A 2D Flutter Equation Transformation Using Chebyshev Expansion Method

摘要

The classical two-dimensional airfoil flutter equations can be established by many ways. For the simplicity of solving it, a sinusoidal structure motion hypothesis and some kind of aerodynamic theory must be proposed in advance. However, when a wing flutter occurs, its structural movement is likely to be more complex. Furthermore, the well-known harmonic balance method may not sufficiently accurate due to those higher order terms are ignored, which might lead to larger errors. In this paper, we propose a parametric method such that the original equations are parameterized, namely Chebyshev expansion method. A simple example is used to illustrate our strategy.