(1) Based on the finite element method, the meshing stiffness finite element calculation model and meshing stiffness calculation method of variable hyperbolic arc gear are given, which lays a foundation for dynamic modeling and analysis of variable hyperbolic arc gear.
(2) Taking the three tooth model of a pair of variable hyperbolic arc gear as the analysis object, the specific process of calculating the meshing stiffness is given, and finally the single tooth meshing stiffness curve and the double tooth comprehensive meshing stiffness curve are obtained. The results show that, with the increase of the driving wheel angle, the single tooth meshing stiffness curve presents an arch change trend of first increasing and then decreasing; the double tooth meshing stiffness curve shows that the stiffness value in the double tooth contact area basically remains unchanged, while in the single tooth contact area, the stiffness value becomes half of that in the double tooth meshing area.
(3) The variation of meshing stiffness curve of variable hyperbolic arc gear under different loads in the same meshing cycle is analyzed. The results show that the increase of the load will increase the meshing stiffness, because the increase of the load will increase the comprehensive deformation of the tooth surface, thus increasing the contact area of the meshing area; compared with the single tooth meshing stiffness, the double tooth comprehensive meshing stiffness is more affected by the load, and the peak value of the double tooth comprehensive meshing stiffness is about twice of the single tooth meshing stiffness, so the load should be considered when calculating the stiffness curve The effect on the stiffness.
(4) The influence of different tooth line radius on the meshing stiffness curve of variable hyperbolic arc tooth line gear in one meshing cycle is analyzed. The results show that the peak value of the stiffness curve decreases with the increase of the tooth line radius, and the influence of the tooth line radius on the meshing stiffness is greater.