Now the reliability failure mode analysis of the supple mechanism and its parts is mostly for a single fatigue failure

so the reliability accuracy results obtained will inevitably be biased. In order to improve the reliability of the supple mechanism and its accuracy

with the micro-displacement amplification mechanism as the research object

the supple mechanism multi-failure mode reliability analysis model is established to consider the multi-failure mode situation of the reliability analysis and sensitivity analysis

in which the FORM algorithm is introduced to obtain the failure mode correlation coefficient matrix that allows system reliability to take into account the degree of correlation between failure modes. The system reliability model solution is converted into multidimensional normal integral

and the reliability analysis and sensitivity analysis of the multi-failure mode situation are analyzed by G-PCM method. The importance ranking of each failure mode and random variable is also given

which is conducive to determining the targeted method of reliability optimization of supple mechanism. The experimental results are compared with the Moon Carlo method to prove the accuracy of the method.