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

Abstract

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.

Modelling of the gear backlash

“…Exemplary results showing the system response in the time domain plotted in navy blue represent a solution in which the backlash characteristics are approximated by a logarithmic function (9). However, the time sequence marked in red corresponds to the backlash modelled with the discontinuous function (5). The width of the time window in which the system response was observed was determined to be equal to 20 periods of excitation.…”

“…The proper meshing of the gears ensures the presence of gear backlash, which is one of the main factors introducing nonlinearity. In most studies, this nonlinearity is reproduced by a discontinuous function containing a socalled dead zone [5], or a straight broken line [6,7]. When designing gearboxes, the value of backlash is assumed to be 0.04 of the tooth module.…”

Oscillation of gear mechanisms of construction machines

“…For example in [10] considers modeling the disturbance of sliding friction in contact; in [11,12,13] considered the variable rigidity of the gear in the presence of multiple cracks in the stem of the tooth, with the issues of modeling and use the results to diagnose gear; In [14], a model is also considered taking into account the influence of stiffness, tooth modification, and damping due to the presence of lubrication between the teeth; in [15], the nonlinear dynamics of variable gearing stiffness and a method for solving such a problem are considered; the article [16] is devoted to the solution of a nonlinear model of gear transmission operation with backlash and internal and external perturbation. There are works devoted to reducing the dynamic loads in gears, for example, by changing the malleability of the teeth [17] or modifying the engagement and rigidity of the gearbox housing [18]. The article [19] notes the importance of determining the dynamics of gears at the stage of their design and provides some critical review of methods for modeling dynamic systems.…”

Numerical Modelling of Toothed Gear Dynamics

“…Its presence ensures that the meshing wheels are free to mesh and demesh. Most often, it is modelled using non-linear functions with a so-called dead zone [12,24]:…”