用非概率理论分析混合不确定性结构的可靠性

针对不确定性结构可靠性分析中的输入变量分布参数具有不确定性和输入变量为区间模型的混合不确定性结构展开研究。考虑到可用信息最少的情况,将分布参数的不确定性描述为区间模型。通过等概率转换方法将随机变量与其分布参数进行分离,使问题转化为随机与区间变量混合的可靠性问题,建立了混合不确定性问题的可靠性分析模型。基于非概率可靠性理论,建立混合不确定结构分析模型的二级极限状态函数并结合Kriging代理模型建立了高效的求解方法。将所建立的混合不确定模型应用于飞行器结构的不确定性分析中,验证了所建模型的合理性和所提方法的高效性和准确性。     

Bivariate models from univariate life distributions: A characterization cum modeling approach

Bivariate life distribution models are of importance for studying interdependent components. We present a generic approach by introducing a new concept of characterized model in stead of a characterized distribution. It strikes a balance between characterization and modeling approaches to eliminate their individual limitations and incorporate their respective strengths. The proposed model, being a characterized one, admits many important properties irrespective of the choice of marginal distributions. The retention of univariate IFR, DFR, IFRA, DFRA, NBU, and NWU class properties in the bivariate setup has been ensured along with some results on series combinations and convolution. No other models, available in the literature, can ensure simultaneous retention of these fundamental and extremely important class properties. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

Exact likelihood inference for the exponential distribution under generalized Type‐I and Type‐II hybrid censoring

Chen and Bhattacharyya [Exact confidence bounds for an exponential parameter under hybrid censoring, Commun Statist Theory Methods 17 (1988), 1857–1870] considered a hybrid censoring scheme and obtained the exact distribution of the maximum likelihood estimator of the mean of an exponential distribution along with an exact lower confidence bound. Childs et al. [Exact likelihood inference based on Type‐I and Type‐II hybrid censored samples from the exponential distribution, Ann Inst Statist Math 55 (2003), 319–330] recently derived an alternative simpler expression for the distribution of the MLE. These authors also proposed a new hybrid censoring scheme and derived similar results for the exponential model. In this paper, we propose two generalized hybrid censoring schemes which have some advantages over the hybrid censoring schemes already discussed in the literature. We then derive the exact distribution of the maximum likelihood estimator as well as exact confidence intervals for the mean of the exponential distribution under these generalized hybrid censoring schemes. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

基于进化搜索策略的并行子空间设计算法

并行子空间设计是一种有效的多学科设计优化算法,但其搜索策略存在两点不足:一是寻找全局最优解能力有限,二是计算复杂。为弥补上述不足,将遗传算法应用到CSD算法中,提出了一种基于进化搜索策略的CSD算法。介绍了该算法的设计流程,应用该算法对一测试问题进行了优化,取得了满意结果。     

利用几何结构求解欧氏平面TSP的改进遗传算法

TSP是经典的组合优化问题。根据欧氏平面TSP最优环路的性质提出了子路径及相关的概念,利用点集凸壳设计了环路构造算法,并以点集Delaunay三角剖分图为启发信息设计了改进的遗传算法,通过中国144城市TSP等验证了算法的有效性。     

R-C系统中由表面散射引起的视场内杂散光分布

推导了R-C系统焦平面上由主镜和次镜表面散射引起的视场内杂散光分布的近似解析表达式.针对典型R-C系统的视场内杂散光分布,由近似表达式得到的计算结果与利用商业光学仿真软件得到的模拟结果具有较好的一致性,说明了近似表达式的正确性.与焦平面上无像差衍射光分布相比较,可以方便地分析强光入射时R-C系统焦平面上不同区域的饱和机制.研究结果表明,对于典型的R-C系统,探测器表面上以几何像点为中心,半径为2.5mm的范围内,衍射光是引起探测器饱和的主要因素;在此范围外,表面散射造成探测器的饱和.该结果为进一步研究强光饱和实验,解释有关现象提供理论分析基础.     

A spatial rank‐based multivariate EWMA control chart

Nonparametric control charts are useful in statistical process control when there is a lack of or limited knowledge about the underlying process distribution, especially when the process measurement is multivariate. This article develops a new multivariate self‐starting methodology for monitoring location parameters. It is based on adapting the multivariate spatial rank to on‐line sequential monitoring. The weighted version of the rank‐based test is used to formulate the charting statistic by incorporating the exponentially weighted moving average control scheme. It is robust to non‐normally distributed data, easy to construct, fast to compute and also very efficient in detecting multivariate process shifts, especially small or moderate shifts which occur when the process distribution is heavy‐tailed or skewed. As it avoids the need for a lengthy data‐gathering step before charting and it does not require knowledge of the underlying distribution, the proposed control chart is particularly useful in start‐up or short‐run situations. A real‐data example from white wine production processes shows that it performs quite well. © 2012 Wiley Periodicals, Inc. Naval Research Logistics 59: 91–110, 2012     

静止条件下多种轨道-电枢形状的轨道炮电流分布仿真

针对等轨道截面、等炮口截面、等长度、等材料和等电流8种典型的轨道-电枢结构,在电枢速度为0 m／s的情况下,采用Ansoftl 2有限元分析软件,仿真分析电流分布特征,得到：矩形截面轨道一长方体结构电枢的轨道炮有最不均匀的电流分布特征,电流主要分布在轨道外表面和电枢后部凹表面,并且分别对应于趋肤效应和电流短路径聚集现象,跑道形截面的轨道一回转体结构电枢的轨道炮有最均匀的电流密度分布．     

遥控武器站总体结构参数优化研究

为减小遥控武器站炮口扰动以提高射击精度,建立了遥控武器站部分机构参数化三维模型、有限元模型和刚柔耦合动力学模型。基于多学科集成优化软件ModelCenter进行了系统集成,以减小炮口扰动为目标,建立了遥控武器站总体结构参数优化模型。采用多目标遗传算法对总体结构参数进行了优化,优化后炮口振动状况明显改善,与位移相关的起始撼动和与速度相关的起始扰动分别较原方案降低了17.05%和19.04%。     

基于GA-SVDD的轴承性能退化评估

为解决因机械设备轴承损伤导致机械故障而无法正常工作的问题,提出了一种基于GA-SVDD的轴承性能退化定量评估方法。该方法采用遗传算法优化选择特征参量,并建立SVDD超球体模型,运用SVDD距离评估轴承的性能退化程度。实验分析表明：该方法能够有效地对轴承性能退化过程的细节进行描述,实现对待测样本退化程度的定量评估。