Reliability Analysis of Repairable System With Multiple Fault Modes Based on Goal-Oriented Methodology

Author(s):  
Xiao-Jian Yi ◽  
Jian Shi ◽  
Hai-Ping Dong ◽  
Yue-Hua Lai

This paper provides a new goal-oriented (GO) method for reliability analysis of repairable systems with multiple fault modes. First, formulas of operators describing components with multiple fault modes are derived based on Markov process theory. Second, qualitative reliability analysis of such a system is conducted by combining the existing GO method with the Fussell–Vesely method. Third, this new method is applied in reliability analysis of a hydraulic transmission oil supply system. Finally, comparing the study results with fault tree analysis (FTA) and Monte Carlo simulation shows that this new GO method is suitable for reliability analysis of repairable systems with multiple fault modes.

Author(s):  
Yi Xiao-Jian ◽  
Shi Jian ◽  
Dong Hai-Ping ◽  
Lai Yue-Hua

GO methodology is a success-oriented method for system reliability analysis. There are components with multiple fault modes in repairable systems. It is a problem to use the existing GO method to make reliability analysis of such repairable systems. A new GO method for reliability analysis of such repairable systems with multiple fault modes is presented in this paper. For quantitative reliability analysis of repairable system, formulas of reliability parameters of operators which are used to describe components with multiple fault modes in reparable systems are derived based on Markov process theory. Qualitative reliability analysis of repairable systems with multiple fault modes is conducted by combining the existing GO method with Fussell-Vesely method. This new GO method is applied for the first time in reliability analysis of a Hydraulic Transmission Oil Supply System (HTOSS) of a Power-Shift Steering Transmission under high speed condition. Firstly, the operator type and fault modes of each component are determined through systematic analysis. Secondly, GO model of the system is built. And availability of each component is computed with the above equations deduced in this paper. Then, success probability of the system is calculated respectively by the direct algorithm, modified algorithm with shared signals and exact algorithm with shared signals. And all system minimum cut sets containing all fault modes are obtained by using the new GO method. Finally, Compared with Fault Tree Analysis and Monte Carlo simulation, the results show that this new GO method is correct and suitable for reliability analysis of repairable systems with multiple fault modes.


Author(s):  
Xiao-Jian Yi ◽  
Jian Shi ◽  
Hui-Na Mu ◽  
Hai-Ping Dong ◽  
Zhong Zhang

This paper proposes a new goal-oriented (GO) method for reliability analysis of repairable systems with multiple-input and multi-function component (MIMFC). First, a new GO operator combination, which is composed of a new function GO operator and a new auxiliary GO operator, is created to represent MIMFC. The new function GO operator named as Type 22 operator is created to represent MIMFC itself, and the auxiliary GO operator named as Type 15B operator is created to represent multi-condition control signals of MIMFC. Then, GO operation formulas of the new GO operator combination are deduced based on logical relationships among inputs, outputs, and the component itself. The reliability analysis process of the new GO method is formulated. Furthermore, this new GO method is applied for the first time in steady availability analysis and qualitative analysis of the fan drive system of a power-shift steering transmission. Finally, the results obtained by the new GO method are compared with the results of fault tree analysis (FTA) and Monte Carlo simulation (MCS), and the comparison results show that this new GO method is reasonable and advantageous in reliability analysis of repairable systems with MIMFC. Moreover, the analysis process shows that it is more advantageous in the aspect of building system models and conducting reliability analysis. Overall, this paper not only improves the basic theory of the GO method and expands the application of the GO method, but it also provides a new approach for reliability analysis of repairable systems with MIMFC.


2014 ◽  
Vol 571-572 ◽  
pp. 241-244 ◽  
Author(s):  
Xiao Quan Li ◽  
Run Ling Li ◽  
Yi Jing Xie

The problems of reliability and maintainability for repairable systems are investigated in this paper, and Markov process is employed to build the mathematical models of availability and reliability for the repairable systems. Firstly, the formulas of availability and reliability for single repairable systems are deduced. Then, the repairable system with two parallel components and one standby are investigated, which is common in engineering application. Finally, simple approaches are summarized for availability of complicated repairable systems. Since the two approaches has the same result, which provides theoretical proof for the study of repairable systems’reliability and availability.


Author(s):  
Yu Pang ◽  
Hong-Zhong Huang ◽  
Yu Liu ◽  
Min Xie

A systematic reliability analysis of n-unit warm standby repairable system with k-repair facility is presented in this paper. Traditional approaches are extended under the following assumptions: (1) the working lifetime, the standby lifetime, and the repair time of failed units are represented as exponential distribution; and (2) the repair of failed units are as good as new after repair. In this paper, a general reliability analysis of an n-unit warm standby repairable system with k-repair facility is presented. Based on previous analysis, the steady-state reliability and the average availability of the system are formulated using the Markov process theory and Laplace transform.


Author(s):  
Yongjin Guo ◽  
Hongdong Wang ◽  
Hong Yi

Offshore structures are large-scale and multifunctional products with high requirements for reliability. In this paper, the reliability simulation method based on fault tree analysis for offshore structures is studied. For non-repairable systems, the Weibull distribution is used to fit the failure distribution function of the bottom events of fault trees. The Monte Carlo method is used to sample the lifetime of bottom events, and the unreliability of the top event is calculated through the structure function of the fault tree. For repairable systems, the time arrays of state changes are generated through sampling failure and maintenance time of the components. The system failure time of each simulation is calculated based on minimal cut sets of the fault tree. The method is applied in the reliability analysis of the electrical power system of offshore platforms to prove its feasibility and effectiveness.


2013 ◽  
Vol 633 ◽  
pp. 312-321 ◽  
Author(s):  
Gradimir Ivanović ◽  
Radivoje Mitrovic ◽  
Dragan Jovanovic

Transport of ground and coal at the surface coal dig in Kostolac, Serbia, is done using transportation belts (3 - 5 kilometres in length) using the systems of BTR (Bagger-Transporter-Remover) and BTM (Bagger-Transporter-Mill). The transporter belt during circular movement is suspended on carry-rollers (during transport of weight) and on support-rollers (without weight). Two or three carry-rollers, or three support-rollers make a garland. Garlands (5 carry and 3 supporting) are built into a section and they enable the movement of belt over them. The number of sections depends on the transportation system length. Reliability of these systems is governed by the reliability of the carry and support rollers. In order to determine the reliability of the BTR and BTM systems, reliability analysis of both carry and support rollers was performed using the method of Fault Tree Analysis (FTA) and Reliability Block Diagrams (RBD). In this paper the assessment of roller reliability is described using the FTA method with failure elements. The reliability function was determined on the basis of the RBD in the case where all of the constructive elements of the rollers are in operation the complex relationship, and when some of the elements are in failure mode the quasi-complex relationship.


Author(s):  
Xiaojian Yi ◽  
B. S. Dhillon ◽  
Hui-na Mu ◽  
Zhong Zhang ◽  
Peng Hou

This paper proposes a new GO method for repairable systems with multiple unstable operation states. First, multi-state signal flow and multi-state GO operator are defined, respectively. And the formula for calculating state probability of unit with multiple unstable operation states is deduced based on Markov theory. Furthermore, a new function GO operator named Type 19 is created to describe the unit stabilizing property. And its GO operation formulas for reliability analysis are deduced. On this basis, the reliability analysis process of multi-state repairable systems based on the new GO method is formulated. Then, this new GO method is applied in reliability analysis of Hydraulic Oil Supply System of a heavy vehicle. In order to verify the feasibility, advantage and reasonability of the new GO method, its analysis result is compared with those of FTA and the existing GO method for two-state repairable systems. All in all, this paper not only improves the theory of GO method, and widens the application of GO method, but also provides a new approach for reliability analysis of multi-state repairable systems.


2014 ◽  
Vol 543-547 ◽  
pp. 1091-1094
Author(s):  
Qi Lin ◽  
Yong Chen

Reliability is a research area of highly significance. It emphasizes an important analysis approach: Fault-Tree Analysis (FTA). Then a new method is proposed to collect authentic fault rate indexes, which is always the key of reliability analysis, based on technology readiness assessment (TRA). Last, it provides the quantified result of reliability analysis instance to show the usefulness of the approaches.


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