Study on Dynamic Uncertainty and Sensitivity of Gear System Considering the Influence of Machining Accuracy

Due to the limitation of machining accuracy, the transmission performance uncertainty of mass gears must be evaluated quantitatively to provide the basis for its application in the whole machine. Based on the polynomial chaotic expansion (PCE) method, a dynamic uncertainty analysis method for gear systems with a specified precision was proposed in this paper. Combined with tooth surface contact analysis and load-bearing contact analysis, a dynamic model of the gear system was established to fully reflect the influence of typical manufacturing errors. Based on this, a PCE model was established to approximate the system dynamics model. The dynamic uncertainty of the gear system was quantified based on the PCE approximation model and the Monte Carlo method, respectively, and the computational accuracy and efficiency of the PCE model with different orders and numbers of sample points were compared and analyzed. Finally, Sobol' sensitivity indices from the PCE model of the gear system to random errors were computed, and the primary and secondary relationships of influence on the dynamic performance of the gear system were determined. The results showed that the PCE method had good applicability to the quantification of dynamic uncertainty and error sensitivity analysis of gear systems, and it had both accuracy and high efficiency.

Automated summary

A dynamic uncertainty analysis method for gear systems was proposed based on the polynomial chaotic expansion (PCE) method in this paper, aiming to evaluate the influence of typical manufacturing errors. By establishing a dynamic model of the gear system combined with tooth surface contact analysis and load-bearing contact analysis, the dynamic uncertainty was quantified using the PCE approximation model and the Monte Carlo method. The Sobol' sensitivity indices were computed to determine the primary and secondary relationships of influence on the dynamic performance of the gear system. The results indicated that the PCE method had good applicability, accuracy, and high efficiency in quantifying dynamic uncertainty and analyzing error sensitivity of gear systems.