Reliability Analysis for the Competing Failure with Probabilistic Failure Threshold Value and Its Application to the k-out-of-n Systems

A method for reliability analysis of the competing failure with the probabilistic failure threshold value not the fixed threshold value is presented, which involves the random shocks and the degradation is independent and dependent respectively. Specifically, for the dependent condition, the effect due to the random shocks on the degradation is considered with a damage factor. In addition, the dependent competing failure model is applied to the reliability analysis of the k-out-of-n systems. Finally, two studied cases are presented to illustrate the proposed method, and the results show the proposed method is reasonable.     

Reliability Modeling and Maintenance Policy Optimization for Deteriorating System Under Random Shock

Performance degradation and random shock are commonly regarded as two dependent competing risks for system failures. One method based on effective service age is proposed to jointly model the cumulative effect of random shock and system degradation, and the reliability model of degradation system under Nonhomogeneous Poisson processes (NHPP) shocks is derived. Under the assumption that preventive maintenance (PM) is imperfective and the corrective maintenance (CM) is minimal repair, one maintenance policy which combines PM and CM is presented. Moreover, the two decision variables, PM interval and the number of PMs before replacement, are determined by a multi-objective maintenance optimization method which simultaneously maximizes the system availability and minimizes the system long-run expect cost rate. Finally, the performance of the proposed maintenance optimization policy is demonstrated via a numerical example.     

Bivariate Constant-Stress Accelerated Degradation Model and Inference Based on the Inverse Gaussian Process

Modern highly reliable products may have two or more quality characteristics (QCs) because of their complex structures and abundant functions. Relations between the QCs should be considered when assessing the reliability of these products. This paper conducts a Bayesian analysis for a bivariate constant-stress accelerated degradation model based on the inverse Gaussian (IG) process. We assume that the product considered has two QCs and each of the QCs is governed by an IG process. The relationship between the QCs is described by a Frank copula function. We also assume that the stress on the products affects not only the parameters of the IG processes, but also the parameter of the Frank copula function. The Bayesian MCMC method is developed to calculate the maximum likelihood estimators (MLE) of the model parameters. The reliability function and the mean-time-to-failure (MTTF) are estimated through the calculation of the posterior samples. Finally, a simulation example is presented to illustrate the proposed bivariate constant-stress accelerated degradation model.     

Reliability Prediction Method Based on State Space Model for Rolling Element Bearing

Reliability analysis based on equipment’s performance degradation characteristics is one of the significant research areas in reliability research. Nowadays, many researches are carried on multi-sample analysis. But it is limited for a single equipment reliability prediction. Therefore, the method of reliability prediction based on state space model(SSM) is proposed in this research. Feature energy of the monitored signals is extracted with the wavelet packet analysis and the associated frequency band energy with online monitored data. Then,degradation feature is improved by moving average filtering processing taken as input pair model parameter of SSM to be estimated. In the end, state space predicting model of degradation index is established. The probability density distribution of the degradation index is predicted, and the degree of reliability is calculated. A real testing example of bearing is used to demonstrate the rationality and effectiveness of this method. It is a useful method for single sample reliability prediction.     

基于首次穿越破坏的TMD体系频域可靠性分析

为了研究可靠度的频域特性及TMD(tuned mass damper)体系减震特性,基于首次穿越破坏准则,推导了结构在随机激励下关于谱矩截止频率的概率分布计算公式,采用向前差分方法求解关于频域的概率密度,利用概率分布计算公式分析了TMD结构体系可靠度的频域概率信息.结果表明:可靠度的频域概率密度为负值,且随着频带变宽频域可靠度趋近于直接按照首次穿越破坏准则的计算值;结构无控时前两阶频率处的可靠度下降比例为59.23%和35.45%, TMD结构体系的相应比例为34.54%和55.92%,从频域可靠度的角度表明了TMD结构体系主要控制一阶振型,并体现了减震的可靠性.      

Numerical simulation to reliability analysis of fault-tolerant repairable system

In the traditional method for the reliability analysis of fault-tolerant system, the system structure is described by means of binary decision diagram (BDD) and Markov process, and then the reliability indexes are calculated. However, as the size of system augments, the size of state space will increase exponentially. Additionally, Markov approach requires that the failure and repair time of the components obey an exponential distribution. In this study, by combining dynamic fault tree (DFT) and numerical simulation based on the minimal sequence cut set (MSCS), a new method to evaluate reliability of fault-tolerant system with repairable components is proposed. The method presented does not depend on Markov model, so that it can effectively solve the problem of the state-space combination explosion. Moreover, it is suitable for systems whose failure and repair time obey an arbitrary distribution. Therefore, our method is more flexible than the traditional method. At last, an example is given to verify the method.     

考虑路段失效的军事物流配送中心选址模型

针对战场保障网络常常遭受敌人打击的现象,建立了考虑路段失效的军事配送中心可靠选址模型.模型为双层规划形式,上层规划的目标是优化系统在无路段失效和出现路段失效时所覆盖的总的需求量,下层规划的目标是最小化某一路段失效时系统覆盖的需求量.采用启发式算法求解下层规划,运用遗传算法求解整个模型.通过一个算例验证模型的优越性和算法的有效性.算例结果表明,尽管模型所得选址方案在无路段失效时覆盖的需求量,小于不考虑路段失效的最大覆盖模型选址方案覆盖的需求量,但在最佳路段失效时模型选址方案的覆盖效果优于后者.     

Reliability analysis of electrical system of computer numerical control machine tool based on bayesian networks

The core of computer numerical control (CNC) machine tool is the electrical system which controls and coordinates every part of CNC machine tool to complete processing tasks, so it is of great significance to strengthen the reliability of the electrical system. However, the electrical system is very complex due to many uncertain factors and dynamic stochastic characteristics when failure occurs. Therefore, the traditional fault tree analysis (FTA) method is not applicable. Bayesian network (BN) not only has a unique advantage to analyze nodes with multiply states in reliability analysis for complex systems, but also can solve the state explosion problem properly caused by Markov model when dealing with dynamic fault tree (DFT). In addition, the forward causal reasoning of BN can get the conditional probability distribution of the system under considering the uncertainty; the backward diagnosis reasoning of BN can recognize the weak links in system, so it is valuable for improving the system reliability.     

A Novel Model of Failure Rate Prediction for Circular Electrical Connectors

The reliability of electrical connectors has critical impact on electronic systems. It is usually characterized by failure rate prediction value according to standard MIL-HDBK-217(or GJB-299 C in Chinese) in engineering practice. Given to their limitations and mislead results, a new failure rate prediction models needs to be presented. The presented model aims at the mechanism of increase of film thickness which leads to the increase of contact resistance. The estimated failure rate value can be given at different environmental conditions,and some of the factors affecting the reliability are taken into account. Accelerated degradation test(ADT) was conducted on GJB599 III series electrical connector. The failure rate prediction model can be simply formed and convenient to calculate the expression of failure rate changing with time at various temperature and vibration conditions. This model gives an objective assessment in short time, which makes it convenient to be applied to the engineering.     

Approach for Reliability Evaluation of Cross-Linked Polyethylene Under Combined Thermal and Vibration Stresses

Based on Wiener process model, a new approach for reliability evaluation of cross-linked polyethylene(XLPE) is proposed to improve the lifetime evaluation reliability of XLPE under multi-stressing conditions and study the failure probability distribution. In this paper, two accelerated aging tests are carried out under combined thermal and vibration conditions. The volume resistance degradation data of XLPE samples are tested with a24 h interval under the accelerated stressing conditions at(130℃, 12 m/s~2) and(150℃, 8.5 m/s~2), respectively.Nonlinear degradation data obtained from the experiment are transformed to linear intermediate-variable values using time scaling function, and then linearized degradation data are calculated and evaluated on the basis of linear Wiener process model. Considering traditional Arrhenius equation and inverse power criterion, parameters of the linear Wiener model are estimated according to the maximum likelihood function. The relationship curves on probability density and reliability are given, and the lifetime distribution of XLPE under different stressing conditions is also obtained for evaluating the reliability of XLPE insulation. Finally, the life expectancy of XLPE is 17.9 a under an allowance temperature of 90℃ and an actual vibration acceleration of 0.5 m/s~2. The approach and results in this paper may be used for reliability assessment of high-voltage multiple samples or apparatuses.     

基于随机森林算法的电力系统暂态稳定性评估

利用随机森林算法,通过组合多棵基于随机向量的决策树对电力系统的暂态稳定性分类,提出了一种暂态稳定评估模型.在IEEE 16机和IEEE 50机测试系统进行的仿真验证了该模型对暂态稳定评估的有效性,其评估性能较经典决策树算法、人工神经网络、支持向量机和K最近邻方法均有提高.     

Optimal Burn-in and Preventive Maintenance Modeling with Competing Failure Processes

In this article, we assume that the product in the burn-in procedure only experiences continuous smooth degradation process, while in the field operation period the product experiences both continuous smooth degradation process and shock process. The shock process can cause the product not only traumatic failure,but also additional abrupt degradation damage. After the system reliability model and maintenance model have been proposed, the optimal burn-in setting and age replacement duration are obtained under the considering of minimizing the long run average cost rate. A numerical example with the real data is analyzed to illustrate the application of the model.     

基于动态贝叶斯网络的列控中心可靠性及可用性评估

为解决共因失效、动态失效及恢复机制等问题,本文基于动态贝叶斯网络对联锁车站和中继站列控中心可靠性及可用性进行评估.在分析列控中心系统结构的基础上构建系统动态故障树,并将动态故障树转化为动态贝叶斯网络,实现结构学习和参数学习.通过动态贝叶斯网络正向推理得到两种类型列控中心可靠度和可用度并进行比较分析.通过动态贝叶斯网络反向推理得到列控中心系统薄弱环节.研究系统敏感性因素并讨论恢复机制对系统可靠性及可用性的影响.结果表明：考虑共因失效的联锁车站和中继站列控中心的稳态可用度分别为0.999 960和0.999 977;电源及驱动采集单元为系统薄弱环节,需要重点关注.该方法能有效提高列控中心智能维修维护水平.     

Reliability Copula Model for Wind Turbine Gearbox Based on Failure Correlation

On the basis of each gear’s failure correlation, the reliability Copula model of a wind turbine gearbox is established and a 1.5 MW wind turbine gearbox is taken as the research object. Firstly, based on the dynamic reliability model of mechanical parts, each gear’s life distribution function of a wind turbine gearbox is obtained.The life distribution function can be used as the marginal distributions of the system’s joint distribution. Secondly,Copula function is introduced to describe the failure correlation between parts, and the appropriate Copula function is selected according to the shape characters of Copula probability density function. Finally, the wind turbine gearbox system is divided into three parts according to the failure correlation of each gear. The Sklar theorem and the thought of step by step analysis are used to obtain the reliability Copula model for a wind turbine gearbox based on failure correlation.     

管片衬砌可靠度分析实用方法研究

由于盾构隧道管片衬砌结构形式的特殊性,可靠度分析中仅采用截面承载力极限状态方程作为功能函数不够全面,故文中提出管片可靠度分析应采用双功能函数,即增选管片裂缝宽度控制方程作为第二功能函数.考虑到随机变量的非正态分布和功能函数的高度非线性,常规一次二阶矩法精度较低,提出采用映射变换和二次二阶矩相结合的方法进行管片衬砌可靠度分析.实例表明：双功能函数相互补充,可保证结构的安全可靠,映射变换和二次二阶矩结合分析法清晰简便,能较好地解决功能函数高度非线性、随机变量非正态分布等问题.     

Speckle reduction based on contourlet transform using scale adaptive threshold for medical ultrasound image

A new speckle suppression method in contourlet domain was presented. By modeling the subband contourlet coefficients of the ultrasound images after logarithmic transform as generalized Gaussian distribution (GGD), we gave a scale-adaptive threshold in Bayesian framework. Experimental results of both synthetic and clinical ultrasound images show that our method has a better performance on speckle suppressing than the wavelet-based method while well preserving the feature details.     

圬工拱桥承载力可靠度分析

针对拱式桥结构体系中的主要受力构件 拱肋进行分析,借鉴拱桥设计中的"五点重合法"确定研究截面,并对该截面进行不利布载.对每一种荷载布置型式,采用荷载增量法进行拱桥结构失效模式的寻找和截面抗力的计算.给出其承载力可靠度功能函数,推导功能函数中结构抗力和作用效应概率模型,并利用改进的一次二阶矩法计算圬工拱桥承载力可靠度指标评估值.最后给出实桥验证算例.     

基于KDE及Markov的高速列车传动系振动评价及可靠性分析

为研究高速列车运行过程中传动系的振动情况及可靠性，对CRH3型高速列车传动系关键部件的振动加速度数据进行实车采集，采用核密度估计（KDE）法对采集数据统计处理，得出各关键部件在各方向上振动响应的概率密度函数近似曲线，据此对传动系的关键部件进行振动评价；通过MATLAB计算各关键部件振动加速度的最优置信区间；对传动系及传动系的关键部件定义“安全”和“故障”两种状态，建立关键部件的威布尔比例失效率模型及传动系的Markov状态转移模型，以传动系当前状态为初始状态，基于实时故障率及维修率分析传动系可靠性的变化. 研究结果表明:传动系中轴箱轴承、齿轮箱以及电机轴承的垂向振动最强，振动加速度集中分布在25倍、20倍、10倍重力加速度范围内，概率99.75%的均方差值分别在20.5026倍、17.6712倍、11.4693倍重力加速度内；计算得到各关键部件振动加速度概率为99.75%的最优置信区间，为系统的振动监测阈值优化及故障评估提供参考；故障率及维修率是影响传动系统状态概率的关键因素，当故障率增加30%时，系统的状态概率约下降10%，当维修率由0.05提升至0.10时，可使系统的可靠性提高20%.      

Reliability Analysis of Systems with Common Cause Failure Based on Stress-Strength Interference Model

Many mechanical systems have the characteristics of multiple failure modes and complex failure mechanisms. On the basis of stress-strength interference (SSI) model, this paper takes the mechanical system with common cause failure (CCF) as the research object. The relationship between the stress distribution and the strength distribution is studied, and the failures of components are independent of each other under the deterministic stress. Then, the concept of conditional reliability is introduced to build the system reliability models under the action of one-stress and multi-stress for both series and parallel systems. Finally, the corresponding properties of the proposed methods are discussed to show their advantages.     

网络化SCADA系统调度端设计及可靠性分析

提出了一种高性能网络化ＳＣＡＤＡ系统调度端的设计方案，给出了其硬件结构图及网络软件设计框图，并建模分析了系统可靠性，该设计方案已成功地应用了于京郑线及湘黔线ＳＣＡＤＡ系统。