Research The Dynamics Of Planetary Gear System Of Wind Turbine Based On Random Gear Errors

The planetary gear transmission system has larger transmission ratio,stronger bearing capacity,smaller size and more compact structure.Thus,the planetary gear transmission is widely used in aerospace,automobile,wind turbine and other fields of mechanical Engineering.Furthermore,with the development of clean energy,the wind turbine planetary gear system is researched by the domestic and foreign researchers.The manufacturing and installation gear errors of planetary gear system are random within the tolerance zone.However,most researchers study the dynamics of planetary gear system with the constant gear errors not the random errors.In this paper,the bending-torsional coupling dynamic model of the four-stage planetary gear system of wind turbine was established by using the lumped parameter method considering random manufacturing eccentric and installation gear error.Further,studying the natural frequency and dynamic characteristics of the multistage planetary gear system of wind turbine.The main research contents are as follows:1.The bending-torsional coupling dynamic model of the four-stage planetary gear system of wind turbine was established by using the lumped parameter method considering time-varying meshing stiffness,bearing support stiffness,random eccentric and installation gear error.Further,the time-varying meshing stiffness,bearing support stiffness,damp of system,external load and the probability distribution of random eccentric and installation gear error are analyzed.2.The natural frequency of the system is researched using MATLAB under the average meshing stiffness according to the principle of natural frequency.Further,the influence of time-varying meshing stiffness on the natural frequency of multi-stage planetary gear system of wind turbine was analyzed.And the dynamics equation of the system was solved by the Newmark-β method under the system was not resonance.Therefore,the vibration displacement,velocity,acceleration and dynamic meshing force of multi-stage planetary gear system of wind turbine under random error are studied.Compared the amplitude and peak-to-peak of vibration displacement under random error and maximum error.The results show that the vibration displacement amplitude and peak-to-peak value are the largest with the maximum gear errors.3.The statistical characteristics of multi-stage planetary gear transmission system of wind turbine was studied by the Monte Carlo method.Further,the influence of eccentric and installation gear error tolerance zone on the statistical characteristics of planetary gear system of wind turbine was studied.Finally,the cross-correlation between random eccentric and installation gear error and vibration displacement is investigated.4.The multi-stage planetary gear system test rig of wind turbine was built,and the vibration displacements of the ring gear of second stage and the output shaft were collected.Compared the theoretical calculation results with the experimental results,it was found that the theoretical analysis results are not different from the experimental results,within the allowable error range.Therefore,the correctness of the theoretical analysis model was verified.