Theoretical Aerodynamic Properties of Vanishing Aspect Ratio Harmonically Oscillating Rigid Airfoils in a Compressible Medium
Theoretical Aerodynamic Properties of Vanishing Aspect Ratio Harmonically Oscillating Rigid Airfoils in a Compressible Medium
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可压缩介质中消失展弦比简谐振动刚性翼型的理论气动特性
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发表时间：
1956
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影响因子：
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通讯作者：
B. Mazelsky
中科院分区：
文献类型：
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作者：
B. Mazelsky
本文用Mathieu函数表给出了可压缩介质中展弦比为零的刚性简谐振荡翼型在整个约化频率范围内的气动特性的理论解。当流动是可压缩的时，在定义振荡系数时引入的重要变量是单个实体，kQM和马赫数变化仅通过这个量进入。对于矩形和三角形平面形状，数值系数被制成表格，用于计算升力、俯仰和滚转力矩的表达式。基于可压缩和不可压缩流的振荡系数的比较表明，对于适用于颤振的约化频率范围，可压缩性的影响可以被认为是可以忽略的。
Theoretical solutions are given in terms of tabulated Mathieu functions for the aerodynamic properties of rigid vanishing aspect ratio harmonically oscillating airfoils in a compressible medium for the complete range of reduced frequencies. The significant variable introduced in defining the oscillatory coefficients when the flow is compressible is the single entity, kQM, and Mach Number variations enter only through this quantity. Numerical coefficients are tabulated for use in evaluating the expressions for lift, pitching, and rolling moment for the rectangular and triangular plan forms. Comparisons of the oscillatory coefficients based on compressible and incompressible flow indicate that, for the range of reduced frequencies applicable for flutter, the effects of compressibility can be considered negligible.