Diagnosis of Nonlinear Oscillatory Behavior of a Fluttering Plate with a Periodicity Ratio Approach

[摘要] This research focuses on diagnosing the nonlinear dynamic responses of a fluttering plate excited by high-velocity air flow. An approach based on the Periodicity Ratio method is developed such that the characteristics of a nonlinear system subjected to nonperiodic excitations can be diagnosed. The governing equations of the nonlinear dynamic responses of a fluttering plate are derived and solved numerically. Eight modes of motion are used for obtaining accurate results. With the implementation of the present approach, a regular-irregular region diagram is generated for quantitatively analysing and directly visualizing the behavior of the fluttering plate with varying system parameters. Bifurcation of the plate’s motion is analyzed with utilization of the regular-irregular region diagrams. The routes from regular motion to irregular motion are investigated and illustrated. Comparison is made with the diagnosing results available in the literature. The present approach demonstrates the efficiency and accuracy in the characteristic diagnosis for the fluttering plate.

[关键词] fluttering plate;nonlinear oscillation;aerodynamics;Periodicity Ratio;chaos;bifurcation diagram;regular-irregular diagram;nonperiodic excitation;dynamic aeroelasticity