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| Content Provider | Springer Nature Link |
|---|---|
| Author | Zhang, JunHua Zhang, Wei |
| Copyright Year | 2012 |
| Abstract | By using an extended Melnikov method on multi-degree-of-freedom Hamiltonian systems with perturbations, the global bifurcations and chaotic dynamics are investigated for a parametrically excited, simply supported rectangular buckled thin plate. The formulas of the rectangular buckled thin plate are derived by using the von Karman type equation. The two cases of the buckling for the rectangular thin plate are considered. With the aid of Galerkin’s approach, a two-degree-of-freedom non-autonomous nonlinear system is obtained for the non-autonomous rectangular buckled thin plate. The high-dimensional Melnikov method developed by Yagasaki is directly employed to the non-autonomous ordinary differential equation of motion to analyze the global bifurcations and chaotic dynamics of the rectangular buckled thin plate. Numerical method is used to find the chaotic responses of the non-autonomous rectangular buckled thin plate. The results obtained here indicate that the chaotic motions can occur in the parametrically excited, simply supported rectangular buckled thin plate. |
| Starting Page | 1679 |
| Ending Page | 1690 |
| Page Count | 12 |
| File Format | |
| ISSN | 16747348 |
| Journal | Science in China Series G |
| Volume Number | 55 |
| Issue Number | 9 |
| e-ISSN | 18691927 |
| Language | English |
| Publisher | SP Science China Press |
| Publisher Date | 2012-07-21 |
| Publisher Place | Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | extended high-dimensional Melnikov method rectangular buckled thin plate non-autonomous nonlinear system chaotic motions Classical Continuum Physics Physics Astronomy, Observations and Techniques |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy |
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