基于控制理论的旋翼翼型优化设计  

Optimum Shape Design of Rotor Airfoils via Control Theory

作　　者：黄海生[1] 杨旭东[1] 

机构地区：[1]西北工业大学,陕西西安710072

出　　处：《航空计算技术》2010年第4期22-26,共5页Aeronautical Computing Technique

基　　金：总装气动预研基金资助项目

摘　　要：基于粘性Navier-Stokes方程和最优控制理论原理,研究了气动/几何约束条件下多设计变量的旋翼翼型气动优化设计问题。根据给定目标函数的表达形式,在计算坐标系下推导出了相应的伴随方程和边界条件,以及梯度方程的数学表达式,并对流动控制方程和伴随方程进行了有效数值求解。综合流动方程、伴随方程、目标函数敏感性导数和优化算法,发展了一种高效旋翼翼型气动优化方法。通过典型旋翼翼型的算例验证,表明方法的有效性。Based on the viscous Navier-Stokes equations and optimal control theory principles to study the aerodynamic/geometric constraints of design variables under the condition of multi-rotor airfoil aerodynamic optimization design problems.According to the given expression of the objective function in the calculation of coordinates with the corresponding pushdown derived equations and boundary conditions,as well as the gradient equation of the mathematical expression,and flow control equation and adjoint equation for the effective numerical solution.Integrated flow equation,with the equation,the sensitivity derivative of the objective function and optimization algorithm,developed a highly efficient method of rotor airfoil aerodynamic optimization.Rotor airfoil through a typical example,it proves the effectiveness of the method.

关 键 词：旋翼翼型 控制理论 气动优化设计 目标函数 NAVIER-STOKES方程 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]