Reliability coupling mechanism analyses of T-translation-type contemporaneous meta-action in CNC machine tools

In the process of reliability comprehensive evaluation based on meta-action theory, the structural interactions between contemporaneous meta-action (CMA) will have a great impact on the whole evaluation process. Therefore, it is necessary to analyze the reliability coupling mechanism between T-translation-type CMA in conducting reliability comprehensive evaluation of CNC machine tools. In light of this fact, this paper first introduces the structure and the reliability coupling reasons of T-translation-type CMA briefly. Then, the forces and deformation of the worktable movement meta-action unit under two cases that the frame deforms along the length direction and the width direction of rail are analyzed, and the dynamic models of the target meta-action unit based on a simplified single-degree-of-freedom model are constructed. What is more, the active learning Kriging-Monte Carlo simulation (ALK-MCS) method is utilized to calculate the reliability of target meta-action. At last, the rationality and effectiveness of the dynamic model and the reliability calculation method proposed in this paper are verified by numerical simulation and experiment, and the reliability coupling mechanism of T-translation-type CMA under two kinds of frame deformation is analyzed.