mickens procedures, in the proposed procedure, the algebraic equation governing the frequency of oscillation deduced at each iteration stage is always linear. Taking the Duffing
A classical iteration procedure is applied to nonlinear oscillations of conservative single-degree-of-freedom systems with odd nonlinearity. With the procedure, the analytical approximate frequency and the corresponding periodic solution, valid for small as well as large amplitudes of oscillation, c