Research On The Kinematics And Dynamics Of Non-circular Gears

Mechanical transmission gear is one of the most common form, it is mainly used to transmit rotary motion between two shafts, the transmission ratio can be a constant or a variable. In real life, the production of more extensive application of circular gear, the gear ratio is constant, round the curve section. These features have been far from satisfying drive demand in certain situations, so people on the basis of circular gear proposed the concept of non-circular gears.This paper analyses the kinematics and dynamics of the non-circular gear comprehensivly, to improve further the kinetic theory of the non-circular gears, but also for the further study of the non-circular gears and to provide a theoretical reference and methods. The shapes of each tooth of the gear is different, so the transmission meshing characteristics of the non-circular gear are more complex than the circular gears, such as meshing line direction, pitch curve to the radius value, such as tooth profile equation are time-varying. Because the impact of these factors, some dynamic characteristics of the non-circular gears are different from the circular gear. This paper summarizes the basic laws of non-circular gear, and detailed analyse the instantaneous center line, speed ratio, conjugate tooth curvature relations aspects pressure angle, the transition curve and so on. Tooth root transition curve and cut boundaries of the non-circular gear are analyzed. Tooth root transition curve is the top curve of the blade outer envelope, and under certain conditions, the department may produce undercutting phenomenon. Taking into account the tooth profile characteristics of the non-circular gear, the effect of the different root transition curves for non-circular gear tooth root stress is analyzed. The non-circular gear transmission is simulated with ADAMS, to analyze the relationship between the movement curve with the theoretical curve. The results show that this method is feasible for non-circular gear mechanism motion simulation, and the kinematics and dynamics of the non-circular gear can be analyzed by this mothed. In this paper, the transmission characteristics of the non-circular gears is obtained with analyzed the indexing curve. The precise three-dimensional model of the oval gear is built with Pro/E. The relationship of the elliptic curve gear movement angular velocity and time is obtained through the oval gear meshing kinematics simulation analysed with ADMAS, and that is analysed and compared with the theoretical curves. Ultimately, the movement law of the oval gear is got. Finally, the establishment of the dynamic model of the oval gear that is torsional vibration analysis model is established, and the modal of the oval gear and higher-order elliptical gear are analysed with ANSYS. The mechanical properties and dynamics characteristics of the elliptical gear are analysed with the above relevant theories and methods. This includes explores the dynamic characteristics of the oval gear transmission which has the different structural parameters, such as speeds, damping, modulus, eccentricity, etc.The method that is the kinematics analysis of the non-circular gear meshing transmission, can provide a reliable and effective research results to design the non-circular gear. That can be optimized design, eliminate or reduce the inertial forces by components generated, reduce mechanical vibration and noise pollution, improve overall system performance and mechanical service life.