溅板式层板喷注单元燃烧特性数值分析

为了获得喷注单元结构参数对喷注器燃烧特性的影响规律,利用数值分析方法对单喷嘴溅板式层板喷注单元气-气燃烧特性进行研究,考察燃烧室特征长度及出口层喷嘴宽度对气氧/甲烷流动及燃烧特性的影响。在求解气-气燃烧流场方面,采用带化学反应的湍流N-S方程进行描述,其中化学动力学反应模型采用简化的单步9组分模型。研究结果表明:燃烧室特征长度的增大有利于特征速度效率的增加;该条件下采用溅板式层板喷注单元所对应的燃烧室特征长度约为600 mm。对比分析发现,出口层喷嘴宽度取0.15 mm时,水组分摩尔分数与热力计算值差别最大;当其值取1.05 mm时,燃烧室头部区域截面温度上升最快,取0.45 mm时上升最慢。总的来说,出口层喷嘴宽度取0.75 mm时,燃烧长度最短,燃烧效率最大。     

一个具有相互独立、不同分布服务时间序列的排队模型

讨论的排队模型 ,放宽了GI/G/1系统中“服务时间独立同分布”的限制 ,只要求各服务时间相互独立 ,因而较GI/G/1排队模型能更合理地拟合实际问题 .在此较宽的条件下 ,利用补充变量的方法 ,求得了该排队系统队长的瞬时分布     

一种薄透镜焦距测定中共轴调节方法讨论

结合二次成像法透镜焦距测定实验,研究总结出两种共轴调节方法,其特点是操作的指导思想明确,方法简单方便,可迅速准确的达到共轴调节目的。     

Performance and properties of Q‐Statistic monitoring schemes

In this article, we study the Shewhart chart of Q statistics proposed for the detection of process mean shifts in start‐up processes and short runs. Exact expressions for the run‐length distribution of this chart are derived and evaluated using an efficient computational procedure. The procedure can be considerably faster than using direct simulation. We extend our work to analyze the practice of requiring multiple signals from the chart before responding, a practice sometimes followed with Shewhart charts. The results show that waiting to receive multiple signals severely reduces the probability of quickly detecting shifts in certain cases, and therefore may be considered a risky practice. Operational guidelines for practitioners implementing the chart are discussed. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

真比例导引律的解析解研究

描述比例导引律的模型都是非线性微分方程组,不易求解,常规求解方法是线性化.对真比例导引律进行了详细推导,并和纯比例导引律进行了比较和分析,通过坐标变换和引入相对运动的单位角动量,获得了解析的捕获域和截获时间.研究结果表明,真比例导引律的捕获域受到导航比的限制,纯比例导引律的捕获域在一定条件下不受导航比限制.     

用Excel演示Floyd算法

Floyd算法是计算最短路径长度的基本算法之一,若用Excel实现,算法的核心部分只需填写一个公式,比通常的四重循环结构算法简单、直观。     

Monitoring censored lifetime data with a weighted‐likelihood scheme

Lifetime experiments are common in many research areas and industrial applications. Recently, process monitoring for lifetime observations has received increasing attention. However, some existing methods are inadequate as neither their in control (IC) nor out of control (OC) performance is satisfactory. In addition, the challenges associated with designing robust and flexible control schemes have yet to be fully addressed. To overcome these limitations, this article utilizes a newly developed weighted likelihood ratio test, and proposes a novel monitoring strategy that automatically combines the likelihood of past samples with the exponential weighted sum average scheme. The proposed Censored Observation‐based Weighted‐Likelihood (COWL) control chart gives desirable IC and OC performances and is robust under various scenarios. In addition, a self‐starting control chart is introduced to cope with the problem of insufficient reference samples. Our simulation shows a stronger power in detecting changes in the censored lifetime data using our scheme than using other alternatives. A real industrial example based on the breaking strength of carbon fiber also demonstrates the effectiveness of the proposed method. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 631–646, 2017     

含孔洞铜板复合材料修复疲劳寿命数值分析

用ANSYS有限元软件对复合材料修复含中心圆孔钢板的疲劳寿命进行了数值分析。研究了孔洞大小、补片长度、宽度和厚度对钢板疲劳寿命的影响;分析了复合材料胶接修补的效果,并对修复所用的复合材料补片的大小及厚度进行了优化设计。研究结果表明,利用复合材料胶接修补带中心圆孔的钢板可以使其疲劳性能提高1.6~18倍。修补时,增加补片宽度和厚度都可增加结构疲劳寿命;补片宽度为孔径8倍以上时,增加宽度对疲劳寿命影响不大;补片的长度为孔径的3~4倍时,修复效果最佳。     

Monitoring poisson count data with probability control limits when sample sizes are time varying

This article considers the problem of monitoring Poisson count data when sample sizes are time varying without assuming a priori knowledge of sample sizes. Traditional control charts, whose control limits are often determined before the control charts are activated, are constructed based on perfect knowledge of sample sizes. In practice, however, future sample sizes are often unknown. Making an inappropriate assumption of the distribution function could lead to unexpected performance of the control charts, for example, excessive false alarms in the early runs of the control charts, which would in turn hurt an operator's confidence in valid alarms. To overcome this problem, we propose the use of probability control limits, which are determined based on the realization of sample sizes online. The conditional probability that the charting statistic exceeds the control limit at present given that there has not been a single alarm before can be guaranteed to meet a specified false alarm rate. Simulation studies show that our proposed control chart is able to deliver satisfactory run length performance for any time‐varying sample sizes. The idea presented in this article can be applied to any effective control charts such as the exponentially weighted moving average or cumulative sum chart. © 2013 Wiley Periodicals, Inc. Naval Research Logistics 60: 625–636, 2013     

球面高斯投影及其变形的闭合公式

将地球视为球体时,高斯投影与横墨卡托投影是同一种投影,因此高斯投影公式可表示为形式紧凑的闭合形式。根据相关定义,以高斯投影的闭合公式为基础,通过一系列数学变换,推导出高斯投影反解公式、经纬线投影方程、投影的长度比及子午线收敛角公式的严格解析式,并借助算例验证了推导结果的可靠性与正确性。与以往根据高斯投影的幂级数公式推得的结果进行了对比分析,结果表明:所推导出的公式逻辑上更严密、形式上更紧凑,既丰富了高斯投影理论,又完善了地图投影数学基础。