线性代数中一个向量等式的新应用

本文利用向量等式：对线性代数中的两个重要结论作出新的证明。本文给出的证明，不但方法上具有新意，而且其解决过程也会使我们对问题本身有新的认识和理解。     

数据挖掘在器材保障决策支持中的应用研究

针对器材保障现状,运用数据挖掘技术,探索器材保障决策支持问题.设计了器材保障决策支持系统中数据挖掘应用的解决方案,该方案包括了项目规划和应用设计,并以器材平时消耗预测为例,运用多元回归模型算,法进行了挖掘实现.数据挖掘为保障决策提供了更加丰富和科学的信息,可以较好地满足器材保障决策支持的需要.     

武器装备体系能力矩阵评估方法

针对武器装备体系能力难以客观、定量评估的问题,引入复杂网络理论,提出了基于矩阵运算的武器装备体系能力评估方法。分析了武器装备体系能力的概念,建立了武器装备体系的复杂层次网络模型,描述了装备网络的组成、运行过程,定义了装备网络的矩阵描述方法和矩阵运算规则,提出了装备网络作战能力描述参数,给出了装备网络能力的矩阵计算方法,进行了影响因素分析,最后通过实例验证了方法可行性、有效性和灵活性。     

The effects of model parameter deviations on the variance of a linearly filtered time series

We consider a general linear filtering operation on an autoregressive moving average (ARMA) time series. The variance of the filter output, which is an important quantity in many applications, is not known with certainty because it depends on the true ARMA parameters. We derive an expression for the sensitivity (i.e., the partial derivative) of the output variance with respect to deviations in the model parameters. The results provide insight into the robustness of many common statistical methods that are based on linear filtering and also yield approximate confidence intervals for the output variance. We discuss applications to time series forecasting, statistical process control, and automatic feedback control of industrial processes. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

基于面积比矩阵的加权特征向量点匹配算法

提出一种在仿射变换下点集关系描述算子--面积比矩阵,证明了其在仿射变换群下的不变性质;并由该性质推导得出特征向量(EA)匹配算法抗噪性能差的原因,在此基础上给出了基于面积比矩阵的加权特征向量算法.算法构造不同图像的面积比矩阵,对矩阵进行分解得到其特征值和特征向量,通过特征值进行加权获得图像中点的特征向量,比较图像点的特征向量获取匹配关系.因面积比矩阵的仿射不变性质,算法能实现仿射变换下点集精确匹配;采用的加权特征向量法改进了EA匹配法,具有更好的抗噪性能.实验表明算法切实可行.     

Fabrication of AA7005/TiB2-B4C surface composite by friction stir processing: Evaluation of ballistic behaviour

The present work aims to enhance the ballistic resistance of AA7005 alloy by incorporating the TiB₂ and B₄C ceramic reinforcement particles. Surface composites with different weight fractions of TiB₂ and B₄C particles were processed by friction stir processing. Micro-hardness and depth of penetration tests were carried out to evaluate the ballistic properties of the surface composites. The surface hardness of the composite was found to be nearly 70 HV higher than base alloy. The depth of penetration of the steel projectile was 20–26 mm in the composites as compared to 37 mm in the base alloy. Ballistic mass efficiency factor of the surface composite was found to be 1.6 times higher than base alloy. This is mainly attributed to the dispersion strengthening from the reinforcement particles.     

Effect of wave shaper on reactive materials jet formation and its penetration performance

Wave shaper effect on formation behavior and penetration performance of reactive liner shaped charge (RLSC) are investigated by experiments and simulations. The reactive materials liner with a density of 2.3 g/cm³ is fabricated by cold pressing at a pressure of 300 MPa and sintering at a temperature of 380 °C. Experiments of the RLSC with and without wave shaper against steel plates are carried out at standoffs of 0.5, 1.0, and 1.5 CD (charge diameter), respectively. The experimental results show that the penetration depths and structural damage effects of steel plates decrease with increasing the standoff, while the penetration depths and the damage effects of RLSC without wave shaper are much greater than that with wave shaper at the same standoff. To understand the unusual experimental results, numerical simulations based on AUTODYN-2D code are conducted to discuss the wave shaper effect, including the propagation behavior of detonation wave, the velocity and temperature distribution of reactive jet, and penetration depth of reactive jet. The simulations indicate that, compared with RLSC without wave shaper, there is a higher temperature produced inside reactive jet with wave shaper. This unusual temperature rise effects are likely to be an important mechanism to cause the initiation delay time of reactive jet to decline, which results in significantly decreasing its penetration performance.     

The building evacuation problem with shared information

In this article, the Building Evacuation Problem with Shared Information (BEPSI) is formulated as a mixed integer linear program, where the objective is to determine the set of routes along which to send evacuees (supply) from multiple locations throughout a building (sources) to the exits (sinks) such that the total time until all evacuees reach the exits is minimized. The formulation explicitly incorporates the constraints of shared information in providing online instructions to evacuees, ensuring that evacuees departing from an intermediate or source location at a mutual point in time receive common instructions. Arc travel time and capacity, as well as supply at the nodes, are permitted to vary with time and capacity is assumed to be recaptured over time. The BEPSI is shown to be NP‐hard. An exact technique based on Benders decomposition is proposed for its solution. Computational results from numerical experiments on a real‐world network representing a four‐story building are given. Results of experiments employing Benders cuts generated in solving a given problem instance as initial cuts in addressing an updated problem instance are also provided. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

反应法制备SiC涂层组成与结构

采用反应法在C/SiC复合材料表面制备SiC致密涂层,利用XRD分析涂层的组分及晶体结构,利用扫描电镜及金相显微镜观察涂层的断口及表面形貌,并对涂层形成过程进行了分析。结果显示:涂层主要由SiC及少量的游离Si组成,致密不开裂的SiC涂层与C/SiC复合坯体之间有很好的梯度过渡结构;相反,涂层与坯体之间如果没有形成过渡层,涂层会因热残余应力过大而开裂;反应法制备不开裂SiC涂层与CVDSiC涂层有很好的热匹配性,同时在其表面制备的CVDSiC涂层无点缺陷。     

采用保角变换法分析铁磁材料缺陷漏磁场

利用保角变换的方法求出了金属表面缺陷裂纹形状为半椭圆的情况下的漏磁场的模型。介绍了保角变换的过程, 边界等效磁荷的求解过程, 铁磁材料以外自由空间的漏磁场的求解过程, 并讨论了漏磁场与缺陷裂纹的大小的关系, 为缺陷定量提供了理论基础。