Improved calculation method for the meshing stiffness of modified helical gears considering tooth deformation

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (14) : 75-83.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Improved calculation method for the meshing stiffness of modified helical gears considering tooth deformation

ZHAO Dongyan，WANG Guoping，SHI Huirong*

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Abstract

The deformation of helical gear tooth will make the paired gears enter into meshing in advance or secede laggingly, where the meshing point of gear deviates from the theoretical position to produce the impact of approach or recess. The impact phenomenon of entering or exiting meshing in helical gear transmission can be reduced or avoided by using the modified tooth profiles. In this paper, a calculation model for gear meshing stiffness, length of tooth contact line and load distribution coefficient was established based on the mechanism of gear contact and the slice method, considering the contact stiffness of tooth surface and the extended meshing phenomenon caused by tooth bending deformation. The proposed method in this paper is used to study the meshing stiffness and fluctuation characteristics of helical gear under different modification parameters and external loads. Compared with the results in the literature, it is shown that the proposed method can calculate the meshing stiffness of helical gear more efficiently and accurately, and obtain the internal relationship between the meshing stiffness fluctuation coefficient and the tooth tip modification parameters and the transferred load.

Key words

Tip relief / Meshing stiffness / Helical gears / Load sharing / extended contact

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ZHAO Dongyan, WANG Guoping, SHI Huirong. Improved calculation method for the meshing stiffness of modified helical gears considering tooth deformation[J]. Journal of Vibration and Shock, 2025, 44(14): 75-83

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