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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Wen Jianmin You Bindi Han Xinzhi Li Yumeng |
| Copyright Year | 2013 |
| Description | Author affiliation: Sch. of Naval Archit. & Ocean Eng., Harbin Inst. of Technol., Weihai, China (Wen Jianmin; You Bindi; Han Xinzhi; Li Yumeng) |
| Abstract | An analytical technique, namely the homotopy analysis method (HAM), is applied to solve periodic solutions for free oscillations with strongly odd nonlinearities of 5 degree polynomials. Unlike perturbation methods such as the method of multiple scales which must depend on a small parameter, HAM does not depend on any small physical parameters at all. Thus, it is valid for both weakly and strongly nonlinear problems. Besides, different from all other analytic techniques, the HAM provides us a simple way to adjust and control the convergence region of the series solution by means of an auxiliary parameter h . In this paper, periodic analytic approximations for free oscillations with odd nonlinearities of degree 5 polynomials are obtained by using the HAM for the first time, which agree well with numerical results. This article shows that the HAM is a powerful and effective technique for nonlinear dynamical systems. |
| Starting Page | 918 |
| Ending Page | 922 |
| File Size | 256425 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781467347075 |
| ISSN | 19483449 |
| e-ISBN | 9781467347082 |
| DOI | 10.1109/ICCA.2013.6565135 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2013-06-12 |
| Publisher Place | China |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Oscillators Perturbation methods Fluids Convergence Polynomials |
| Content Type | Text |
| Resource Type | Article |
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