用几何规划的方法研究飞机总体参数的优化设计

寻求一个工程设计中可以接受的、能够满足各种设计约束条件的优化设计途径,一直是飞机设计部门努力追求的目标。由此可见,非线性规划是重要而困难的研究课题。本文用几何规划的方法求解一般的非线性规划问题,利用Duffin公式近似求目标函数和约束条件,经过正定单项式的对数化,将非线性问题线性化,并将之用于飞机整体设计的参数优化选取问题,算例结果表明,符合飞机总体设计阶段对计算的要求,具有一定的理论意义和应用价值。

TO RESEARCH AIRCRAFT GLOBAL PARAMETER OPTIMIZATION DESIGN WITH GEOMETRIC PROGRAMMING MENTIONED

To find an acceptable scheme and make it conform to variable restrain conditions in engineering design is a main aim of aircraft design unit. So to solve no-linear programming is not only important but also difficult researchful item. The main content of this paper is to solve sommon no-linear programming with geometric programming method. Duffin approximation formula is used to condense object function and constraint function into positive single term, and positive single term is changed into linear term in logarithm coordinate, and linear programming is employed to solve aircraft global parameter optimization problem. From the result above, It conforms to the requirememt in the global design phase of aircraft, and has some advantage in practice.