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Aerodynamic damping derivatives of low aspect ratio wings at low Reynolds numbers

机译:低雷诺数下低纵横比机翼的空气动力学阻尼导数

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This paper focuses on experimentally measuring the aerodynamic damping stability derivatives of a harmonically oscillating low aspect ratio (LAR) wing at a Reynolds number of 7.5 × 1~ 4. Recent publications by the authors have demonstrated that the developing tip vortex asymmetry for an LAR wing in sideslip leads to a significant roll moment despite the lack of dihedral, sweep, fuselage interference or vertical tail surfaces, indicating that aerodynamic lateral damping may exist for pure flat plate wings. To date, the dearth of experimental data for LAR damping derivatives has prevented the formation of a dynamic model to be used in solving the equations of motion; to address this, a forced oscillation technique is implemented, described and validated for a wing with an aspect ratio of unity. Damping in yaw and pitch are reported for a variety of incidence angles (α and β) and frequencies of motion (f = [ .5,1,1.5, , 1.5 and ]Hz); damping of normal force in pitch (C_(NF,q)) is found to be the most significant derivative by at least an order of magnitude. The damping derivatives converge to near-constant values at mid to high range frequencies for all incidence angles, suggesting that constant values of the derivatives may potentially be implemented in linearized forms of the equations of motion during flight dynamics simulations.
机译:本文着重于实验测量雷诺数为7.5×1〜4的谐波振荡低长宽比(LAR)机翼的空气动力学阻尼稳定性导数。作者的最新出版物证明了LAR机翼发展中的尖端涡旋不对称性尽管没有二面角,后掠角,机身干扰或垂直尾翼表面,但侧滑中的失稳会导致明显的侧倾力矩,这表明纯平板机翼可能存在空气动力学的侧向阻尼。迄今为止,由于缺乏LAR阻尼导数的实验数据,因此无法形成用于求解运动方程的动力学模型。为了解决这个问题,对于具有长宽比为1的机翼实施,描述和验证了强制振荡技术。报告了各种入射角(α和β)和运动频率(f = [.5,1,1.5 ,,, 1.5和] Hz)的偏航和俯仰阻尼。发现在螺距(C_(NF,q))中的法向力阻尼至少在一个数量级上是最重要的导数。在所有入射角的中高频范围内,阻尼导数都收敛到接近恒定的值,这表明在飞行动力学仿真过程中,导数的恒定值可能会以运动方程的线性化形式实现。

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