The probabilistic modeling and reliability analysis of brake shoes for hoist disc brake with correlated failure modes

In view of the lack of reliability research with correlated failure modes of the hoist disk shoes, the stochastic finite element method was used to analyze the reliability of multi-failure mode under emergency braking condition of disk shoe for deep well hoist. First, the finite element model of friction pair of brake disk and brake shoe was established based on the theory of heat conduction, the stress of brake shoe was simulated, and the influence of different initial braking speeds on friction pair temperature and thermal stress is analyzed. Second, the Latin hypercube sampling method was used to perform the design of experiment and the data of the random experiment are obtained. The Kriging model was used to establish the functional relationship between the random variables and the stress and temperature of the brake shoe. Then, based on the method of saddlepoint approximation, the reliability evaluation was carried out considering stress and temperature failure. Finally, the system reliability evaluation of brake shoe considering the correlation of the two failure modes is carried out based on Frank copula.