Research On The Analysis Method Of Planetary Gear Trains Based On Topology Theory And The Load Sharing Characteristic Of Multistage Planetary Gear Trains Of Wind Generator Gearbox

Topology theory is the basis for researching,analyzing and innovating planetary gear trains.In the study of planetary gear trains by traditional topological theory,due to the high abstraction of topology graph and the excessive weakening of elements,it can not clearly reflect the relationship between the components and the discrimination of components are relatively fuzzy,and the isomorphism identification and the kinematic analysis of topology graph of the planetary gear trains are more complicated.Furthermore,the wind generator gearbox is a typical multistage planetary gear transmission,due to the randomness of wind speed,the load distribution on planetary gear is difficult to be balanced under alternating load,it will be cause vibration and noise which seriously affect the reliability and service life of wind turbine.Focusing on the graphic symbol representation of the planetary gear trains and the load sharing characteristic of multistage planetary gear trains of wind generator gearbox,the following work is carried on in this paper:(1)Graphic symbol representation of planetary gear trains.Aiming at the ambiguity in the description of the overall structural features,kinetic characteristics and component discrimination of the planetary gear trains with various existing graphical representations method.In this paper,the perfect graphic symbol and topological evolution method are proposed that can more clearly describe the topology graph of the structure and the motion of the planetary gear trains,and the validity of the graphic representation method is analyzed with examples.(2)The configuration and isomorphism identification of multistage planetary gear trains based on graphic symbol representation method.Based on the graphical symbol representation method,the structural topology graph of the planetary gear trains is converted into the adjacency matrix,and the one-to-one correspondence between the planetary gear trains and the adjacency matrix is established.The configuration synthesis of the multistage planetary gear trains is transformed into the operation of the adjacency matrix,and the configuration diagram of the multistage planetary gear trains is deduced through topology inversion.At the same time,the Hamming matrix method is proposed to detect the isomorphism among the configuration schemes of multistage planetary gear trains,and it is compared with the classical eigenvalue and eigenvector method to verify the accuracy.(3)Analysis of load-sharing behavior of the multistage planetary gear train: effects of random wind load.Taking the two stages planetary gear + one stage parallel shaft gear transmission system of the wind generator gearbox as the investigation object.Firstly,a random wind model is built by using the two-parameter Weibull distribution,and the time-varying wind load is obtained which as external excitation of transmission system.Then,considering the internal excitation,such as mesh stiffness,mesh damping of gear pairs and the meshing error,a dynamic model for the transmission system is built by using the lumped parameter method.And the dynamic differential equation of the transmission system is derived by using the Lagrangian equation,and the expression form of the matrix parameter is given.Finally,the dynamic load sharing coefficient is introduced to evaluate the load sharing characteristics of the transmission system.By reducing the order of differential equation and considering the internal and external excitation,the load sharing coefficient of each planetary gear pair of the transmission system under the rated input speed and time-varying input speed is respectively simulated and analyzed by using numerical analysis method.(4)Finally,the deficiencies of the research work are summarized and the possible future research directions are prospected.