Bending Strength Determination of Involute Spur Gear Using Analytical Method and FEM

The study of stresses and methods to eliminate stress in order to improve performance parameters of gears is an important aspect of modern machinery design processes. Bending stress calculation in spur gear teeth for the design purpose proposed in the traditional approach uses Lewis equation and linear theory of elasticity which is based on a uniform load distribution model. However, bending stress produced in the gear has the non-uniform load along the line of action as the primary input. So, the results obtained by a uniform load distribution model are not in agreement with the experimental results. In this paper, A non-uniform model of load distribution along the line of contact has been introduced. This model provides the load distribution on different gear teeth with the help of minimum elastic potential energy method. The Lagrangianvariational technique has been used to solve the obtained equations. This approach provides a much accurate result as compared to other traditional models. Finally, the result obtained by the analytical method is verified with the FEM result. Both results are quite comparable to each other.