Solutions for contact problems applied to bevel gears

The article presents solutions to flat contact problems applied to straight-tooth bevel gears, considering both linear and nonlinear dependencies between elastic displacements of the teeth and the resulting stresses. Maximum contact stresses and contact patch dimensions are determined, accounting for both linear and nonlinear relationships between elastic deformations of the teeth and stresses. These solutions are based on a novel contact strength theory. It is demonstrated that the load capacity of bevel gears, considering contact stresses and nonlinear dependencies between elastic deformations and stresses, increases by 1.113 times.