Global aerodynamic design optimization based on data dimensionality reduction

In aerodynamic optimization, global optimization methods such as genetic algorithms are preferred in many cases because of their advantage on reaching global optimum. However, for complex problems in which large number of design variables are needed, the computational cost becomes prohibitive, and thus original global optimization strategies are required. To address this need, data dimensionality reduction method is combined with global optimization methods, thus forming a new global optimization system, aiming to improve the efficiency of conventional global optimization. The new optimization system involves applying Proper Orthogonal Decomposition (POD) in dimensionality reduction of design space while maintaining the generality of original design space. Besides, an acceleration approach for samples calculation in surrogate modeling is applied to reduce the computational time while providing sufficient accuracy. The optimizations of a transonic airfoil RAE2822 and the transonic wing ONERA M6 are performed to demonstrate the effectiveness of the proposed new optimization system. In both cases, we manage to reduce the number of design variables from 20 to 10 and from 42 to 20 respectively. The new design optimization system converges faster and it takes 1/3 of the total time of traditional optimization to converge to a better design, thus significantly reducing the overall optimization time and improving the efficiency of conventional global design optimization method.     

高转速风扇叶片外物撞击损伤的定量评价方法

外物撞击是造成航空发动机风扇叶片变形、损伤甚至断裂的主要因素。针对外物撞击持续时间短、瞬间载荷大、损伤影 响因素多，难以进行定量损伤评价的问题，提出基于叶片损伤参数α的叶片损伤定量评价方法。以发动机风扇叶片受冰撞为例， 采用非接触叶尖计时测量方法，对叶片撞击产生的叶尖位移进行监测分析，验证了该方法的可行性。采用瞬态动力学分析方法对 叶片经受撞击过程进行全流程仿真模拟，并采用正交试验法定量研究了外物撞击过程中的撞击速度、叶片转速、撞击位置3种因 素对叶片损伤参数α的影响，拟合回归方程并绘制了这3种因素的3D响应曲面图，得到各因素的影响权重。结果表明：冰块速度 与撞击位置同时下降时，叶片损伤弱化效果显著。该方法可为大型风扇叶片抗外物打击性能设计和在役健康监测提供理论支撑。     

Stationary flow fields prediction of variable physical domain based on proper orthogonal decomposition and kriging surrogate model

In this paper a new flow field prediction method which is independent of the governing equations, is developed to predict stationary flow fields of variable physical domain. Predicted flow fields come from linear superposition of selected basis modes generated by proper orthogonal decomposition(POD). Instead of traditional projection methods, kriging surrogate model is used to calculate the superposition coefficients through building approximate function relationships between profile geometry parameters of physical domain and these coefficients. In this context,the problem which troubles the traditional POD-projection method due to viscosity and compressibility has been avoided in the whole process. Moreover, there are no constraints for the inner product form, so two forms of simple ones are applied to improving computational efficiency and cope with variable physical domain problem. An iterative algorithm is developed to determine how many basis modes ranking front should be used in the prediction. Testing results prove the feasibility of this new method for subsonic flow field, but also prove that it is not proper for transonic flow field because of the poor predicted shock waves.     

Transient simulation of regression rate on thrust regulation process in hybrid rocket motor

The main goal of this paper is to study the characteristics of regression rate of solid grain during thrust regulation process. For this purpose, an unsteady numerical model of regression rate is established. Gas–solid coupling is considered between the solid grain surface and combustion gas.Dynamic mesh is used to simulate the regression process of the solid fuel surface. Based on this model, numerical simulations on a H2O2/HTPB(hydroxyl-terminated polybutadiene) hybrid motor have been performed in the flow control process. The simulation results show that under the step change of the oxidizer mass flow rate condition, the regression rate cannot reach a stable value instantly because the flow field requires a short time period to adjust. The regression rate increases with the linear gain of oxidizer mass flow rate, and has a higher slope than the relative inlet function of oxidizer flow rate. A shorter regulation time can cause a higher regression rate during regulation process. The results also show that transient calculation can better simulate the instantaneous regression rate in the operation process.     

降低PLC系统峰均比的低复杂度改进SLM算法

针对信道慢时变特性及噪声复杂的特点,提出了适用于低压电力线通信的降低峰均比的改进算法.改进算法对原始输入序列中的部分数据进行循环移位来获得一系列不同的新数据序列;在每个新数据序列尾部插入相应的边带信息组成一个输入候选序列;对这一系列不同的输入候选序列分别实施傅里叶反变换,得到不同的输出序列;从中选择峰均比最小的用于传输,达到降低系统峰均比的目的.结果表明:改进算法能够有效地降低系统的峰均比,并且能够获得更好的误码率性能,同时具有比传统选择性映射方法更低的计算复杂度.     

桥函数理论的研究进展

叙述了从研究沃尔什函数的复制理论和方块脉冲函数移位方法出发，推出桥函数的构造过程，桥函数把工程中常用的沃尔什函数和方块脉冲函数这两种似乎不相关的函数联系了起来，本文详细地给出了四种桥函数的构造过程和它们的波形。     

藜蒿中绿原酸溶剂提取方法研究

应用醇溶剂回流法提取藜蒿中绿原酸，通过正交试验，对藜蒿中绿原酸进行溶剂提取条件的优化研究，并分剐讨论了各因素对绿原酸提取率的影响。实验表明，乙醇浓度70％、12倍的提取剂用量、温度85℃、提取时间4h、提取两次为乙醇溶剂提取藜蒿中绿原酸的最佳条件，总绿原酸提取率为1.24％。     

一类回归分析预测模型及其应用

提出了一类回归分析预测模型，这类模型将多项式和一些简单的数学函数相乘．得出分两步求解模型中待定参数的近似方法，简化了待定参数的求解过程。给出了这类模型的应用实例，结果表明：同一些简单函数构成的模型相比，这类模型具有较好的预测能力。     

Direction finding for two-dimensional incoherently distributed sources with Hadamard shift invariance in non-uniform orthogonal arrays

This paper proposes a novel algorithm for Two-Dimensional (2D) central Direction-of-Arrival (DOA) estimation of incoherently distributed sources. In particular, an orthogonal array structure consisting of two Non-uniform Linear Arrays (NLAs) is considered. Based on first-order Taylor series approximation, the Generalized Array Manifold (GAM) model can first be established to separate the central DOAs from the original array manifold. Then, the Hadamard rotational invariance relationships inside the GAMs of two NLAs are identified. With the aid of such relationships, the central elevation and azimuth DOAs can be estimated through a search-free polynomial rooting method. Additionally, a simple parameter pairing of the estimated 2D angular parameters is also accomplished via the Hadamard rotational invariance relationship inside the GAM of the whole array. A secondary but important result is a derivation of closed-form expressions of the Cramer-Rao lower bound. The simulation results show that the proposed algorithm can achieve a remarkably higher precision at less complexity increment compared with the existing low-complexity methods, which benefits from the larger array aperture of the NLAs. Moreover, it requires no priori information about the angular distributed function.     

Levy 方法的改进

由于Levy方法简化了指标函数,并采用经典的最小二乘法,用于估计系统传递函数的参数,受实验数据误差影响大。基于Levy方法但保持原来的指标函数,提出一种改进的增量迭代算法和正交最小二乘法,仿真结果表明,该算法具有良好的收敛性,并使系统参数估计精度较Levy方法有明显的提高。