介子跃迁形状因子的重夸克极限和1/m_Q修正

在BS理论框架下,对0~-→0~-和0~-→1~-(0~-和1~-分别代表赝标介子和矢量介子)跃迁的形状因子进行模型无关的分析.结果表明BS框架既能给出重夸克极限下的自旋—味对称性,又能给出重夸克有效理论关于1/m_Q修正的Luke定理及其它关系.     

泛函微分方程x’（t）＝a（t）f（x（μ（x（t））））的解的性态

本文研究偏差变元依赖状态自身的泛函微分方程ｘ’（ｔ）＝ａ（ｔ）ｆ（ｘ（μ（ｘ（ｔ））））（１）的解的渐近性态。进一步推广或部分推广Ｄｕｎｋｅｌ［１］、Ｅｄｅｒ［２］、Ｗａｎｇ［３］、吴汉忠［４．５］及作者［６～８］等人的工作。文中使用了一些新方法,也得到了一些新结果。     

系统状态方程的信流图描述

本文从基本概念出发,结合两个具体电路讨论如何用信流图建立系统标准状态方程的方法。     

基于差分进化算法的铁磁物体磁化率优化方法

针对工程中铁磁物体磁化率难以确定的问题,以单元表面积分铁磁物体感应磁场模型为基础,利用磁场测量值建立了多维磁化率数学优化模型,并运用具有全局多维寻优能力的进化差分算法对多维磁化率数学模型进行了求解,进而确定了铁磁物体的感应磁场分布。最后,设计了空心圆筒磁测实验,实验结果表明:该方法能有效获取铁磁物质多维磁化率,还能精确计算铁磁物体的感应磁场分布。     

潜艇水下回转运动稳定性分析

水下回转运动是潜艇常用的运动形式之一,属于潜艇转向运动的重要研究内容。回转运动过程中,潜艇受力复杂,容易出现分岔等非线性现象,潜艇运动稳定性变差。运用同伦延拓法、分岔理论和李雅普诺夫运动稳定性理论分析了潜艇水下回转运动稳定性,并通过数值仿真试验验证了分析结果的正确性和分析方法的有效性,为潜艇运动稳定性的研究提供了思路。     

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。     

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。     

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     

地球外部空间扰动引力并行计算

针对传统的司托克斯积分方法计算量大、模型复杂的缺点,通过将地球球面以适当的经纬度差进行划分及合理简化,实现了司托克斯积分法计算外部空间扰动引力的积分方程的离散化,建立了地球扰动引力的快速计算模型,并在快速计算模型的基础上采用并行计算技术,实现扰动引力的实时计算。仿真结果表明,提出的快速并行计算模型能较好地实现地球扰动引力的快速、高精度计算。