航空学报 > 2009, Vol. 30 Issue (10): 1883-1888

考虑不确定性的飞机总体参数优化方法

王宇,余雄庆   

  1. 南京航空航天大学 飞行器先进设计技术国防重点学科实验室
  • 收稿日期:2008-08-31 修回日期:2008-11-10 出版日期:2009-10-25 发布日期:2009-10-25
  • 通讯作者: 余雄庆

Optimization Method for Aircraft Conceptual Design Under Uncertainty

Wang Yu, Yu Xiongqing   

  1. Key Laboratory of Fundamental Science for National DefenseAdvanced Design Technology of Flight Vehicles, Nanjing University of Aeronautics and Astronautics
  • Received:2008-08-31 Revised:2008-11-10 Online:2009-10-25 Published:2009-10-25
  • Contact: Yu Xiongqing

摘要: 由于在各种设计问题包括飞机概念设计中都存在一定的不确定性,因此在总体参数优化时有必要考虑这种不确定性。以大型客机总体参数优化设计为例,定义了考虑不确定性的飞机总体参数优化问题,该问题与传统飞机总体参数优化的区别是要进行不确定性分析。而不确定性分析的计算量过大,为此提出了一种渐进代理模型方法来解决这一难题。在建立代理模型时,通过连续成批地在设计空间的全局和局部均加入新样本点,不断提高代理模型的全局拟合精度,直至获得满意的代理模型为止。然后在优化过程中使用计算量小的代理模型。大型客机总体参数优化问题中含有5个设计变量,目标函数为起飞重量最轻,并需满足4个性能约束。考虑了不确定性后,不仅使目标值(起飞重量)对总体参数变化的敏感度有所减小,而且满足约束(设计要求)概率显著提高。

关键词: 飞机设计, 概念设计, 不确定性, 优化, 客机, 蒙特卡罗方法

Abstract: Uncertainty always exists in any design problems, including aircraft conceptual design. The effect of such uncertainty on aircraft performances, therefore, must be accounted for during the optimization of aircraft conceptual design. In this article, a conceptual design of a passenger jet is used to demonstrate optimization under uncertainty. Different from deterministic optimization, optimization under uncertainty is much more computationally expensive. Hence sequential global surrogate models are developed to alleviate the computational demand. By sequentially adding sampling points both globally and locally in the design space, the accuracy of the surrogate models is gradually improved until reaching the expected level of accuracy. The cheaper surrogate models are then used in the optimization. In the optimization of the passenger jet conceptual design, there are five design variables and the take-off weight is minimized under four performance constraints. With the consideration of uncertainty, the objective (take-off weight) is much less sensitive to uncertainties, and the constraints (performance requirements) are also satisfied with much higher probabilities.

Key words: aircraft design, conceptual design, uncertainty, optimization, passenger jet, Monte Carlo methods

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