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Complicated response analysis of two-dimensional thin panel in subsonic flow with external excitation |
Received:November 15, 2010 Revised:May 18, 2011 |
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DOI:10.7511/jslx20116009 |
KeyWord:subsonic flow chaos periodic window doubling-period bifurcation intermittency |
Author | Institution |
李鹏 |
西南交通大学 牵引动力国家重点实验室, 成都 |
杨翊仁 |
西南交通大学 力学与工程学院, 成都 |
鲁丽 |
西南交通大学 力学与工程学院, 成都 |
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Abstract: |
The complicated response of two-dimensional thin panels in subsonic flow with external excitation is studied in this paper. The nonlinear governing motion equation is reduced to a series of ordinary differential equations using the Galerkin method. The Runge-Kutta numeric method is used to conduct the numerical simulations. Maximum Lyapunov exponents and Poincaré map are used to judge the motion quality. The results show that with the change of parameters, the system appears complicated response, the periodic windows and chaos occur alternately; the route to chaos is via doubling-period bifurcation but the route from chaos to periodic motion is intermittent. |