"M/M/1"在单火力单元射击多目标火力分配中的应用

在单服务台排队系统理论的基础上,建立了单火力单元对多个目标射击的系统仿真模型,对此模型进行了分析,给出了模型的适用范围,并通过在计算机上仿真运行实例,验证了该仿真模型的正确性.该方法是一种有益的尝试与探索,对局部作战指挥决策有一定的参考价值.     

线性方程组迭代解法的另类矩阵形式

改进了线性方程组迭代解法的矩阵形式．以最简单的Jacobi迭代法的迭代矩阵为基础,只需经过简单的加减和数乘运算就可得到Seidel和SOR的迭代过程,使得算法新形式的求解过程数学意义非常明确,表达形式也非常简洁,这样不仅便于理解记忆,还非常有利于编程实现。改进后的矩阵迭代形式求解计算量为:Seidel需要大约n2次乘除法．SOR约为2n2次乘除法,且改进后的Seidel迭代法和SOR方法存储空间也较传统形式为少。     

聚碳硅烷的高温高压合成与减压蒸馏

采用高温高压法合成了聚碳硅烷(PCS),通过改变合成条件与减压蒸馏温度的方法对PCS分子量及其分布进行调控。研究表明,改变PCS的反应温度、反应时间,可以基本控制PCS的分子量及其分布范围。随着反应温度的提高,反应时间的延长,PCS的分子量逐渐增大,分子量分布变宽。当合成温度高于450℃,反应时间大于6h时,或温度高于460℃,反应时间大于4h时,PCS中出现高分子量部分。随着反应条件的强化,高分子量部分逐渐增加,甚至出现超高分子量部分。提高减压蒸馏温度,可以有效降低PCS的低分子含量,提高分子量,降低分散系数。减压蒸馏温度每提高50℃,PCS的低分子含量约降低8%,重均分子量约提高1000,分散系数平均降低约0.3。     

指派问题的降阶优化算法

指派问题是运筹学中特殊线性规划中的一类问题。在现实生活中,指派问题非常普遍,常常可以见到各种各样的指派问题。通过对指派问题的数学模型进行分析,提出了与以往方法不同的求解指派问题的一种新的思路,通过对几个定理的研究,给出了一种新的求解方法——降阶优化算法。对求解指派问题提供了一种新的途径,在运筹学等领域有着较好的应用前景。     

弹炮结合防空武器系统火力分配模型

火力分配是弹炮结合武器系统射击指挥中的重要环节。论文针对弹炮结合武器系统中防空导弹分系统和高炮分系统战术技术性能与作战特点,在具体分析火力分配考虑的主要因素——防空导弹分系统和高炮分系统的杀伤区与毁伤概率的基础上,确立了相应的火力优化分配原则,构建了实用的临近航路和过航点处火力分配模型,通过仿真表明该模型实时性好,能满足实际应用需要,对进一步研究提供了有益的参考。     

防空导弹制导雷达综合抗干扰能力评估

分析了地空导弹武器系统制导雷达面临的主要干扰及其所采取的主要抗干扰措施,一般层次分析法(AHP)在评估某些模糊概念时存在缺陷。基于模糊层次分析法(FAHP),构造了模糊一致判断矩阵,建立了防空导弹制导雷达综合抗干扰能力评估模型,该模型具有快速、易于操作等优点,解决了在评价制导雷达综合抗干扰能力时难以定量分析的问题。     

Repairable consecutive‐k‐out‐of‐n: F system with Markov dependence

In this article, a model for a repairable consecutive‐k‐out‐of‐n: F system with Markov dependence is studied. A binary vector is used to represent the system state. The failure rate of a component in the system depends on the state of the preceding component. The failure risk of a system state is then introduced. On the basis of the failure risk, a priority repair rule is adopted. Then the transition density matrix can be determined, and the analysis of the system reliability can be conducted accordingly. One example each of a linear and a circular system is then studied in detail to explain the model and methodology developed in this paper. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 18–39, 2000     

Experimental investigation on dynamic response and damage models of circular RC columns subjected to underwater explosions

Reinforced concrete (RC) columns are widely used as supporting structures for high-piled wharfs. The study of damage model of a RC column due to underwater explosion is a critical issue to assess the wharf’s antiknock security. In this study, the dynamic response and damage model of circular RC columns subjected to underwater explosions were investigated by means of scaled-down experiment models. Experiments were carried out in a 10.0 m diameter tank with the water depth of 2.25 m, under different explosive quantities (0.025 kg–1.6 kg), stand-off distances (0.0 m–7.0 m), and detonation depths (0.25 m–2.0 m). The shock wave load and dynamic response of experiment models were measured by configuring sensors of pressure, acceleration, strain, and displacement. Then, the load distribution characteristics, time history of test data, and damage models related to present conditions were obtained and discussed. Three damage models, including bending failure, bending-shear failure and punching failure, were identified. In addition, the experience model of shock wave loads on the surface of a RC column was proposed for engineering application.     

Investigation on the spatial distribution characteristics of behind-armor debris formed by the perforation of EFP through steel target

The behind-armor debris (BAD) formed by the perforation of an EFP is the main damage factor for the secondary destruction to the behind-armor components. Aiming at investigating the BAD caused by EFP, flash X-ray radiography combined with an experimental witness plate test method was used, and the FEM-SPH adaptive conversion algorithm in LS-DYNA software was employed to model the perforation process. The simulation results of the debris cloud shape and number of debris were in good agreement with the flash X-ray radiographs and perforated holes on the witness plate, respectively. Three-dimensional numerical simulations of EFP's penetration under various impact conditions were conducted. The results show that, an ellipsoidal debris cloud, with the major-to-minor axis radio (a/b) smaller than that caused by shaped charge jets, was formed behind the target. With the increase of target thickness (h) and decrease of impact velocity (v₀) and obliquity (θ), the value of a/b decreases. The number of debris ejected from target is significantly higher than that from EFP. Based on the statistical analysis of the spatial distribution of the BAD, An engineering calculation model was established considering the influence of h, v₀ and θ. The model can with reasonable accuracy predict the quantity and velocity distribution characteristics of BAD formed by EFP.     

Effect of tool rotational speed on the particle distribution in friction stir welding of AA6092/17.5 SiCp-T6 composite plates and its consequences on the mechanical property of the joint

This study investigates the effect of tool rotational speed (TRS) on particle distribution in nugget zone (NZ) through quantitative approach and its consequences on the mechanical property of friction stir welded joints of AA6092/17.5 SiC_p-T6 composite. 6 mm thick plates are welded at a constant tool tilt angle of 2° and tool traverse speed of 1 mm/s by varying the TRS at 1000 rpm, 1500 rpm and 2000 rpm with a taper pin profiled tool. Microstructure analysis shows large quantity of uniformly shaped smaller size SiC particle with lower average particle area which are homogeneously distributed in the NZ. The fragmentation of bigger size particles has been observed because of abrading action of the hard tool and resulting shearing effect and severe stress generation due to the rotation of tool. The particles occupy maximum area in the matrix compared to that of the base material (BM) due to the redistribution of broken particles as an effect of TRS. The migration of particles towards the TMAZ-NZ transition zone has been also encountered at higher TRS (2000 rpm). The microhardness analysis depicts variation in average hardness from top to bottom of the NZ, minimum for 1500 rpm and maximum for 2000 rpm. The impact strength at 1000 rpm and 1500 rpm remains close to that of BM (21.6 J) while 2000 rpm shows the accountable reduction. The maximum joint efficiency has been achieved at 1500 rpm (84%) and minimum at 1000 rpm (68%) under tensile loading. Fractographic analysis shows mixed mode of failure for BM, 1000 rpm and 1500 rpm, whereas 2000 rpm shows the brittle mode of failure.