New design method of supplemented surface for airport turnoff taxiway
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摘要: 为了简化机场滑行区弯道增补面设计方法, 依据飞机滑行时起落架轮胎的转弯轮迹, 建立相应的微分方程, 并将飞机滑行轨迹分为鼻轮在圆曲线上行驶和鼻轮驶入直线2段进行求解, 得到了增补面内缘线的解析解; 引入相对纵距、位置系数和表征转弯道面增补面加宽量的增补宽度系数, 分析了转弯道面增补面特征, 基于不同弯道转角与相对纵距下增补宽度系数的相似性, 给出了圆曲线上增补宽度系数的回归方程与直线段开始时飞机纵轴与驶出直线初始夹角的修正式; 结合圆曲线上增补面内缘线的微分方程解提出了机场转弯滑行道增补面设计新方法, 并与ICAO方法进行了对比。计算结果表明: 当弯道转角为135°, 半径为45m, 飞机最大轴距为25m, 主起落架宽度为13m时, 采用新方法计算的最大增补面加宽量为7.52m, 采用ICAO方法计算的最大增补面加宽量为7.53m, 两者差别小于0.2%;采用新方法只需确定弯道的分界点, 便可计算出弯道增补面内缘线任一点的坐标, 但是采用ICAO方法必须求出整个增补面内缘线后才能确定某一增补面内缘点的坐标, 因此, 新方法不仅计算结果满足精度和安全性要求, 而且计算过程简单, 使用方便。Abstract: In order to simplify the design methods of supplemented surface bend on airport, the corresponding differential equation was established based on the turning track of landing gear tire when the plane glided on the runway, the gliding track was divided into two stages to solve the equation: nose wheel driving on the circular curve and nose wheel entering the straight section, and the analytical solution was obtained.The properties of supplemented surface for turning pavement were analyzed by introducing longitudinal space, position coefficient and supplemented width coefficient representing the widening value of supplemented surface for turning pavement.Based on the similarity of fillets width coefficients on different relative longitudinal distances and corner angles, the regression equation of fillets width coefficient was calculated, and the correctional formula of the angle between aircraft and exit line at the beginning of nose wheel entering the straight section was obtained.The new design method of supplemented surface for turning runway was put forward based on the differential equation solution of inner edge of supplemented surface on the circular curve, and was compared with ICAO method.Computationresult shows that when the turning angle is 135°, the curve radius is 45 m, the maximum wheelbase of plane is 25 m, and the width of main landing gear is 13 m, the adding width of supplemented surface calculated by using the new design method is 7.52 m, the value calculated by using ICAO method is 7.53 m, and the difference is less than 0.2%.When the cutoff point of curve is determined, any point coordinates of inner edge line of supplemented surface can be computed by using the new design method, while the inner edge line of supplemented surface must be determined in order to compute any point coordinates by using ICAO method.So, the calculated result of new method meets the precision and safety requirements, the calculation process is simple, and the use is easy.
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表 1 安全距离
Table 1. Safe distances
表 2 增补面内缘线计算结果
Table 2. Calculation result of inside edge line for supplemented surface
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