| In an increasingly environmentally friendly international context,more and more countries are realising the importance of natural wind power as a clean and renewable energy source that can be used indefinitely.China’s wind power-related industries are in a booming upswing,but in the wind power equipment manufacturing,China and Europe and other developed countries compared to the larger upside.In the processing and manufacturing of wind power gears,hobbing is the most commonly used processing method and tooth shape errors account for a large proportion of hobbing manufacturing errors.Errors in wind power gears will have a detrimental effect on the smooth operation of the drive train,and in severe cases damage equipment and cause economic losses.Therefore,an in-depth study of the dynamic characteristics of the planetary gear train of wind turbines,taking into account tooth shape errors,has some practical engineering value.In this paper,a 2K-H type planetary gear transmission system in a wind turbine gearbox is used as the research object,and an analysis model of the translational-torsional concentrated parameters of the planetary gear transmission system of the wind turbine accounting for the tooth shape error factor is established.The dynamic response of the system and the change of the sun wheel centre floating trajectory under the single tooth error and error coupling states are investigated.The main work carried out in the text is as follows:Firstly,in combination with the Hertz contact theory,an analysis model of the translation-torsional concentration parameters of the planetary gear train is established,the differential equations of motion of the main components such as the sun wheel,planetary wheel and internal gear ring and the matrix form of the differential equations of motion of the system are derived.The formulae for the calculation of the meshing forces of the planetary wheels of the sun wheel due to the main excitation such as tooth shape errors in hobbing manufacturing are derived,laying the foundation for the study of the dynamics of planetary transmission systems.Based on the dynamics model developed,the dynamic loads of the system are solved for taking into account the single tooth error of the sun wheel,the single tooth error of the planetary wheel and the conventional error coupling of the sun wheel and planetary wheel,and the special error coupling of the sun wheel and planetary wheel,respectively;the effects of the load moment and the input speed on the meshing force were investigated under the constant working conditions of 700 r/min at the input end and 500 N-m at the output end;also presents a comparative study of the variation of the central floating trajectory of the solar wheel under each error.The paper comes to the main following conclusions: With the inclusion of tooth shape errors in the solar/planetary wheel,there is a sudden change in the engagement force at the point of engagement of the error teeth,and the edge frequency effect is prominent at the engagement frequency and its multiples in the engagement force spectrum,low frequency components appeared at low frequency,but no obvious amplitude was found;the magnitude of the fluctuations incorporating the second order error in the sun wheel is 96% higher than the original condition,except for the right tooth cutting error at most,and the first order intra-involute error also contributes significantly to the fluctuations in dynamic load;compared with the original working conditions,the dynamic load subject of error coupling(conventional error coupling +special error coupling)is basically unchanged,and the amplitude of dynamic load is increased compared with that of the same form error of solar wheel;the amplitude of the dynamic loads coupled to the errors remains essentially the same and increases compared to the amplitude of the dynamic loads that account for the same form of error in the sun wheel;the variation of the engagement force at the point of engagement of the special error coupling with the load torque is essentially the same as the fluctuation in the same form of error accounted for in the sun wheel;the central floating trajectory of the error-coupled solar wheel essentially follows the central floating trajectory of the same form of error in the solar wheel. |
