Reliability Analysis Using GO Methodology and Grey System Theory

Abstract

Machining center is a complex mechatronical product. Because of numerous influencing factors on its reliability, parts of their inaccurate description and the uncertainty of its failure behaviors, it is very difficult to analyze its reliability by traditional reliability model which is based on probability theory. To solve this problem, grey system theory combined with GO method reliability analysis was presented, and sequentially a practical reliability analysis model considering various operating conditions of the components of machining center was established. The method was used in reliability analysis of hydraulic system of Tray Automatic Exchange Device (TAED) of machining center. Firstly, through a systematical analysis of hydraulic system of tray automatic exchange device of machining center, its basic structure model was summarized, and the model of GO chart for the hydraulic system was established. Then, the gray dynamic analysis for the hydraulic system was derived, and a feasible method of dynamic analysis for the performance reliability of hydraulic system was provided. Finally, the availability and correctness of this method in the analysis and reliability evaluation of machining center was verified by comparing the calculated result of this method with that of the traditional static GO methodology and the FTA. This approach provided a theoretical basis for the prevention of failures of the hydraulic system of tray automatic exchange device, the improvement of the system reliability and security, and the development of security controls.

A new reliability analysis method for repairable systems with closed‐loop feedback links

“…Mu et al proposed a new GO method to conduct reliability analysis of such systems . In addition, some reliability analysis methods based on GO method were proposed by combining with other techniques, such as the GO‐FLOW method, and the improved GO method can be combined with gray theory, matrix operations, and fuzzy mathematics Because of the advantages of GO method in terms of system modeling and quantitative operation, Yi et al applied GO methodology in reliability optimization allocation and reliability assessment of complex repairable systems firstly.…”

“…Mu et al proposed a new GO method to conduct reliability analysis of such systems . In addition, some reliability analysis methods based on GO method were proposed by combining with other techniques, such as the GO‐FLOW method, and the improved GO method can be combined with gray theory, matrix operations, and fuzzy mathematics …”

“…31 In addition, some reliability analysis methods based on GO method were proposed by combining with other techniques, such as the GO-FLOW method, [32][33][34][35][36][37][38] and the improved GO method can be combined with gray theory, matrix operations, and fuzzy mathematics. [39][40][41][42] (iii) Because of the advantages of GO method in terms of system modeling and quantitative operation, Yi et al applied GO methodology in reliability optimization allocation and reliability assessment of complex repairable systems [43][44][45][46] firstly. These studies not only improve the theory of GO method greatly, but also widen the application of GO method.…”

A new reliability analysis method for repairable systems with multifunction modes based on goal‐oriented methodology

“…Later, the reliability analysis of some engineering systems was conducted based on the above 2 kinds of GO algorithms, and the result of the exact algorithm with shared signal was shown to be closer to the true value . In addition, the GO algorithm can be developed by combining with other technologies to solve special engineering problems, such as the GO‐FLOW methodology, the improved GO algorithms combined with gray theory, matrix operation, and fuzzy mathematics The basic theory of the GO methodology has been improved for complex systems with characters including complex correlations, multistates, multiple fault modes, and closed‐loop feedback.…”

Reliability Analysis Method on Repairable System with Standby Structure Based on Goal Oriented Methodology

“…Secondly, qualitative reliability analysis of such system is conducted by combining existing GO method with Fussell–Vesely method. In addition, the reliability analysis methods were proposed by combining GO methodology with other technologies, such as GO‐FLOW methodology, the improved GO methodology combined with grey theory and matrix operation …”