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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。
In order to simplify the method of designing the supplementary surface of the curve in the airport taxiing area, a differential equation is established according to the turning round of the landing gear tire of taxiing aircraft. The taxiway trajectory is divided into three parts: the nose wheel travels on the circular curve and the nose wheel enters the straight line The analytical solution of the inner edge of the supplementary surface is obtained. The relative longitudinal distance, the position coefficient and the supplementary width coefficient that characterizes the widening of the surface of the curved surface are introduced. The characteristics of the supplementary surface of the curved surface are analyzed. The similarity of the complementary width coefficient between the road corner and the relative longitudinal distance gives the modified formula of the supplementary width coefficient on the circular curve and the formula of the initial angle between the longitudinal axis of the straight line and the straight line at the beginning of the straight line segment. The solution of the surface design of the airport taxiway taxiing surface is proposed by using the solution of the differential equation of the inboard edge line, and compared with the ICAO method. The calculation results show that when the curve angle is 135 °, the radius is 45m, the maximum wheelbase of the aircraft is 25m and the width of the main landing gear is 13m, the maximum widening of supplementary surface calculated by the new method is 7.52m, calculated by the ICAO method The maximum width of the supplementary surface is 7.53m, the difference between the two is less than 0.2%. Using the new method, the coordinates of any point on the inner edge of the supplementary surface of the curved surface can be calculated simply by determining the boundary of the curved corner. However, Therefore, the coordinate of the inner edge point of a supplementary surface can be determined only after the entire inner surface of the supplementary surface is calculated. Therefore, the new method not only meets the requirements of accuracy and safety but also has a simple calculation process and is easy to use.