Abstract The generalized aerodynamic force (GAF) matrix is derived for the Unsteady Vortex Lattice Method (UVLM) without the assumption of out-of-plane dynamics. As a result, the approach naturally includes in-plane motion and forces unlike the doublet lattice method (DLM). The derived UVLM GAF is therefore applicable to industry-standard techniques for aeroelastic stability analyses, such as the p–k method. In this work, the fluid–structure interpolation is performed with radial basis functions for surface interpolation. The generalized aerodynamic forces computed with the UVLM are verified against the DLM from NASTRAN on a simple flat plate configuration. The ability of the UVLM to include steady loads is verified with a T-tail flutter case and the results confirm the importance of including steady loads for T-tail flutter analysis. The modal frequency domain VLM therefore provides the same level of efficiency and accuracy than the DLM, but without the restrictions and with the ability to handle complex geometries. It is therefore a viable replacement to the DLM.

中文翻译：

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用于气动弹性分析的通用模态频域涡格法

摘要 在不考虑平面外动力学的情况下，推导了非定常涡旋点阵法 (UVLM) 的广义气动力 (GAF) 矩阵。因此，与双点阵法 (DLM) 不同，该方法自然包括面内运动和力。因此，导出的 UVLM GAF 适用于气动弹性稳定性分析的行业标准技术，例如 p-k 方法。在这项工作中，流固性插值使用径向基函数进行表面插值。使用 UVLM 计算的广义空气动力在简单的平板配置上根据 NASTRAN 的 DLM 进行验证。UVLM 包含稳定载荷的能力通过 T 尾颤振案例验证，结果证实了在 T 尾颤振分析中包含稳定载荷的重要性。因此，模态频域 VLM 提供了与 DLM 相同水平的效率和精度，但没有限制并且能够处理复杂的几何形状。因此，它是 DLM 的可行替代品。