A revised method to calculate time-varying mesh stiffness of helical gear

J. Zhu,Xiao Wu,Qinmin Li,Juanjuan Shi,Yang Luo

doi:10.1051/matecconf/202235501005

J. Zhu, Xiao Wu + Show 3 more

Open Access

https://doi.org/10.1051/matecconf/202235501005

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Abstract

Time-varying mesh stiffness (TVMS) of gear plays vital role in analysing dynamic characteristic of gear transmission. So accurately evaluating the TVMS is important and essential. In this paper, a revised method to calculate the TVMS of helical gear is proposed. Based on slice method, the helical gear is sliced into pieces along the tooth width direction. The proposed method corrects the fillet foundation stiffness within multi-tooth in contact and considers the non-linearity and load-dependence of the Hertzian contact stiffness. The effect of the axial mesh force is considered. Finally, an equivalent helical gear model is established in ANSYS to study the mesh stiffness. The results show the proposed method has high effectiveness compared with FEM (finite element method).

Highlights

Gear transmission is mostly applied in motion and power transmission [1,2,3]
In view of the above, this paper proposes a revised method to evaluate the Timevarying mesh stiffness (TVMS) of helical gear
The single tooth pair TVMS of helical gear evaluated by proposed method (PM), traditional method (TM) and finite element method (FEM) is shown in figure 8(a)

Summary

Introduction

Gear transmission is mostly applied in motion and power transmission [1,2,3]. Timevarying mesh stiffness (TVMS) of gear plays vital role in gear transmission and dynamic analysis. Wang and Howard [5] used finite element method to analysis the torsional stiffness of involute spur gear. Ma et al [7] utilized the FEM to evaluate the TVMS of spur gear under tooth spalling defects. Liang et al [8] proposed three new models to evaluate the mesh stiffness of involute spur gear. Yang and Lin [9] proposed the potential energy and modelled the gear tooth as a cantilever of variable cross-section, with considering of Hertzian contact stiffness, bending stiffness and axial compressive stiffness to calculate the TVMS of gear pairs. Luo et al [13] proposed a new gear mesh kinematic model to accurately evaluate the contact position of tooth engagement and calculated the TVMS of spur gear under the perfect mounting and constant center distance deviation. The effectiveness of the results from proposed method is validated by finite element method

The TVMS of single tooth pair

B C τ y Pm Fx x θτ β0

Fy 2 2GdAx1

The total mesh stiffness of helical gear

Validation

Conclusion