Improved mesh stiffness calculation model of comprehensive modification gears considering actual manufacturing

Comprehensive modification refers to a modification method that simultaneously performs lead crown modification and tooth profile modification, which is widely used in precision gear manufacturing. However, there are few time-varying meshing stiffness (TVMS) models of spur gears with comprehensive modification. Based on the actual manufacturing methods and slice theory, an improved analytical model (IAM) for calculating the TVMS considering the coupling modification is established. The model does not require to use the finite element method (FEM) to determine the correlation coefficients. The IAM is compared with the published models and verified by the FEM. The results show that the IAM has higher accuracy and efficiency in the calculation of lead crown modification, tooth profile modification and comprehensive modification. The gear bearing capacity of machining method 2 is better than that of method 1. It is useful to improve the calculation accuracy to choose the number of slices reasonably according to the modification amount.

Automated summary

This study established an improved analytical model (IAM) for calculating the time-varying meshing stiffness (TVMS), which considers the coupling modification of spur gears. The IAM was compared with existing models and verified by the finite element method (FEM), showing higher accuracy and efficiency in lead crown modification, tooth profile modification, and comprehensive modification calculations.