Affiliation:
1. e-mail: ,
2. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031,China
Abstract
The stochastic behavior of a two-dimensional nonlinear panel subjected to subsonic flow with random pressure fluctuations and an external forcing is studied in this paper. The total aerodynamic pressure is considered as the sum of two parts, one given by the random pressure fluctuations on the panel in the absence of any panel motion, and the other due to the panel motion itself. The random pressure fluctuations are idealized as a zero mean Brownian motion. Galerkin method is used to transform the governing partial differential equation to a series of ordinary differential equations. The closed moment equations are obtained by the Itô differential rule and Gauss truncation. The stability and complex responses of the moment equations are presented in theoretical and numerical analysis. Results show that a bifurcation of fixed points occurs and the bifurcation point is determined as functions of noise spectral density, dynamic pressure, and panel structure parameters; the chaotic response regions and periodic response regions appear alternately in parameter spaces, the periodic responses trajectories change rhythmically, and the route from periodic responses to chaos is via doubling-period bifurcation. The treatment suggested in this paper can also be extended for the other fluid-structure dynamic systems.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference31 articles.
1. Aerodynamics of High-Speed Trains;Ann. Rev. Fluid. Mech.,2001
2. A Train for the 21st Century;Rail Int.,1994
3. Aerodynamics of High-Speed Railway Trains;Prog. Aerosp. Sci.,2002
4. Resistance to Forward Movement of TGV-PSE Trainsets: Evaluation of Studies and Results of Measurements;French Railw. Rev.,1983
5. Melnikov's Method for Chaos of a Two-Dimensional Thin Panel in Subsonic Flow With External Excitation;Mech. Res. Commun.,2011
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