刘文, 张陈安, 王发民. 乘波体荷兰滚模态特性研究[J]. 空气动力学学报, 2017, 35(3): 444-453. DOI: 10.7638/kqdlxxb-2017.0024
引用本文: 刘文, 张陈安, 王发民. 乘波体荷兰滚模态特性研究[J]. 空气动力学学报, 2017, 35(3): 444-453. DOI: 10.7638/kqdlxxb-2017.0024
Liu Wen, Zhang Chen'an, Wang Famin. Study on characteristics of Dutch roll mode for hypersonic waverider[J]. ACTA AERODYNAMICA SINICA, 2017, 35(3): 444-453. DOI: 10.7638/kqdlxxb-2017.0024
Citation: Liu Wen, Zhang Chen'an, Wang Famin. Study on characteristics of Dutch roll mode for hypersonic waverider[J]. ACTA AERODYNAMICA SINICA, 2017, 35(3): 444-453. DOI: 10.7638/kqdlxxb-2017.0024

乘波体荷兰滚模态特性研究

Study on characteristics of Dutch roll mode for hypersonic waverider

  • 摘要: 乘波体非轴对称、扁平、大长细比的几何外形特点决定了其存在严重的横航向耦合动稳定性问题。目前对乘波体横航向稳定性的研究还相对较少,且一般只针对单一外形,对飞行器设计未能获得有指导意义的定性、定量结论。以幂次乘波体为研究对象,首先引入设计参数kwφ描述其外形特点,然后结合CFD数值模拟和Kriging代理模型,获得了整个设计参数空间内乘波体的静/动导数,进而通过求解飞行动力学耦合方程特征根获得乘波体的横航向耦合动稳定荷兰滚模态特性。定义了荷兰滚动稳定性导数的概念,推导了荷兰滚阻尼近似表达式,解释了不同攻角下荷兰滚模态发散/收敛的成因,获得了荷兰滚阻尼随设计参数和攻角的分布规律。推导了荷兰滚频率近似表达式,获得了荷兰滚频率随设计参数和攻角的分布规律。

     

    Abstract: A waverider aircraft faces the problem regarding lateral-directional coupled dynamic stability due to its non-axisymmetric, flat and slender geometry. The study of the lateral-directional stability of a waverider is relatively limited in the current literature, and instructive conclusions can hardly be found. To investigate the lateral-directional stability, a power-law waverider was taken as the objective, whose Dutch roll mode characteristic was studied in detail. First, the design parameters kw and φ were introduced to describe the geometry of the waverider. The static and dynamic derivatives of the waverider for the whole design parameter space were computed by using CFD and Kriging surrogate model. Then, the characteristics of the Dutch roll mode were obtained according to the solution of linearized small-disturbance equations for lateral-directional motions. An approximate expression was derived for the damping of the Dutch roll mode. A new concept of dynamic stability derivative of the Dutch roll mode was defined. The reason for the divergence or convergence of the Dutch roll mode was analyzed with the help of the approximate expression. The distribution of the damping was obtained at different angles of attack. For the frequency of the Dutch roll mode, an approximate expression was derived, and the variation of the frequency was also analyzed followed by the changing design parameters and angles of attack.

     

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