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Frequency Domain Method for Flutter Analysis of Curved Panels under Yawed Supersonic Flow at Elevated Temperature

机译:升高温度下拉长超声波流量振动面板颤动分析的频域方法

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A finite element frequency domain method is developed and presented to predict the pre-flutter behavior and the flutter onset of curved panels subjected simultaneously to aerodynamic and thermal loading. The Marguerre plate theory, the von Karman large deflection theory, the quasi-steady first-order piston theory and Quasi-static thermoelasticity are used in the formulation. The principle of virtual work is applied to develop the equations of motion of the fluttering system in structural degrees of freedom. The Newton-Raphson method is used to determine the panel deflection under the Static Thermo-Aerodynamic Loading (STAL), and the Eigen-value solution is employed for the prediction of flutter critical dynamic pressure for curved panels of different height-rises. Flutter coalescence frequencies, and damping rates of the fluttering curved system are thoroughly investigated for 3D curved panels under increasing dynamic pressure and uniform or linearly varying temperature gradient loading. Critical buckling temperatures are found out for 3D flat plates of same geometry except the curvature, and used to define non-dimensionalized thermal loading. The results showed that the flutter dynamic behaviors alter significantly when temperature effects come into the picture.
机译:开发有限元频域方法,以预测与空气动力学和热负荷同时发置的弯曲面板的预颤振行为和颤动发作。 Marguerre板理论,von Karman大偏转理论,准稳态一阶活塞理论和准静态热弹性在配方中使用。应用虚拟工作原理,用于在结构自由度方面开发翼状系统的运动方程。 Newton-Raphson方法用于确定静态热空气动力学负载(STAL)下的面板偏转,并且采用特征值解决方案用于预测不同高度升高的弯曲面板的颤动临界动态压力。在增加动态压力和均匀或线性变化的温度梯度负荷下,透颤的聚结频率和振动弯曲系统的阻尼速率被彻底地研究了3D弯曲板。除了曲率之外的相同几何形状的3D扁平板发现关键屈曲温度,并用于定义非尺寸化热负荷。结果表明,当温度效应进入图像时,颤动动态行为的变化显着改变。

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