Abstract
Abstract
The hybrid squeeze-film damper bearing is proposed in this article. The pressure distribution and the dynamics of a gear pair supported by such bearing are studied. Numerical results show that, due to the non-linear factors of lubricant film force, the trajectory of the gear demonstrates a complex dynamics with rotational speed ratio s. Poincaré maps, and bifurcation diagrams are used to analyse the behaviour of the gear trajectory in the horizontal and vertical directions at s = 6.0. The maximum Lyapunov exponent is used to determine if the system is in a state of chaotic motion. Numerical results show that the maximum Lyapunov exponent of this system is positive at the non-dimensional speed ratio s = 6.0, which indicate that the gear trajectory is chaotic under such operation condition. In order to avoid the non-synchronous chaotic vibrations, an increased proportional gain k p = 0.1 is applied to control this system. It is shown that the gear trajectory leaves chaotic motion to periodic motion in the steady state under control action.
Get full access to this article
View all access options for this article.