In this paper, the Gamma process is used to describe the change of cutting force coefficient and analyze the time-varying stability of chattering, and then the time-varying reliability model of chattering of turning machining system is established. The optimal Coupla function model is selected by the AIC criterion, and the reliability analysis of the turning machining system is carried out by using the Monte Carlo method and the VC-MCS method which introduce the Coupla function, and at the same time, the fuzzy factors of the turning machining process are taken into consideration, and the fuzzy optimization mathematical model of turning machining is set up with the goal of the lowest machining cost, and then the model is solved by using the multi-objective particle swarm optimization algorithm, which realizes the fuzzy optimization in the aerospace manufacturing. Then the model is solved using a multi objective particle swarm optimization algorithm to realize the reliability optimization of turning machining process in aerospace manufacturing, and the fuzzy optimization mathematical model of turning machining is experimentally verified by taking common plane milling and cylindrical turning as an example. The experimental results show that the analysis results of the VC-MCS method and the Monte Carlo method with the introduction of Coupla function are almost the same, which verifies that ignoring the correlation between the parameters affects the turning reliability results, and secondly, the turning machining system operates well at full rotational speeds when the turning width b=0.63mm. Finally, according to the case results, the effectiveness and feasibility of the proposed optimization method is proved, which can provide certain optimization objectives for improving the efficiency of turning machining.
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