Abstract In this work we carry out a numerical study of the influence of the upstream Mach number on the flutter of a three-dimensional, cantilevered, flexible plate subject to a subsonic, inviscid, open flow. We have assumed a linear elastic model for the plate and that the fluid flow is governed by the linearized potential theory. The fluid equations are solved by means of a doublet point method to obtain the generalized aerodynamic forces as a function of the plate displacements. Then, these generalized forces are coupled to the equation of motion of the plate, which is discretized with a spectral Galerkin method, and an eigenvalue analysis is performed to find the flutter point. The obtained results are in good agreement with those of related theoretical and experimental studies found in the literature.

中文翻译：

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无粘性、亚音速、开放流中可压缩性对三维悬臂板颤振影响的数值研究

摘要 在这项工作中，我们对上游马赫数对 3 维、悬臂、柔性板在亚音速、无粘性、开放流动下的颤振的影响进行了数值研究。我们已经假设了板的线性弹性模型，并且流体流动受线性化势理论的支配。流体方程通过双点法求解，以获得作为板位移函数的广义空气动力。然后，将这些广义力耦合到用谱伽辽金方法离散化的板运动方程中，并进行特征值分析以找到颤振点。所得结果与文献中相关理论和实验研究的结果吻合良好。