Analysis of Dynamic Loads on Gear Teeth by Conjugato-Elasto-Dynamics (CED)

Abstract

Though the dynamic loads on gear teeth have been investigated for more than half a century, there is, so far, still a need to develop a general analytical theory, which can take into account the effect of the tangential location change of the conjugate contact point due to profile error and elastic deformation on the dynamic loads. In this paper, such a theory, which applies not only the theory of dynamics and the theory of elasticity but also the theory of conjugate surfaces [1, 2, 3] to solve the problem, and which is hence called Conjugato-Elasto-Dynamics, or simply CED, is developed and briefly sketched. Equations for determination of the dynamic loads on gear teeth are derived, which can be solved numerically by an iterative method with the aid of computer and the finite element method (FEM).