Abstract
Total probability method is based on stress-strength interference theory. There are four acceptable distribution types for gear (strength, stress), which are normal distribution, lognormal distribution, Weibull distribution and the smallest extreme value distribution. Based on the four distribution types, 16 different stress-strength distributions were obtained through permutation respectively. The results show that they summarize the mathematical model of reliability calculation for the gear actual failure mode and get the exact solutions of gear reliability.
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