Minimização da vibração de engrenamento por meio da modificação do perfil dos dentes das engrenagens cilíndricas de dentes retos

Abstract

Gears are among the oldest devices invented by man and, among the various forms of power transmission, are generally the most robust and durable, with efficiency in the order of 98%. The dynamic characteristic of a gear transmission system is an important parameter to define its quality. The variation in the number of teeth in contact during rotation of the gears has a large contribution to the vibrations of these systems. From this context derives the need to evaluate the dynamic characteristics of the gear while still in the design phase. In this paper, a study is conducted on the addendum modification in the tooth profile of gears. For this purpose, dynamic model simulations were performed in order to determine an optimal value of the modification parameter capable of minimizing the vibrations of an ideal cylindrical spur gear for the specified operating conditions, considering time-varying gear stiffness and damping, including an improvement in the equivalent mass calculation. From the comparison between the simulation results of the optimized and original system, it is concluded that the optimal modification brings the dynamic responses closer to the static ones, with change rates close to zero and nearly constant transmission error, providing minimal vibration to the system.