Abstract The dynamically-coupled interactions of vortex gusts encountering a symmetric Joukowski airfoil on linear elastic supports is formulated analytically and evaluated numerically using a time-dependent conformal mapping. The Brown and Michael framework models the unsteady shedding of vorticity from the airfoil into the wake, and the aeroelastic motion of the airfoil is analyzed using quasi-steady, apparent mass, and fully-unsteady aerodynamic models. Special attention is paid to the influences of the strength of the incident vortex and the airfoil natural frequency on the initial upstream placement of a vortex gust that achieves direct impingement. These results are weakly sensitive to the initial vortex position in the limits of either large or small structural natural frequency, and the initial vertical vortex position to achieve impingement changes monotonically with the vortex strength. A comparison of the numerical model with available experimental vortex gust measurements over stationary airfoils highlights the appropriate use of the point-vortex model for inviscid vortex–airfoil interaction problems without significant vortex strength decay, which occurs for predominantly viscous interactions of close vortex–airfoil encounters.

中文翻译：

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冲击 Joukowski 翼型的涡流阵风的气动弹性相互作用和轨迹选择

摘要 涡旋阵风在线性弹性支撑上遇到对称 Joukowski 翼型的动态耦合相互作用被分析制定并使用时间相关的保角映射进行数值评估。Brown 和 Michael 框架模拟了从翼型到尾流的涡量的非稳态脱落，并使用准稳态、表观质量和完全非稳态空气动力学模型分析了翼型的气动弹性运动。特别注意入射涡流的强度和翼型固有频率对实现直接撞击的涡流阵风的初始上游位置的影响。这些结果在大或小结构固有频率的限制下对初始涡旋位置的敏感度较弱，实现撞击的初始垂直涡流位置随涡流强度单调变化。数值模型与固定翼型上可用的实验涡阵阵风测量值的比较突出了点涡模型的适当使用，用于无粘性涡-翼型相互作用问题，而没有显着的涡流强度衰减，主要发生在近距离涡-翼型相遇的粘性相互作用.