飞机乘客重量最优布置的一种建模方法

摘要

The center of gravity of the aircraft is very important to the lfight safety, and it also inlfuences the performance of the aircraft considerably. The deifnition of the passenger weight is proposed, and the inlfuence of the longitudinal center of gravity on the lfight performance is analyzed. Through the analysis, the constrains with passenger weight being independent variables and the objective function that the longitudinal center of gravity of al the passengers is close to the aft center of gravity of the aircraft are built up. To study the optimized passenger layout on the cabin, an optimized model is proposed, and it is explained that this model has an optimized solution in theory. A calculation example is designed, and the result shows that the optimized model has an optimized solution and that to solve the objective function by this model is feasible. In addition, this model is also applicable to the layout of overhead stowage modules and the load of cargo.%　　飞机重心对飞行安全至关重要，也影响着飞机的性能。本文给出了乘客重量的定义，分析了飞机纵向重心对飞行性能的影响。通过分析确定了以乘客重量为自变量的约束条件和以实现所有乘客的纵向重心坐标靠近重心后极限为目的的目标函数，建立了考察不同重量的乘客在飞机中的座位最优布置的优化模型，并从理论上说明了优化模型具有最优解。算例结果表明，建立的最优化模型存在最优解，用此模型求解目标函数可行。此模型同样适用于行李箱布置与货物装载。