On efficient algorithms for finding efficient salvo policies

We consider the salvo policy problem, in which there are k moments, called salvos, at which we can fire multiple missiles simultaneously at an incoming object. Each salvo is characterized by a probability p_i: the hit probability of a single missile. After each salvo, we can assess whether the incoming object is still active. If it is, we fire the missiles assigned to the next salvo. In the salvo policy problem, the goal is to assign at most n missiles to salvos in order to minimize the expected number of missiles used. We consider three problem versions. In Gould's version, we have to assign all n missiles to salvos. In the Big Bomb version, a cost of B is incurred when all salvo's are unsuccessful. Finally, we consider the Quota version in which the kill probability should exceed some quota Q. We discuss the computational complexity and the approximability of these problem versions. In particular, we show that Gould's version and the Big Bomb version admit pseudopolynomial time exact algorithms and fully polynomial time approximation schemes. We also present an iterative approximation algorithm for the Quota version, and show that a related problem is NP-complete.     

复合固体推进剂等效力学性能VCFEM细观预示方法

根据固体推进剂的细观结构特征,采用等圆最优装载方式生成代表性体积单元(Representative Volume Element,RVE)模型,并结合Voronoi单元有限元方法(Voronoi Cell Finite Element Method,VCFEM)和均匀化方法,发展了一种可预示固体推进剂等效力学性能的数值分析方法,从而得到体分比和组分材料对等效模量和等效泊松比的影响规律。为证明该方法的有效性,设计一个对称数值模型,通过对该方法和传统有限元方法的节点位移结果的比较,发现两者之间的相对误差小于5%,且VCFEM用少量单元就完成了分析,提高了计算效率。通过对不同细观结构下推进剂RVE模型的计算,发现随着夹杂体分比的增大,夹杂的颗粒增强效应越明显,基体材料的变化比夹杂材料对等效力学性能有着更加显著的影响。     

辐射传热时活塞式气缸中加热气体的最大膨胀功

对热辐射传热定律q∝Δ(T4)下,给定初态内能、体积,末态体积以及过程时间时,加热气体膨胀的最优构型进行了研究,利用最优控制理论得出最大膨胀功输出时膨胀的最优构型由两个瞬时绝热分支和一个E-L分支组成的结论.给出了各分支之间转换点参数的求解方法及最优构型的数值算例,最后将线性唯象传热定律、牛顿传热定律、平方传热定律、立方传热定律和辐射传热定律下加热气体膨胀的最优构型进行了比较.结果显示,随着传热指数的增加,理想气体的内能呈现出明显的整体增加趋势,而体积则呈现出明显的整体减小趋势.     

炮闩闩体击针孔强度仿真计算与结构改进

从击针和闩体的装配结构关系入手,在闩体击针室受力分析的基础上,进行了闩体有限元分析,得到了击针室两个不同部位受力时闩体击针孔处的应力和应变情况,从而提出解决闩体镜面击针孔产生凸出或裂纹问题的可行方案。     

不设横向加劲板箱形柱钢框架中节点有限元分析

为了更好地了解不设横向加劲板箱形柱钢框架中节点的实际受力状态和破坏特征,建立了该节点的ANSYS有限元模型,对钢框架梁、柱翼缘板的受力、变形等进行了有限元分析,研究了该节点的破坏现象,分析了钢梁翼缘与箱形柱翼缘板域的应力分布。最后,将3个试件的试验分析和有限元分析进行了比较,以期对此类节点的分析和研究提供参考。     

基于GAHP的模糊综合评判法在潜艇 作战方案评估中的应用

潜艇作战方案评估是辅助对潜指挥员决策的重要方法,而评估的科学性对决策的有效性影响很大.利用多人层次分析法(GAHP)和模糊综合评判相结合的方法,对潜艇作战方案进行评估,评估的结果可信度高,有利于对潜指挥员的正确决策.最后,通过实例证明了方法的有效性.     

Robustness of efficient server assignment policies to service time distributions in finite‐buffered lines

We study the assignment of flexible servers to stations in tandem lines with service times that are not necessarily exponentially distributed. Our goal is to achieve optimal or near‐optimal throughput. For systems with infinite buffers, it is already known that the effective assignment of flexible servers is robust to the service time distributions. We provide analytical results for small systems and numerical results for larger systems that support the same conclusion for tandem lines with finite buffers. In the process, we propose server assignment heuristics that perform well for systems with different service time distributions. Our research suggests that policies known to be optimal or near‐optimal for Markovian systems are also likely to be effective when used to assign servers to tasks in non‐Markovian systems. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

军用车辆行动部分疲劳寿命随机有限元分析

阐述了基于随机有限元的车辆行动部分可靠性原理及基本过程,将结构件的弹性模量、泊松比和几何尺寸等因素定义为随机场,并对其进行离散,同时分析了车辆行驶的典型路面的路面谱,利用随机有限元求解在不同的路面状况下车辆行动零部件的受力情况,得到了零部件危险点应力的随机分布和不同路面状况下疲劳可靠性,并对相关的实例进行分析。     

基于Stateflow的PERT网络仿真方法

介绍了基于Stateflow的PERT网络仿真方法,详细阐述了建模思路、建模步骤以及难点问题的解决方法,并对PERT网络实例进行了仿真。该方法容许工序的持续时间服从任意分布,而且可以考虑所有可能出现的关键路线。     

磨损身管下的杆式穿甲弹强度失效计算机模拟

针对某型105 mm钨合金超速脱壳穿甲弹在射击试验时出现的弹体强度失效现象,使用有限元分析软件对其强度进行了分析计算。计算分两种工况：正常状态下的弹体应力应变分布和磨损身管条件下的弹体应力应变分布。根据计算结果,证实了弹体强度失效是由于火炮身管过度磨损的原因所致。