Dynamic stability analysis of gear transmissions

Abstract

In this paper dynamic stability of spur gear transmissions induced by mesh stiffness variation is numerically investigated. The obtained results were compared with experimental results presented in the references [5],[6] and [7]. It was found a good agreement with the experimental resonances in the sub critical, critical and super critical range. The equation of motion was obtained by reducing the gears system at the line of action and is presented as a Mathieu’s equation. The parameter of this equation was considered the fluctuation of mesh stiffness modeled as a harmonic function. The dynamic stability of the system was determined for various values of the ratio: mesh frequency/natural frequency of the system.