电子分析天平温漂与时漂的自动补偿

温漂和时漂是电子分析天平产生误差的主要原因 ,其自动补偿具有重要意义。本文介绍了电子分析天平的工作原理 ,分析了电子分析天平温漂、时漂的产生机理 ,提出了一系列克服漂移的自动补偿方法 ,给出了传感器、硬件电路和软件等几方面的自动补偿方案 ,实际应用表明这些补偿方法是切实可行的。     

各向异性矩形板平面应力问题一般解析解

采用复级数方法首次建立了线性偏微分方程组边值问题的一般解析解法,并用于求解各向异性矩形板平面应力问题,给出各向异性板平面应力问题一般解析解．引入（Ｕ,Ｖ）＝∑∞－∞（Ａ,Ｂ）ｅｉｍπζ,ｅｉｍπηｒ,代入控制方程组,推出实数型级数解,将其回代入平衡方程组中任一个,可确定待定系数（Ａ,Ｂ）之间关系．将一般解析解代入边界条件,用余弦级数的方法确定待求系数．数值计算验证了解析方法的收敛性．     

Hilbert 空间中半线性随机发展方程的 Mild 解的一个存在性定理

讨论如下的Ｈｉｌｂｅｒｔ空间中半线性随机发展方程的Ｃａｕｃｈｙ问题：ｄｙ（ｔ）＝［Ａｙ（ｔ）＋ｆ（ｔ,ｙ（ｔ））］ｄｔ＋Ｇ（ｔ,ｙ（ｔ））ｄＷ（ｔ）;ｙ（０）＝ｙ０．｛在并不要求系数ｆ、Ｇ满足Ｌｉｐｓｃｈｉｔｚ条件的情况下,对上述Ｃａｕｃｈｙ问题的Ｍｉｌｄ解建立了一个局部存在性定理．     

一种新的运输问题对偶算法

本文给出求解运输问题的一种新的方法——运输问题对偶算法(仍是表上作业法)。最后给出的实例说明本文算法在解决某些问题时比[1]中方法简便。     

逸出气体检测的程序升温气相色谱法

建立了一种利用程序升温气相色谱仪的逸出气体检测(EGD)系统,用于测量液薄膜、固薄膜、纤维,粉末等材料中微量的热挥发及(或)挥发性热分解组分。这类微量用常规热分析法(如热重法(TG)、微商热重(DTG)及差热分析(DTA)等)一般难以测出。用该法测量的GuSO_4·5H_2O粉末样品、端羟基聚丁二烯(HTPB)及邻苯二甲酸二丁酯(DBP)薄膜样品逸出气的EGD数据同TG-DTG-DTA联用技术所得结果作了比较。还用该系统检测了硼酸(槽浴)阳极氧化铝箔、碳纤维、碳化硅纤维的逸出气体。阐述了本法的优点及具体步骤。     

旋转单元电场矢量法的真解判定方法

旋转矢量法可被用来进行有源相控阵列的通道校准。每轮测试后在计算相应通道的幅相时会出现伪解。通过调整固定场矢量的幅度,进行两轮测试,判定两轮测试中绝对解不变的那组解为真解。其辨别方法,在有效判定真解的同时,也降低了计算量与测试量。另外,由于两轮测试时只需测量幅度信息,降低了测试设备复杂度。数值仿真结果证明了此方法的有效性。     

Modeling and analysis of vessel casualties resulting from tanker traffic through narrow waterways

In this paper, we present a physics-based stochastic model to investigate vessel casualties resulting from tanker traffic through a narrow waterway. A state-space model is developed to represent the waterway and the location of vessels at a given time. We first determine the distribution of surface current at a given location of the waterway depending on channel geometry, bottom topography, boundary conditions, and the distribution of wind. Then we determine the distribution of the angular drift for a given vessel travelling at a given location of a waterway. Finally, we incorporate the drift probabilities and random arrival of vessels into a Markov chain model. By analyzing the time-dependent and the steady-state probabilities of the Markov chain, we obtain risk measures such as the probability of casualty at a given location and also the expected number of casualties for a given number of vessels arriving per unit time. Analysis of the Markovian model also yields an analytical result that shows that the expected number of casualties is proportional to square of the tanker arrival rate. We present our methodology on an experimental model of a hypothetical narrow waterway. © 1999 John Wiley & Sons, Inc. Naval Reseach Logistics 46: 871–892, 1999     

战车火控外弹道实时解算的研究

论证了战车火控系统弹道实时解算技术的现状和发展 ,提出了现代火控弹道问题实时解算的新的数学模型。这一先进的弹道解算设计方法 ,适应于计算机运算速度已大幅提高的技术水平 ,具有高度通用化的特点 ,并且使弹道问题的解算可以完全脱离射表进行     

一类具有时滞和常数收获率的比率型功能性反应的捕食-被捕食模型的稳定性与Hopf分支

研究一类具有时滞和常数收获率的比率型功能性反应的捕食—被捕食模型。首先,分析了模型奇点的类型,研究了正平衡点的局部稳定性以及Hopf分支的存在性;然后应用中心流形和规范型理论,得到了关于确定Hopf分支方向和分支周期解稳定性的计算公式;最后,应用Matlab软件对所得理论结果进行了数值模拟。     

An optimal critical level policy for inventory systems with two demand classes

Traditional inventory systems treat all demands of a given item equally. This approach is optimal if the penalty costs of all customers are the same, but it is not optimal if the penalty costs are different for different customer classes. Then, demands of customers with high penalty costs must be filled before demands of customers with low penalty costs. A commonly used inventory policy for dealing with demands with different penalty costs is the critical level inventory policy. Under this policy demands with low penalty costs are filled as long as inventory is above a certain critical level. If the inventory reaches the critical level, only demands with high penalty costs are filled and demands with low penalty costs are backordered. In this article, we consider a critical level policy for a periodic review inventory system with two demand classes. Because traditional approaches cannot be used to find the optimal parameters of the policy, we use a multidimensional Markov chain to model the inventory system. We use a sample path approach to prove several properties of this inventory system. Although the cost function is not convex, we can build on these properties to develop an optimization approach that finds the optimal solution. We also present some numerical results. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008