Concave and convex modifications analysis for skewed beveloid gears considering misalignments

Abstract

The mathematical models of beveloid surface with concave and convex modifications were derived. The finite element and analytical mesh models were developed considering the shaft deformation and misalignments including pinion axial position, center distance and shaft angle errors. Then, tooth contact analysis were conducted to study the impacts of loads and misalignments on contact characteristics. Results show that the higher load applied has stronger effects for enlarging contact pattern and lowering transmission error with the concave and convex modifications. Moreover, the proposed tooth modifications can decrease the sensitivity of contact characteristics to misalignments. The shaft angle error has the greatest impact on the mesh behaviors. The contact path and pattern are prone to shift the location along tooth trace direction due to shaft angle and center distance errors. The contact stress, bending stress and transmission error are seen to increase due to these two assembly errors. Pinion axial position error does not affect the location of the contact path and pattern significantly. However, it can increase the magnitude and change the location of the maximum tooth bending stress in the axis direction. Finally, it only produces minimal effect on the contact stress, contact area and transmission error.