Dynamic characteristics of a spur gear transmission system for a wind turbine

A nonlinear dynamic model of a spur gear transmission system is developed with consideration of gear mesh stiffness, backlash, internal and external excitation. Lagrange equation is used which is derived for the vibration of the drive system differential equations. Time process diagram, frequency spectrum and phase diagram of the spur gear pair system are obtained by using the numerical method. The gear dynamic behaviors are analyzed and the influences of backlash and damping coefficient are given quantitatively. The statistic analysis shows that: the response of the drive system amplitude increases, the enhancement of vibration with the increase of backlash. The solution to the problem provides a reference for inherent characteristic and dynamic response for wind turbine gearbox transmission system.