At present, the gear transmission devices in China's nuclear power, wind power and other large-scale energy devices mainly rely on imports. The design and production of domestic gear devices cannot meet the requirements for the use of large-scale energy devices such as nuclear power and wind power. Therefore, research on gear transmissions in large-scale energy devices such as nuclear power and wind power will help accelerate the autonomy of China's large-scale energy equipment technology and accelerate the construction of large-scale energy installations in China.

Fuzzy Reliability Design Reliability design is a problem that deals with the randomness of design variables, and then gives the probability that parts will not fail. Reliability, but there is ambiguity in the failure criteria of some parts. In this case, it needs to be solved by fuzzy mathematics. Fuzzy mathematics is a mathematics created by American cybernetician Professor LAZadeh in 1965. It also compensates for the shortcomings of deterministic mathematics. The reliability obtained by combining fuzzy mathematics with reliability theory is fuzzy reliability, which is actually the result of mutual penetration between fuzzy mathematics and probability theory, so that the calculated reliability results of parts are more in line with the actual situation.
In the domain U, if X is a continuous random variable, f(x) is its probability density, and fuzzy subset A represents a fuzzy event, then according to the definition of the fuzzy random event probability [4], the probability of the fuzzy event is: P(A)=Q]-]LA(x)f(x)dx(1) where: LA(x) membership function refers to the degree of membership in the intermediate transition zone that is fully permitted to be completely unusable. The law of change.
The membership function of each fuzzy constraint should be determined according to the nature of the constraint and the specific design requirements. In the mechanical reliability design, the household ladder often adopts the membership function of the ring type, such as the subordinate function of the lower half rectangle, the lower half trapezoid, the lower half normal and the lower half of the west distribution. The half-trapezoidal membership function is used in this paper.
The main failure modes of gear transmission are tooth surface pitting and gear tooth bending. The distribution law of contact stress and bending stress is still dissent, and the contact stress and bending stress obey the normal distribution law.

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