A Proposal of an Efficient and Accurate Methodology for Accounting the Static Transmission Error in Epicyclic Gearset

Epicyclic gearsets are commonly used in a variety of industrial applications and while these systems offer many advantages they can also suffer from dynamic problems such as vibration and noise due to their complex geometry and multiple contact points. One important factor in understanding and mitigating these dynamic problems is the calculation of Static Transmission Error (STE). By accurately calculating STE, engineers can gain insights into the behavior of the gear system and make informed decisions regarding design changes and operational parameters to improve performance and reduce dynamic issues. Therefore, the calculation of STE is an essential tool in the design and analysis of epicyclic gear systems. In this paper a simplified but accurate methodology is proposed for the rapid computation of this important parameter. The foundation stiffness of the internal ring gear is first analyzed using a parametric Finite Element (FE) model and an analytical expression is derived. In addition, the engagement stiffness is accurately computed and used as connection element between gears. A schematization of the system using a limited number of degrees of freedom for each component is then presented along with the procedure to compute the STE using the proposed approach. Results are then obtained for a simple test case and conclusions are drawn.