幂指函数在非线性规划中的应用

给出一种自适应近似函数－幂指函数f^-(x)在非线性规划中的收敛算法。它采用minx∈Enf^-(x)的最优解序列｛x^-｝去逼近原问题minx∈Enf^-(x)的最优解x^*.与传统优化算法相比：该算法最优解｛x^-｝可以通过f^-x(x)=0直接解析得出；该算法不要求序列｛f(x)^k｝具有单调减特性，却能够保证算法的收敛性，该算法的计算量对变量的维数不敏感，从而具有广泛的应用前景，从方法论上，它是采用“特殊非线性”来研究“一般非线性”的一种新方法。     

含孔边裂纹板的弯曲断裂计算

 采用复变函数理论和边界配置方法 ,对含孔边裂纹板的弯曲断裂进行了分析计算。首先假设挠度的复变函数式 ,进而可以求板的内力。它们能满足一系列的基本方程和支配条件 ,仅板的边界条件需要考虑 ,并且可用边界配置法和最小二乘法近似满足。对孔双边裂纹问题进行了应力强度因子计算。数值算例表明 ,本文方法精度较高 ,计算量小 ,是一种有效的半解析、半数值计算方法。     

基于RBF神经网络的数字模式识别方法

在介绍径向基函数神经网络基本原理的基础上,讨论了基于 RBF 的数字模式识别的设计及其原则,包括识别数字网络模型结构、最近聚类学习算法等问题。     

基于粒子群优化的航路规划算法研究与仿真

文章将粒子群优化方法应用于飞机低空突防航路规划技术研究,提出了利用一组正弦波曲线来构造一个粒子,并在适应度函数设计巾加入处罚函数,使该方法得到的飞行航线严格经过起始点和目标点,而且满足飞机的机动性能要求,以及起始航向角与目标进入角的要求。仿真结果表明,所用方法简便可行,粒子能较快地收敛于全局最佳航路。     

大气紊流环境下的纵向飞行参数响应分析

介绍了大气紊流环境下飞机纵向飞行参数的计算与匹配方法.由于紊流的随机性特征,飞行参数响应分析采用时域与频域相结合的方式,对某型飞机紊流环境下的纵向飞行参数进行了计算分析.采用所介绍的方法,可以获得比较合理的飞行情况来指导型号设计工作.     

一类二阶三点边值问题解的存在性

运用上下解方法,研究了一类二阶混合非线性边值条件的三点边值问题,通过构造了适当的非线性辅助函数工得到了解存在的充分条件,推广和改进了某些已知的结果。     

涡扇发动机早期退化性能的线性变参数估计

针对涡扇发动机线性变参数(Linear parameter varying,LPV)模型,给出了一种新的早期退化航空发动机部件性能LPV滤波器设计方法.该方法采用仿射依赖于参数的二次Lyapunov函数,在仿射二次稳定性的基础上,引入多凸性引理将滤波器求解问题转化为线性矩阵不等式(Linear matrix inequalities,LMI)约束下的凸优化问题,避免了求解参数化线性矩阵不等式(Parameterized linear matrix inequalities,PLMI)约束下的优化问题.针对某型早期退化涡扇发动机的仿真表明,该方法能以较高精度估计性能退化参数,且鲁棒性强,增益调度简单,具有一定的工程意义.      

点火瞬态过程仿真模型参数辨识

建立了固体火箭发动机点火瞬态过程一维非定常流场仿真模型,采用系统辨识方法进行了模型参数不确定性研究。基于点火试验用缩比发动机试验结果,得到了传热模型参数和瞬态燃速模型参数的最优估计,提高了点火瞬态过程一维仿真模型的预估精度。采用近似方法,构建Kriging近似函数,有效解决了一维非定常流场仿真的计算复杂性问题。     

Numerical analysis and optimization of boundary layer suction on airfoils

Numerical approach of hybrid laminar flow control(HLFC) is investigated for the suction hole with a width between 0.5 mm and 7 mm. The accuracy of Menter and Langtry’s transition model applied for simulating the flow with boundary layer suction is validated. The experiment data are compared with the computational results. The solutions show that this transition model can predict the transition position with suction control accurately. A well designed laminar airfoil is selected in the present research. For suction control with a single hole, the physical mechanism of suction control, including the impact of suction coefficient and the width and position of the suction hole on control results, is analyzed. The single hole simulation results indicate that it is favorable for transition delay and drag reduction to increase the suction coefficient and set the hole position closer to the trailing edge properly. The modified radial basis function(RBF) neural network and the modified differential evolution algorithm are used to optimize the design for suction control with three holes. The design variables are suction coefficient, hole width, hole position and hole spacing. The optimization target is to obtain the minimum drag coefficient. After optimization,the transition delay can be up to 17% and the aerodynamic drag coefficient can decrease by 12.1%.     

Practical compensation for nonlinear dynamic thrust measurement system

The real dynamic thrust measurement system usually tends to be nonlinear due to the complex characteristics of the rig, pipes connection, etc. For a real dynamic measuring system,the nonlinearity must be eliminated by some adequate methods. In this paper, a nonlinear model of dynamic thrust measurement system is established by using radial basis function neural network(RBF-NN), where a novel multi-step force generator is designed to stimulate the nonlinearity of the system, and a practical compensation method for the measurement system using left inverse model is proposed. Left inverse model can be considered as a perfect dynamic compensation of the dynamic thrust measurement system, and in practice, it can be approximated by RBF-NN based on least mean square(LMS) algorithms. Different weights are set for producing the multi-step force, which is the ideal input signal of the nonlinear dynamic thrust measurement system. The validity of the compensation method depends on the engine’s performance and the tolerance error0.5%, which is commonly demanded in engineering. Results from simulations and experiments show that the practical compensation using left inverse model based on RBF-NN in dynamic thrust measuring system can yield high tracking accuracy than the conventional methods.