基于ISIGHT的微型飞行器布局优化设计研究

微型飞行器具有飞行雷诺数低、易受外界环境干扰等特点,并存在多目标优化问题,因此其气动布局优化设计难度较大。针对微型飞行器的特点及优化设计要求,采用N-S方程与遗传算法相结合的方法对微型飞行器的多目标优化设计,基于ISIGHT软件来实现该方法的具体流程,克服了计算量大、无法实现自主迭代的缺点。并对微型飞行器的展弦比、尾翼安装角、尾翼的高度和根弦长进行优化,优化目标为飞行器的静稳定性和升阻特性,优化后的构型具有良好的气动性能,结果表明该方法明显提高了计算的精度和优化设计的水平,在工程上有一定的应用价值。     

合成孔径声纳的数学问题

根据波动方程线性化模型,考虑了合成孔径成像的数学问题,对于在二维曲面上所获得的数据来重建三维景物,将基阵的运动和旋转归结为对基阵轨迹的依赖上.利用微局部分析给出了一般问题的一种新的理论反演算法,并且分析了成像系统的分辨率,从而为今后的工作打下理论基础.     

发动机冷却燃料超临界压力下做功潜力㶲分析

在高马赫数飞行下,超燃冲压发动机的燃料冷却量大于燃料燃烧量。为了降低燃料的冷却量以及实现燃料冷却量和燃烧量的匹配,采用分析法对超燃冲压发动机壁面燃料冷却工质在超临界压力下进行做功潜力分析。发动机壁面冷却燃料的特性决定其热量大小。根据发动机壁面温度分布、热流密度分布计算热量,建立稳定流动燃料工质的平衡方程。结果表明:在壁面最高温度为1200 K时,传入壁面的热量为562.4 k W,其中理论热量为541.3 k W;冷却燃料工质流量增加,最大输出功减小;燃料工质出口温度增加,输出功减小;燃料工质出口压力增加,输出功基本不变。     

周期扰动下二次系统的混沌与次谐分枝

研究一类二次Hamilton系统在周期扰动下的动力学性质,应用Melnikov方法给出了该系统产生混优与次谐分枝的参数范围。     

波浪扰动下的小型潜射导弹出水动力学建模与仿真

运用Morison公式,提出波浪扰动作用下,考虑弹体运动与波浪耦合的导弹出水过程动力学模型,并对小型潜射导弹的出水过程进行仿真和分析。以弹体姿态变化为例,研究弹体运动与波浪间的耦合关系对波浪扰动作用的影响,分析海情等级、波浪相位、出水速度、出水姿态角等因素对导弹出水过程的影响。结果表明,考虑弹体运动与波浪间耦合关系的出水动力学模型更加准确;潜射导弹的小型性和快速出水特性有利于降低波浪对导弹出水姿态的影响;对快速出水的潜射导弹,波浪扰动分析时须考虑海情等级、出水时间和波浪相位的影响。     

高超声速横向喷流的三维数值模拟

采用有限体积法,结合半隐的Harten TVD格式和Baldwin Lomax代数湍流模型,求解了三维全N S方程,计算了超声速气流干扰流场,并与实验数据进行了比较,模拟清晰地捕捉到喷流附近复杂波系结构和旋涡结构,并且显示出了弹体表面受到喷流影响的区域,说明横向喷流干扰对弹体影响非常大。     

A novel gradient approach for optimal design and sensitivity analysis of EWMA control charts

Conventional control charts are often designed to optimize out‐of‐control average run length (ARL), while constraining in‐control ARL to a desired value. The widely employed grid search approach in statistical process control (SPC) is time‐consuming with unsatisfactory accuracy. Although the simulation‐based ARL gradient estimators proposed by Fu and Hu [Manag Sci 45 (1999), 395–413] can alleviate this issue, it still requires a large number of simulation runs to significantly reduce the variance of gradient estimators. This article proposes a novel ARL gradient estimation approach based on integral equation for efficient analysis and design of control charts. Although this article compares with the results of Fu and Hu [Manag Sci 45 (1999), 395–413] based on the exponentially weighted moving average (EWMA) control chart, the proposed approach has wide applicability as it can generally fit into any control chart with Markovian property under any distributions. It is shown that the proposed method is able to provide a fast, accurate, and easy‐to‐implement algorithm for the design and analysis of EWMA charts, as compared to the simulation‐based gradient estimation method. Moreover, the proposed gradient estimation method facilitates the computation of high‐order derivatives that are valuable in sensitivity analysis. The code is written in Matlab, which is available on request. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 223–237, 2014     

Stochastic framework for partially degradation systems with continuous component degradation‐rate‐interactions

Many conventional models that characterize the reliability of multicomponent systems are developed on the premise that for a given system, the failures of its components are independent. Although this facilitates mathematical tractability, it may constitute a significant departure from what really takes place. In many real‐world applications, system components exhibit various degrees of interdependencies, which present significant challenges in predicting degradation performance and the remaining lifetimes of the individual components as well as the system at large. We focus on modeling the performance of interdependent components of networked systems that exhibit interactive degradation processes. Specifically, we focus on how the performance level of one component affects the degradation rates of other dependent components. This is achieved by using stochastic models to characterize how degradation‐based sensor signals associated with the components evolve over time. We consider “Continuous‐Type” component interactions that occur continuously over time. This type of degradation interaction exists in many applications, in which interdependencies occur on a continuum. We use a system of stochastic differential equations to capture such “Continuous‐Type” interaction. In addition, we utilize a Bayesian approach to update the proposed model using real‐time sensor signals observed in the field and provide more accurate estimation of component residual lifetimes. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 286–303, 2014     

基于兰切斯特方程的网络中心战模型

为了更全面、客观地评价信息优势和决策优势对网络中心战进程的影响,在分析经典兰切斯特方程的基础上,引入信息?决策概率,提出了基于兰切斯特方程的网络中心战模型,仿真实验表明该模型能够有效地描述信息?决策概率在网络中心战进程中发挥的作用,为研究分析网络中心作战过程提供了理论参考。     

网格方程组并行计算预条件迭代若干性质及应用

对网格方程组作区域分裂并行计算 ;分析了预条件迭代谱条件的若干性质及其对算法收敛性的影响 ,为构造预处理提供了理论依据 ,并应用于区域分裂并行计算