a This paper presents a reliability analysis method on repairable system with standby structure based on goal oriented (GO) methodology. Firstly, a new combination of GO operator, which is composed of a new logical GO operator named Type 18A operator and a new auxiliary GO operator named Type 20 operator, is created to represent standby mode. The availability formula of standby equipment with translation exception is deduced based on Markov process theory. Then, the application method of combination of GO operator for standby mode and the analysis process of repairable system with standby structure based on GO method are proposed. Thirdly, this new combination of GO operator is applied in availability analysis of the hydraulic oil supply system of power-shift steering transmission. Finally, the results obtained by the new GO method are compared with the results of fault tree analysis, Monte Carlo simulation, GO methods using Type 2 operator and Type 18 operator to represent the standby mode, respectively. And the comparison results show that this new GO method is applicable and reasonable for reliability analysis of repairable system with standby structure. All in all, this paper provides guidance for reliability analysis of repairable systems with standby structure.

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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.

GO methodology is a success-oriented method for system reliability analysis. There are Multiple-Input, which contain control signal, oil provided and electrical signal et.al and MultiFunction Components (MIMFC) in some repairable systems, such as double-action variable displacement pump, multiple directional control valve, and hydraulic coupler etc. Because existing 17 basic GO operators in GO methodology can’t describe these MIMFCs accurately, it is a problem to adopt existing GO methodology to conduct the reliability analysis for these systems with MIMFC. In this paper, firstly 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-conditions control signals of MIMFC. Then, quantitative calculation formulas of new GO operator combination are derived based on logical relationships among inputs, outputs, and component itself. Thirdly, this new GO operator combination 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 method in this paper are compared with the result of Fault Tree Analysis (FTA) and result of Monte Carlo simulation, and the comparison results show that this new GO operator combination is usable and correct for reliability analysis of repairable system with MIMFC, and it has more advantageous in the aspects of building system model and quantitative analysis. Meantime, this paper provides guidance for reliability analysis of other repairable systems with MIMFC.

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