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| Nonlinear flutter analysis of panel with thermal effect |
| Received:July 11, 2007 |
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| DOI：10.7511/jslx20095012 |
| KeyWord:panel thermal flutter limit cycle chaos |
| Author | Institution |
| 叶献辉 |
西南交通大学 力学与工程学院,成都 |
| 杨翊仁 |
西南交通大学 力学与工程学院,成都 |
| 范晨光 |
西南交通大学 力学与工程学院,成都 |
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| Abstract: |
| Based on the first-piston theory of supersonic aerodynamics, the flutter differential equation of a panel with the thermal effect is established by using the Von Karman large deformation strain-displacement relation. The Galerkin approach is applied to simplify the equations into the discrete forms. Using temperature as bifurcation parameter, its bifurcation and chaos behavior was studied. The calculated results indicate that the critical dynamic pressure acting on the panel is reduced and the response characteristic of the flutter is changed by the temperature loads. In all the range of bifurcation parameters, complex changes are presented, including four types of vibration behaviors: decay, limit-cycle, quasi-periodic and chaotic motions. When the thermal effect of material is considered, the critical dynamic pressure of the panel is further reduced and the more complex dynamic behaviors of the flutter system are observed. |
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