Reliability analysis on one type of hydraulic motor in the case of introducing failure

To solve an aggressive problem of directly using zero-failure data to analyze the reliability of the equipment, the data was comprehensively processed by introducing the failure information, and the reliability parameters could be estimated more reasonably. Taking a certain type of missile hydraulic motor whose life expectancy was exponentially distributed as an example, the Expected Bayes (E-Bayes) estimation of the failure rate in the case of zero-failure data was proved when the prior distribution of the failure rate was the Gamma distribution and the hyper-parameters were uniformly distributed. An improved method was proposed to determine the censoring test time. By introducing the failure information, the comprehensive E-Bayes estimation method of failure rate was derived, and the comprehensive estimation method of the reliability was given. For zero-failure data of the hydraulic motor, the comprehensive E-Bayes estimations of the failure rate and reliability are calculated. Compared with the existing methods, the range between the two is reduced by 22.33% and 38.02%, respectively. The computation results indicate the reasonability and availability of the proposed method.