Load Distribution and Tooth Root Stress of Bevel Gear

Determining the load distribution on a contact line of a bevel gear and root stress distribution is very important on strength design. However, it is not easy to request them, because the mesh is three-dimensional and tooth thickness and height of tooth become large from the toe through the heel unlike a cylindrical gear. Therefore, before load distribution and root stress distribution are requested, approximate equations of deflection-in-fluenced functions and the bending moment-influenced functions of a tooth of a bevel gear were determined by using the three-dimensional finite-element method in a previous report. In this report, integral equations including the approximate equation of the deflection-influenced functions are solved, and the load distribution on the contact line of a tooth of a bevel gear is calculated. Furthermore, tension-side root stress is calculated by using these load distribution and approximate equations of the bending moment-influenced functions. These calculated values were compared with measured values, and validity of this calculation method was examined.