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Aeroelastic stability analysis of high aspect ratio aircraft wings

机译:高长宽比飞机机翼的气动弹性稳定性分析

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摘要

Free vibration and flutter analyses of two types of high aspect ratio aircraft wings are presented. The wing is idealised as an assembly of bending-torsion coupled beams using the dynamic stiffness method leading to a nonlinear eigenvalue problem. This problem is solved using the Wattrick-Williams algorithm yielding natural frequencies and mode shapes. The flutter analysis is carried out using the normal mode method in conjunction with generalised coordinates and two-dimensional unsteady aerodynamic theory of Theodorsen. This is essentially a complex eigenvalue problem in terms of both air-speed and frequency. The flutter determinant is solved by an iterative procedure covering a wide range of air-speeds and frequencies. The computed natural frequencies, mode shapes, flutter speeds and flutter frequencies are compared and contrasted for the two type of aircraft wings and some conclusions are drawn.
机译:提出了两种高长宽比飞机机翼的自由振动和颤振分析。使用动态刚度方法将机翼理想化为弯扭耦合梁的组件,从而导致非线性特征值问题。使用Wattrick-Williams算法可解决此问题,该算法可产生固有频率和振型。颤振分析是使用法向模式方法结合Theodorsen的广义坐标和二维非定常空气动力学理论进行的。就空速和频率而言,这本质上是一个复杂的特征值问题。颤振决定因素是通过覆盖广泛的空速和频率的迭代过程来解决的。比较和对比了两种飞机机翼的计算出的固有频率,振型,颤振速度和颤振频率,并得出了一些结论。

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