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.

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