Log‐concave and concave distributions in reliability

Nonparametric classes of life distributions are usually based on the pattern of aging in some sense. The common parametric families of life distributions also feature monotone aging. In this paper we consider the class of log‐concave distributions and the subclass of concave distributions. The work is motivated by the fact that most of the common parametric models of life distributions (including Weibull, Gamma, log‐normal, Pareto, and Gompertz distributions) are log‐concave, while the remaining life of maintained and old units tend to have a concave distribution. The classes of concave and log‐concave distributions do not feature monotone aging. Nevertheless, these two classes are shown to have several interesting and useful properties. We examine the closure of these classes under a number of reliability operations, and provide sharp reliability bounds for nonmaintained and maintained units having life distribution belonging to these classes. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 419–433, 1999     

舰船远海维修保障的适应性及平台选型

舰船远海维修保障平台选型实质是属性包括操作性、稳定性、及时性、安全性和经济性的模糊关联多属性群决策问题。为了更客观地反映平台选型过程中决策者的决策意图,更准确地融合决策信息,构建了三角模糊数犹豫直觉模糊关联有序加权几何平均（Related Triangular Hesitate Intuitionistic Ordered Weighted Geometric Average, R-THIOWGA）算子,给出了三角模糊数犹豫直觉模糊数的比较规则,并基于R-THIOWGA提出了远海维修保障平台选型的群决策方法。将提出的群决策方法应用于我国海军舰船远海维修保障平台选型的实例分析。分析结果表明：用R-THIOWGA算子解决模糊关联多属性决策问题是可行的、有效的,自航式半潜维修船是远海维修保障最佳作业平台。     

复合材料修补金属裂损结构吸湿老化的试验与有限元分析

暴露在湿热环境中的复合材料修补金属裂损结构易吸湿老化,导致该结构性能下降,服役寿命缩短。为研究吸湿性对复合材料修补金属裂损结构修补效果和耐久性的影响,利用试验方法分析了吸湿性对复合材料胶补金属裂损结构及胶黏剂力学性能的影响;利用有限元方法评估了吸湿性对复合材料胶补金属裂损结构试验件修补效果和耐久性的影响。研究结果表明:吸湿后含穿透双边裂纹铝合金板玻璃纤维单面胶补试验件的疲劳裂纹扩展寿命和极限载荷的平均值分别下降为吸湿前的71%和90%;吸湿造成拉伸条件下复合材料胶补金属裂损结构胶层失效模式由内聚破坏为主转变为界面破坏为主;在"湿-热"老化30天后,E44/聚酰胺环氧树脂胶黏剂试验件吸水饱和,弹性模量下降为未老化前的40%,塑性应变超过了总应变的25%;有限元分析发现胶层损伤受吸湿影响明显,吸湿性加速了胶层损伤,且裂纹长度越长,加速作用越明显;同时吸湿使得裂纹尖端的J积分值急剧增大,导致修补结构的疲劳裂纹扩展寿命缩短,裂纹长度越长,吸湿性对于复合材料胶接修补效果的危害越严重。     

现役船体结构可靠性评估理论研究现状及展望

作为现役船体结构可靠性评估的关键技术,可靠性评估理论直接决定了可靠性评估结果的有效性和置信度。从可靠性评估理论的计算原理、度量指标计算及工程应用等方面阐述了传统可靠性评估理论和非概率可靠性评估理论的发展历程及研究现状,分析、总结了各可靠性评估理论在现役船体结构可靠性中的优势及不足,给出了今后开展相关研究的展望,并指出了现役船体结构可靠性研究的重点。     

A bivariate optimal replacement policy for a cold standby repairable system with repair priority

In this article, an optimal replacement policy for a cold standby repairable system consisting of two dissimilar components with repair priority is studied. Assume that both Components 1 and 2, after repair, are not as good as new, and the main component (Component 1) has repair priority. Both the sequence of working times and that of the components'repair times are generated by geometric processes. We consider a bivariate replacement policy (T,N) in which the system is replaced when either cumulative working time of Component 1 reaches T, or the number of failures of Component 1 reaches N, whichever occurs first. The problem is to determine the optimal replacement policy (T,N)* such that the long run average loss per unit time (or simply the average loss rate) of the system is minimized. An explicit expression of this rate is derived, and then optimal policy (T,N)* can be numerically determined through a two‐dimensional‐search procedure. A numerical example is given to illustrate the model's applicability and procedure, and to illustrate some properties of the optimal solution. We also show that if replacements are made solely on the basis of the number of failures N, or solely on the basis of the cumulative working time T, the former class of policies performs better than the latter, albeit only under some mild conditions. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

空降车着陆缓冲过程车体动态应力仿真研究

为了研究空降车着陆缓冲过程车体结构冲击响应,建立了车体有限元模型,运用显式有限元方法,结合实车空投试验的冲击加速度数据,以力的形式模拟车体着陆缓冲过程所受的冲击,仿真得到普通、恶劣和极限3种工况下着陆缓冲过程车体应力分布。结果表明:在3种着陆工况下,空降车左后立柱底端均为应力最大位置。研究结果可为空降车空投寿命预测及装备保障提供依据。     

基于Holtrop公式与遗传算法的船型参数优化

针对方尾水面舰船,采用Holtrop阻力计算公式,以总阻力为目标函数,据遗传算法,对主要的船型参数进行了优化计算,进而得出了在一系列速度下主要船型参数的最优解及相应的由Holtrop公式计算得到的总阻力,并绘制了在各最优解下由Holtrop公式计算的总阻力随速度的变化曲线,结合Holtrop公式相应图谱对所得优化计算结果进行了分析.结果表明,该方法对于水面舰船的主尺度比等船型参数优选具有较强的实用性.     

基于随机Petri网的装备抢救抢修保障模型

通过建立一个基本的装备抢救抢修Petri网模型,把Petri网建模思想引入战时装备抢救抢修保障模型中,将实际系统中的实体和活动映射为模型系统中的库所和变迁,将装备抢救抢修保障排队论模型用随机Petri网进行描述。构建了一个完整的装甲团装备抢救抢修随机Petri网模型,利用软件包SPNP6.0对其进行模拟运行,通过对模型仿真数据的分析为装备保障的方案制定提供决策依据。     

基于层次变权的基地级修理能力评价模型

从影响基地级修理能力的主要因素出发,建立了比较全面的评价指标体系。在进行修理能力评价时,针对常权综合方法难以体现决策者对决策因素惩罚或激励性的要求,提出了一种基于层次变权的模糊评价模型。实例分析和计算结果表明,该评价模型合理、有效、可行。     

度量空间的非标准特征(I)

本文首先引进度量空间非标准包的定义,然后将讨论非标准包的许多性质。在此基础上,用非标准方法来刻划度量空间中的各种紧性。最后应用这些结果,将证明ＡｒｚｅｌａＡｓｃｏｌｉ定理,并在较弱的条件下,得到Ｂａｎａｃｈ不动点定理。