掠飞末敏弹耦合运动动导数计算

以新型掠飞末敏弹为研究对象，提出了基于欧拉转动定理和滑移网格技术的复杂角运动模拟方法，利用著名的罗德里格斯转换矩阵插值求得弹箭在每个时间步的角速度修正值，并指定给球形滑移网格区。通过对非定常气动参数进行求解辨识，分析了不同马赫数下掠飞末敏弹滚转运动对其俯仰组合动导数和升力系数动导数的影响规律。结果表明：所提角运动模拟方法可有效消除姿态角计算的累积误差，实现对弹箭任意给定角运动的准确模拟；弹箭滚转运动对俯仰组合导数和升力系数动导数的辨识结果均存在显著影响，在进行弹箭动导数计算和稳定性分析时需充分考虑俯仰耦合效应的影响。
A novel swept flight terminal sensitive projectile was taken as a computation object, and the method to deal with simulation of the complex angular motion based on the Euler rotation theorem and a spherical sliding meshing technique was proposed. The modification value of the projectile′s angular velocity at each time step was interpolated out through applying the Rodriguez transformation matrix, and it was further allocated to the sliding meshing zone. Based on the method, the influences on pitching combination dynamic derivatives and lift coefficients under various Mach numbers made by the projectile′s rolling motion were analyzed after solving and identifying the unsteady aerodynamic parameters. Results indicate that: the proposed method can eliminate the accumulative errors in the calculation of attitude angles effectively and can realize the accurate simulation under arbitrary given angular motion; the projectile′s rolling motion generate significant influences on the identification results of pitching combination dynamic derivatives and lift coefficients, and the influence of the pitching coupled effect should be taken into account in the process of calculating the projectile′s pitching motion and stability analysis.