Dynamic Reliability-Based Optimization for the Graduation Precision of End Gear Tray

The graduation precision of the end gear tray directly affects the accuracy of the whole tool. By considering the multiple error factors, a graduation precision error model of the end gear tray is established. Then, its dynamic reliability is firstly analyzed by both First-Order-Second-Moment and Second-Order-Fourth-Moment. Besides, the dynamic reliability-based sensitivity and the influence of the parameter variations on the reliability are analyzed. Especially, based on sensitivity analysis, the dynamic reliability-based optimization design is carried out. The result shows that not only the dynamic reliability of the end gear tray graduation precision is greatly improved by optimization, but also the sensitivity of the random parameters is minimized on the premise of reliability assurance, and the volume and the manufacturing cost are both greatly reduced. Finally, Monte Carlo simulation is adopted to test the optimization results of the end gear tray and the result proves the practicality and accuracy of the proposed method.