Development of a Statistical Reliability-Based Model for the Estimation and Optimization of a Spur Gear System

In this paper, a statistical model which is based on the stress-strength theorem, has been proposed for the estimation and optimization of spur gear systems embedded (running) in a mechanical device. First the model is used for the estimation of the variation of the bending stress and the contact pressure distribution in the spur gear systems, which several studies have confirm as the main source of failure (failure modes) in the spur gear system. The optimal variation values of the stress and strength distribution as well as the reliability of the spur gear systems are then determined, via a statistical reliability analysis method embedded in model, which is otherwise refers to as the proactive approach. The proactive approach is apply mainly to evaluate and predict the system failures. The computational results from the analysis shows that, the higher the stress distribution function, the lower the reliability of the spur gear system. Also, with a distributed strength functions of 696.3MPa and a mean value of 100MPa of the spur gear system, the optimal stress values is between the range 0 to 369.5MPa. Received: 4 January 2022 | Revised: 11 March 2022 | Accepted: 16 March 2022 Conflicts of Interest The author declares that he has no conflicts of interest to this work.