Numerical analysis reveals stable operation and minimal transmission error in mismatched worm pairs, suggesting improved meshing characteristics.
Cylindrical worms are sensitive to errors; mismatch can solve this problem. However, applying the finite element method to calculate the meshing characteristics of mismatched worm pairs has several limitations. Therefore, the meshing theory of mismatched ZN-type worm pairs is established using a numerical method. The contact equation of the mismatched ZN-type worm pair is solved numerically, and the error curves of the worm gear angle, transmission ratio, and worm gear angular velocity are obtained. The influence of different mismatched parameters on meshing conditions is studied, and the research results can guide how to configure different mismatched parameters. The results show that the mismatched ZN-type worm pair has a small transmission error, slight angular acceleration, stable operation, and good meshing characteristics. The numerical method has good reusability, which is more conducive to observing the influence of related factors on mismatch.
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Zhao et al. (2025) studied this question.
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