分布式卫星系统相对运动的Hamilton力学建模及求解方法研究

介绍了地球扁率摄动下分布式卫星系统(DSS,Distributed Satellite System)相对运动的Hamilton动力学模型,给出DSS相对运动的Hamilton正则方程;针对地球扁率摄动下DSS相对运动的两点边值问题,提出了一种基于生成函数的打靶求解法,应用该方法对地球扁率摄动下DSS高精度构型调整问题进行了计算,结果表明该算法具有较高的计算效率,可有效避免维数灾难问题。     

直接力/气动力复合作用动能拦截弹姿态控制方法

针对直接力/气动力复合作用动能拦截弹的姿态控制问题,建立了拦截弹俯仰-偏航通道短周期运动模型;利用线性二次型最优跟踪控制理论结合姿控固体小火箭点火逻辑设计了复合控制系统,通过分析非线性容限得出了该系统对直接力偏差具有强鲁棒性的结论;姿控回路仿真表明系统具有快速响应特性及良好的跟踪性能,考虑侧喷干扰效应等实际条件的六自由度弹道仿真表明所设计的控制系统能够满足拦截末段直接碰撞要求。     

武警部队快速机动中最优路径的实现

紧急条件下武警部队快速机动最优路径,是一个多目标多约束随机动态交通网络寻优问题。在分析交通网络拓扑化特点及最短路模型前提下,着重研究道路通行能力带给复杂公路网络道路寻优问题的影响,并结合GIS系统利用改进的Dijkstra算法求解。     

直杆塑性动力屈曲的能量准则和特征参数解

提出弹塑性应力波作用下直杆动力屈曲的定量求解方法,将临界应力和惯性指数作为一对特征参数求解.由相平衡邻位形准则得出屈曲控制方程和边界条件,由所导出的能量转换和守恒准则得出压缩波阵面上的附加约束方程,由此得出了问题的完备定解条件,从而提出了求解直杆塑性动力屈曲的特征参数方法.     

软件无失效测试数据的统计分析

软件可靠性估计是软件可靠性研究的重要问题之一,文中对分布式软件系统可靠性的评估方法进行了研究,给出了软件系统可靠度的最优置信下限.最后以某大型软件的评估为例,说明该方法的应用.     

弹性直槽式摆盘发动机的动力学分析

对弹性直导槽约束的摆盘发动机进行运动学和动力学研究,建立了该发动机工作过程的数学模型,并进行了仿真计算和结果分析,为解决运动部件不平衡性引起振动和噪声的问题提供了理论依据.     

Designing a screening experiment for highly reliable products

Within a reasonable life‐testing time, how to improve the reliability of highly reliable products is one of the great challenges to today's manufacturers. By using a resolution III experiment together with degradation test, Tseng, Hamada, and Chiao (1995) presented an interesting case study of improving the reliability of fluorescent lamps. However, in conducting such an experiment, they did not address the problem of how to choose the optimal settings of variables, such as sample size, inspection frequency, and termination time for each run, which are influential to the correct identification of significant factors and the experimental cost. Assuming that the product's degradation paths satisfy Wiener processes, this paper proposes a systematic approach to the aforementioned problem. First, an intuitively appealing identification rule is proposed. Next, under the constraints of a minimum probability of correct decision and a maximum probability of incorrect decision of the proposed identification rule, the optimum test plan (including the determinations of inspection frequency, sample size, and termination time for each run) can be obtained by minimizing the total experimental cost. An example is provided to illustrate the proposed method. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 514–526, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10024     

A parallel machine replacement model

This paper considers a finite horizon parallel machine replacement problem where a fixed number of machines is in operation at all times. The operating cost for a machine goes up as the machine gets older. An older machine may have to be replaced by a new one when its operating cost becomes too high. There is a fixed order cost associated with the purchase of new machines. Machine purchase prices and salvage values may depend on the period in which they were purchased. The objective is to find a replacement plan that minimizes the total discounted cost over the problem horizon. We believe that the costs in our model are more commonly observed in practice than those previously used in the literature. The paper develops properties of optimal solutions and an efficient forward‐time algorithm to find an optimal replacement plan. A dominance property is developed that further limits the options to be considered, and a simple forecast horizon result is also presented. Future research possibilities are mentioned. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 275–287, 2002; Published online in Wiley InterScience (http://www.interscience.wiley.com). DOI 10.1002/nav.10012     

More on the search for an infiltrator

We have asymptotically solved a discrete search game on an array of n ordered cells with two players: infiltrator (hider) and searcher, when the probability of survival approaches 1. The infiltrator wishes to reach the last cell in finite time, and the searcher has to defend that cell. When the players occupy the same cell, the searcher captures the infiltrator with probability 1 ? z. The payoff to the hider is the probability that the hider reaches the last cell without getting captured. © 2002 John Wiley & Sons, Inc. Naval Research Logistics, 49: 1–14, 2002; DOI 10.1002/nav.1047     

视景仿真中运动实体的动态碰撞检测

在视景仿真中,经常会出现运动实体穿入或穿透其他实体的现象,而用现有的各类包围盒模型不能很好地处理这一问题。为了解决这个问题,介绍了包围盒方法,分析了实体平动、转动、组合运动及相应包围盒的碰撞检测;针对所发现的问题,提出动态碰撞检测方法,并建立了运动实体的动态碰撞检测模型;运用OpenGVS图形引擎,通过VC++编程对模型进行了仿真,通过对仿真结果的对比实验,验证了模型的可行性。