Maximizing the ratio of two convex functions over a convex set

The purpose of this article is to present an algorithm for globally maximizing the ratio of two convex functions f and g over a convex set X. To our knowledge, this is the first algorithm to be proposed for globally solving this problem. The algorithm uses a branch and bound search to guarantee that a global optimal solution is found. While it does not require the functions f and g to be differentiable, it does require that subgradients of g can be calculated efficiently. The main computational effort of the algorithm involves solving a sequence of subproblems that can be solved by convex programming methods. When X is polyhedral, these subproblems can be solved by linear programming procedures. Because of these properties, the algorithm offers a potentially attractive means for globally maximizing ratios of convex functions over convex sets. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

编队战斗机超视距空战效能评估

第三代战斗机主要空战模式是超视距空战,对编队战斗机超视距空战的全过程进行分析,建立了战斗机编队和导弹的运动模型,以领先发射概率和空战交换比作为评估指标,对编队战斗机超视距空战效能进行评估,最后给出了算例,重点分析了地面防空火力和编队战斗机数量、携带导弹总数等因素对空战交换比的影响.     

用于目标弱信号处理的三重相关匹配滤波技术

分析了在二重相关匹配滤波技术的基础上实现三重相关匹配滤波的方法。三重相关匹配滤波对于目标的弱信号进行检测和处理 ,具有广泛的实用价值。给出了一个红外搜索目标信号处理的计算机模拟结果 ,并对计算机模拟结果进行了分析 ,证明了三重相关匹配滤波技术相对于二重相关和三重相关检测技术的优越性     

van der Pol 振子在负反馈作用下的动力性态分析

本文从非线性振动理论和反馈控制论的角度研究了ｖａｎｄｅｒＰｏｌ振子在负反馈作用下的动力性态,用中心流形法和形式级数法分析了ｖａｎｄｅｒＰｏｌ振子的局部稳定性和Ｈｏｐｆ分叉行为,用Ｒｕｎｇｅ─Ｋｕｔｔａ法给出了仿真结果。     

2K-H 行星传动的极限传动比

在行星轮系机构综合中,研究行星轮数目与极限传动比的关系有着极其重要的意义。本文根据２Ｋ─Ｈ行星轮系机构的同心条件、安装条件和邻接条件,采用统一的符号,对满足上述条件的所有（六种）２Ｋ─Ｈ行星轮系机构,导出了行星轮个数与极限传动比的统一关系式,得到了所有２Ｋ─Ｈ行星轮系机构的极限传动比计算公式,为２Ｋ─Ｈ行星轮系机构的综合提供了理论根据。     

On lifetimes in random environments

For a component operating in random environment, whose hazard rate is assumed to be the realization of a suitable increasing stochastic process, conditions are found such that its lifetime is increasing in likelihood ratio (ILR). For the lifetimes of two components of the same kind some comparisons based on partial stochastic orders are presented. Some applications to the case of repairable components are finally provided. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 365–375, 1998     

Theoretical calculation and experimental study on the interaction mechanism between TKX-50 and AP

The combination of 5,5′-bistetrazole-1,1′-diolate (TKX-50) and ammonium perchlorate (AP) can make greater use of the chemical energy of TKX-50 based energetic materials. The research on the interaction mechanism between TKX-50 and AP is very important for designing TKX-50-AP compounds and judging the formation feasibility of composite particles, which can lay a theoretical foundation for the preparation of TKX-50-AP mixed crystals and the application of TKX-50 in propellant, propellant and explosive. Herein, in order to research the interaction mechanism between TKX-50 and AP, density-functional theory calculation was applied to optimize three configurations of TKX-50-AP compounds. The geometry structure, electrostatic potential and binding energy of the compounds were predicted, and the electronic density topological analysis was also carried out. Then TKX-50-AP mixed crystals structures were constructed, and the radial distribution function of H–O and H–N in mixed crystals was calculated. Finally, solvent/non-solvent method was applied to prepare TKX-50-AP composites, and the infrared spectroscopy and the non-isothermal decomposition performance of the composites were characterized. Results show that the superposition of positive charges in TKX-50 molecule and negative charges in AP makes the electrostatic potential distributions of TKX-50-AP compounds different from that of TKX-50 and AP. The interaction energies of TKX-50-AP 1, TKX-50-AP 2 and TKX-50-AP 3 are 39.743 kJ/mol, 61.206 kJ/mol and 27.702 kJ/mol, respectively. The interaction between TKX-50 molecules and AP molecules in TKX-50-AP mixed crystals both depends on hydrogen bonds and van der Waals force, and the number and strength of hydrogen bonds are significantly greater than that of van der Waals force. The composition of AP and TKX-50 makes the absorption peak of the five-membered rings and NH₃OH⁺ of TKX-50 shift to low wavenumber in the infrared spectroscopy. In general, TKX-50 interacts with AP via hydrogen bonds and van der Waals force, and the calculated results are in good agreement with the experimental results. The composition of TKX-50 and AP can also prolong the decomposition process.     

粘弹性泊松比的各种表述方法

本文讨论线性粘弹泊松比的四种表述法:微分算子法、遗传积分法、复数表示法和经验表示法的实用价值和问题。为固体推进剂力学性态的描述提供了方便。     

火炮身管寿命的分布函数

本文运用可靠性理论和《130mm 加农炮剩余寿命的一种预测模型》一文的结果,证明火炮身管寿命服从 Weibull 分布,并以130mm 加农炮为实例,给出参数的比值估计方法.     

炮兵对有生力量压制比的仿真计算方法

为了评估炮兵对有生力量压制效果,应用离散事件仿真方法建立了炮兵射击有生力量仿真模型,提出一种炮兵对有生力量压制比的仿真计算方法。首先,给出了压制比的概念与模型。然后,建立了基于离散事件仿真的炮兵射击有生力量模型。最后,结合实例验证了仿真计算方法的正确性。