Computational method of engine thrust in aircraft take-off track calculation
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摘要: 为了确定飞机起飞航迹, 应用数值计算理论, 提出了发动机瞬时推力的计算方法, 以发动机推力曲线已知推力为基础, 通过拉格朗日插值确定未知推力。基于计算的发动机瞬时推力, 计算了起飞航迹, 并与实测航迹进行了比较。计算结果表明: 飞机1的实测拟合航迹与程序计算航迹的最大绝对误差不超过10 m, 最大相对误差不超过3.9%;飞机2的实测拟合航迹与程序计算航迹的最大绝对误差不超过35 m, 最大相对误差不超过8.3%, 计算方法可靠。Abstract: In order to confirm aircraft take-off track, a computational method of engine instantaneous thrust was put forward by using numerical calculation theory.Based on certain engine instantaneous thrusts and thrust curve, the unknown thrusts were calculated by Lagrange interpolation.Two certain aircrafts' take-off tracks were computed when their engine instantaneous thrusts were calculated by the algorithm, and a comparison between computation tracks and actual flight test fitted tracks was made.Comparison result shows that the maximum absolute error of aircraft 1 is not more than 10 m, and the one of aircraft 2 is not more than 35 m.The maximum relative error of aircraft 1 is not more than 3.9%, and the one of aircraft 2 is not more than 8.3%.The result indicates that the algorithm is precise and feasible.
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表 1 飞机1发动机推力插值节点
Table 1. Interpolation nodes of engine thrusts for aircraft 1
表 2 飞机2发动机推力插值节点
Table 2. Interpolation nodes of engine thrusts for aircraft 2
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