The reliability of the high-speed test stand speed incremental gearbox is required to be high

and excessive operating speed is prone to multi-mode failure. To accurately assess its reliability

the failure-related reliability analysis is conducted by using the finite element analysis

the response surface method

the Monte Carlo method

and the Copula function method. Firstly

the finite element analysis considers the influence of the gear meshing position change on the stress of gears to determine the maximum value of gear stress. Secondly

using central composite design (CCD) and Latin Hypercubic Sampling (LHS)

the dispersion of gear material and load parameters is considered

reliability parameter models for three failure modes

namely tooth face contact fatigue

tooth root bending fatigue

and tooth gluing

are established. Finally

closely focusing on the failure-related problems

high-dimensional modelling is carried out by using the nested Copula functions

and the reliability analysis of a speed-increasing gearbox is carried out at the system level and the component level. The results show that the reliability analysis considering the failure correlation is more in line with the engineering reality

which is beneficial to the high reliability design of precision mechanical systems.