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Some remarks on the hazard functions of the inverted distributions 关于倒分布的危险函数的一些注释
Pub Date : 1987-01-01 DOI: 10.1016/0143-8174(87)90057-6
Anwar Khalil Sheikh, Munir Ahmad, Zulfiqar Ali

The probability models of reciprocals of normal, Gamma and Weibull variates are called inverted normal, inverted Gamma and inverted Weibull distributions respectively. These distributions arise naturally in the study of certain stochastic processes causing wear-out failures of mechanical systems.1–4 In this paper characteristic features of the hazard functions based on this inverted class of distributions are discussed and their possible uses are explored. Hazard functions and mean residual life of inverted normal, inverted Gamma and inverted Weibull are compared with the normal, Gamma and Weibull hazards.

正态、伽玛和威布尔变量倒数的概率模型分别称为倒正态分布、倒伽玛分布和倒威布尔分布。这些分布在研究引起机械系统磨损失效的某些随机过程时自然产生。本文讨论了基于这类倒分布的危险函数的特征,并探讨了它们的可能用途。将倒正态、倒伽玛和倒威布尔的风险函数和平均剩余寿命与正态、伽玛和威布尔风险进行比较。
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引用次数: 10
An initial appraisal of the event-tree methodology used in the Angra 1 nuclear power station probabilistic safety assessment 安格拉1号核电站概率安全评价中使用的事件树方法的初步评价
Pub Date : 1987-01-01 DOI: 10.1016/0143-8174(87)90040-0
P.F. Frutuoso e Melo, J.E. Lima, L.F. Oliveira

The event-tree analyses of the Angra 1 nuclear power plant probabilistic safety assessment were performed by means of the explicit method of event-tree modelling of shared-equipment dependencies, from which some insights were drawn. At first, we discuss in this paper the effects of collapsing equal impact vectors (from the quantification point of view also). The second feature discussed is related to a critical analysis of the dependency matrix concept in view of a counterpart to it—namely, the GO methodology in the context of modelling intersystem dependencies. Finally, we discuss the possibility of using our computerized event-tree analysis methodology for assessing the unavailability of the involved standby safety systems, most of which are recognized to be noncoherent structures.

采用共享设备依赖关系事件树建模的显式方法,对安格拉1号核电站概率安全评估进行了事件树分析,并从中得到一些启示。首先,我们从量化的角度讨论了等冲击向量坍缩的影响。讨论的第二个特征与依赖矩阵概念的关键分析有关,即在建模系统间依赖关系的背景下使用GO方法。最后,我们讨论了使用我们的计算机化事件树分析方法来评估所涉及的备用安全系统不可用性的可能性,其中大多数被认为是非相干结构。
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引用次数: 0
Fitting software failure data with stochastic models 用随机模型拟合软件故障数据
Pub Date : 1987-01-01 DOI: 10.1016/0143-8174(87)90010-2
I.P. Schagen , M.M. Sallih

Examination of data on software failure reveals that models which assume continuous reliability growth are not accurate. Simulation models incorporating more realistic assumptions have given results in closer accord with the data. Both the simulation models and the real data can be fitted by a simple logistic model.

对软件故障数据的检验表明,假设可靠性持续增长的模型是不准确的。采用更现实假设的模拟模型所给出的结果与数据更为吻合。仿真模型和实际数据都可以用一个简单的逻辑模型拟合。
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引用次数: 3
An event-based multiple malfunction model 基于事件的多重故障模型
Pub Date : 1987-01-01 DOI: 10.1016/0143-8174(87)90086-2
P. Dörre

A new parametric model for common cause failure quantification in reliability analysis is described. Although formally similar to the Multiple Greek Letter model, its parameters are based on event frequencies, not on component failure frequencies. The model is defined in terms of its inputs from event data evaluation and its outputs which correspond to fault tree basic events.

提出了一种用于可靠性分析中共因失效量化的参数化模型。虽然形式上类似于Multiple Greek Letter模型,但其参数基于事件频率,而不是组件故障频率。该模型的输入来自事件数据评估,输出对应于故障树基本事件。
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引用次数: 5
Characteristics of Birnbaum and Saunders model Birnbaum和Saunders模型的特点
Pub Date : 1987-01-01 DOI: 10.1016/0143-8174(87)90004-7
Muhammad Younas, Anwar Khalil Sheikh

Fatigue failure occurs when some dominant crack or cracks in a component extend to a critical level under the application of cyclic loading. By using the theory of stochastic processes Birnbaum and Saunders proposed a probability model to characterize the time (i.e., the number of cycles) required to propagate a fatigue crack past a critical value. The model is phenomenologically quite sound and provides a probabilistic interpretation of Miner's rule. In statistical literature a thorough treatment of the model is missing. For example, no work has been reported about the renewal and related functions of this model. This paper presents: (i) a summary of some known characteristics of the model; (ii) parameter estimation methods, and K-S test statistics for the model validation; (iii) the nature of hazard function in terms of the coefficient of life variation; (iv) the renewal function, renewal rate function and variance of number of renewals in graphical form; and (v) a comparison of a typical set of various functions.

在循环荷载作用下,当构件的某些主要裂纹扩展到临界水平时,就会发生疲劳破坏。通过使用随机过程理论,Birnbaum和Saunders提出了一个概率模型来描述疲劳裂纹扩展超过临界值所需的时间(即循环次数)。该模型在现象学上是相当可靠的,并提供了对Miner规则的概率解释。在统计文献中,缺乏对该模型的彻底处理。例如,关于该模型的更新和相关功能的研究尚未见报道。本文提出:(i)模型的一些已知特征的总结;(ii)参数估计方法,以及模型验证的K-S检验统计量;(iii)以寿命变异系数表示的危险函数的性质;(iv)图形化的续订函数、续订率函数和续订次数变化;(v)各种函数的典型集合的比较。
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引用次数: 0
Contents of volume 18 第十八卷内容
Pub Date : 1987-01-01 DOI: 10.1016/0143-8174(87)90038-2
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引用次数: 0
Dominant mechanisms in stochastic plastic frames 随机塑性框架的主导机制
Pub Date : 1987-01-01 DOI: 10.1016/0143-8174(87)90025-4
L.K. Tang, R.E. Melchers

In structural system reliability analysis it is usually assumed that the elastic properties of the members are deterministic while the loading parameters and/or member resistances are assumed to be stochastic in nature. Theoretically, all potential modes of failure must be considered in an estimation of system failure probability. In reality, however, the probability of occurrence of many of these failure modes is so low, compared with the structural system failure probability, that they make only an insignificant contribution, and hence can be neglected. Thus it is usually sufficient to consider only the so-called dominant failure modes in a system reliability calculation.

For rigid frames composed of ideal plastic or elastic-plastic material the dominant failure modes of interest in the reliability assessment are drawn from the set of all plastic collapse mechanisms. Several empirical procedures have been previously developed to enumerate these dominant mechanisms with varying degree of success. Although in principle it is possible to enumerate all dominant modes relative to some criteria, in practice no method has yet proved to be applicable to large frames, and the validity of the identified mechanisms is often uncertain.

This paper proposes a modification of the existing truncated enumeration method (TEM) applied to plastic frames. An example is demonstrated, and the results compared to other methods recently developed. The results show that almost all the dominant mechanisms may be successfully found. The proposed procedure can be systematically programmed and may be applied to estimate reliability of large structural systems.

在结构体系的可靠度分析中,通常假定构件的弹性性能是确定的,而荷载参数和(或)构件的阻力是随机的。理论上,在估计系统失效概率时必须考虑所有可能的失效模式。然而,在现实中,与结构体系的失效概率相比,其中许多失效模式发生的概率非常低,它们的贡献微不足道,因此可以忽略不计。因此,在系统可靠性计算中通常只考虑所谓的主导失效模式就足够了。对于由理想塑性或弹塑性材料构成的刚架,可靠性评估中所关注的主要破坏模式是从所有塑性破坏机制的集合中得出的。以前已经开发了几个经验程序来列举这些主导机制,并取得了不同程度的成功。虽然原则上有可能列举出与某些标准相关的所有主导模式,但在实践中,还没有一种方法被证明适用于大型框架,并且所确定的机制的有效性通常是不确定的。本文提出了一种适用于塑性框架的截短枚举法的改进方法。最后给出了一个算例,并与最近发展的其他方法进行了比较。结果表明,几乎所有的主导机制都可以成功地找到。所提出的程序可以系统地编程,并可用于估计大型结构体系的可靠性。
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引用次数: 4
Reliability of Subsea BOP systems 海底防喷器系统的可靠性
Pub Date : 1987-01-01 DOI: 10.1016/0143-8174(87)90058-8
Per Holand, Marvin Rausand

A comprehensive study of Subsea Blowout Preventer (BOP) performance in the North Sea between 1978 and 1986 has been carried out to identify BOP reliability problems. Reliability of the BOP as a barrier against blowouts has been assessed together with rig downtime caused by BOP failures and malfunctions. An overall conclusion from the study is that the BOP reliability has improved significantly during the last few years.

1978年至1986年间,为了确定防喷器的可靠性问题,对北海的海底防喷器(BOP)进行了全面的研究。对防喷器作为防喷屏障的可靠性进行了评估,同时对防喷器故障和故障导致的钻机停机时间进行了评估。研究得出的总体结论是,在过去几年中,防喷器的可靠性得到了显着提高。
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引用次数: 0
Contents of volume 19 第十九卷内容
Pub Date : 1987-01-01 DOI: 10.1016/0143-8174(87)90065-5
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引用次数: 0
Development of the dynamic fault tree using Markovian process and supercomponent 基于马尔可夫过程和超分量的动态故障树研究
Pub Date : 1987-01-01 DOI: 10.1016/0143-8174(87)90108-9
Kwang Sub Jeong , Soon Heung Chang, Tae Woon Kim

The existing fault tree technique is static, whereas the proposed technique using the Markovian process can treat the fault tree dynamically.

By using the Markovian process, it is possible to model the dynamic features of the existing fault tree and to handle the dependencies on the state of the system. This conbination allows detailed consideration of component maintenance, which is normally not considered in the on/off logic of the fault tree.

The Markovian process is based on the probabilistic models. It is also characterized by the state and the time, so the system, which is composed of a number of basic events, can be described at any time by specifying its state at that time.

In the Markovian approach for fault tree, the concept of the supercomponent is introduced in order to reduce the number of system states and the size of the transition matrix. Now, a number of basic events are considered to be one component in the Markovian process.

Using the proposed dynamic fault tree analysis, a sample calculation is performed. As a result, the unavailability is much less than the value for the static fault tree analysis. Namely, the conservatism of the current analysis is excluded in this paper. The dynamic behavior of each system state and of the overall system is well analyzed. The interactions between the supercomponent tested and the supercomponent not tested are dynamically analyzed, too.

In conclusion, by using the Markovian process and the concept of the supercomponent, the size of transition matrix is reduced, and especially, the effect of the tested supercomponent on the system is dynamically analyzed.

现有的故障树技术是静态的,而采用马尔可夫过程的故障树技术可以动态处理故障树。通过使用马尔可夫过程,可以对现有故障树的动态特征进行建模,并处理对系统状态的依赖关系。这种组合允许详细考虑组件维护,这在故障树的开/关逻辑中通常是不考虑的。马尔可夫过程是基于概率模型的。它还具有状态和时间的特征,因此,由许多基本事件组成的系统,可以通过指定它在当时的状态来描述它在任何时候。在故障树的马尔可夫方法中,为了减少系统状态数和转移矩阵的大小,引入了超分量的概念。现在,一些基本事件被认为是马尔可夫过程的一个组成部分。利用提出的动态故障树分析方法,进行了实例计算。因此,不可用性远小于静态故障树分析的值。也就是说,本文排除了当前分析的保守性。对系统的各个状态和整个系统的动态行为进行了很好的分析。并对被测超构件与未测超构件之间的相互作用进行了动态分析。最后,利用马尔可夫过程和超分量的概念,减小了过渡矩阵的大小,并动态分析了被测超分量对系统的影响。
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引用次数: 4
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Reliability Engineering
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