Influence of Concentrated Elastic Support on Flutter Characteristic of Curved Panels

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Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (18) : 1-6.

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Influence of Concentrated Elastic Support on Flutter Characteristic of Curved Panels

Zhang Feiting, Yang Zhichun, Gao Yang, Zhao Lingcheng

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Abstract

A method for increasing the flutter dynamic pressure of curved panels with a concentrated elastic support is proposed and the effect of concentrated elastic support position and stiffness on curved panels is studied. The nonlinear aeroelastic model of curved panel with a concentrated elastic support in supersonic air flow is established using the virtual work principle and the finite element method. The large deformation of curved panel is described by using the von Karman large deformation strain-displacement relationship. The quasi-steady first order piston theory is used to calculate the aerodynamic force on the surface of curved panel. The eigenvalue solution is then utilized to determine the flutter dynamic pressure of the curved panel. The characteristics of curved panel were analyzed by changing the stiffness and position of concentrated elastic support based on frequency coalescence theory. Results show that the elastic support located in different positions will have significantly different effects to the flutter dynamic pressure. The elastic support located in the central region of the curved panel or in the chordwise middle line will lead a drop of the flutter dynamic pressure, and the flutter dynamic pressure will decrease as the elastic support stiffness increase. If the elastic support located in the center of the curved panel, the flutter dynamic pressure will drop drastically to the maximum. When the elastic support position changes along the line perpendicular to the flow stream and away from the chordwise middle line, it will lead an increasing of the flutter dynamic pressure, and the flutter dynamic pressure will increase with the increasing of elastic support stiffness. While the elastic support changes in the area near leading edge and trailing edge along the flow stream, the flutter dynamic pressure will be increased. The results also demonstrated that the method of adding a concentrated elastic support to increase flutter dynamic pressure can be applied as a measure to control the flutter of curved panel, and the elastic support should be located on the spanwise midline with a distance of approximately 20% chord length.

Key words

panel flutter / concentrated elastic support / eigenvalue method / finite element method / frequency coalescence

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Zhang Feiting;Yang Zhichun;Gao Yang;Zhao Lingcheng. Influence of Concentrated Elastic Support on Flutter Characteristic of Curved Panels[J]. Journal of Vibration and Shock, 2014, 33(18): 1-6