民用飞机商载航程图解析方程的建立及应用

民用飞机的商载航程能力满足市场需求对民用飞机的成功至关重要，航程能力设计指标是否合理需要在方案初期结合市场特征进行全面的评估。通过推导商载航程图边界线的解析方程，建立了飞机总体参数与商载航程图的关系，构建了一种通过设计指标中的标准商载、设计航程以及特征重量参数即可快速准确求解出飞机商载航程图的方法。使得在性能计算输入参数有限的方案初期，仅通过基本的设计指标就能反映较为全面的商载航程能力，可应用于方案阶段基于市场需求的方案快速迭代，优化飞机设计指标。

Development and application of the analytic equation of the payload-range diagram for commercial aircraft

The payload-range capability that meets market demands is vital to the success of the commercial aircraft. Thorough evaluation of the validity of the design specifications for the intended market is needed during the early concept design. This article focuses on the derivation of the analytic equation for the limitation lines on the payload-range diagram, building a mathematical connection between aircraft general parameters and the payload-range diagram. A method that fast and precisely derives the diagram from design payload point together with the designed range and some characteristic weights is created. The method allows the payload-range capability to be evaluated simply from several key design parameters at the very beginning of the conceptual design when detailed input data are not enough for massive performance calculation. The method can be applied to the fast iteration of the concept based on the market demands and the optimization of design specifications.