Structural Finite Element Analysis Of Symmetrical Nutation Drive With Spatial Petal Tooth

Symmetrical nutation drive with spatial petal tooth is a new type of space gear drive developed according to the principle of nutation drive,which has the advantages of compact structure,small size and strong load capacity,and has a wide application prospect in high-power transmission fields such as submarine and shield machine.In this paper,the theoretical analysis of the symmetrical nutation drive with spatial petal tooth is carried out,and the main contents are as follows:The transmission ratio of the transmission is calculated by the angle difference method,and the transmission principle,basic structure and tooth surface forming principle are analyzed.The derivation of tooth surface equations and tooth surface boundary conditions was also completed.The basic parameters of each gear are calculated with the help of Matlab software based on the formation conditions of the spatial petal tooth surface and the dimensional limits,and then the three-dimensional model of the transmission is established,and the kinematic simulation is carried out by Adams software to verify the correctness of the model design.According to the Hertzian elastic contact theory and combined with the meshing characteristics of the symmetrical spatial petal gear,the contact stress values of each tooth face were analyzed and calculated;in order to improve the accuracy of the contact analysis,the simplified model was divided into hexahedral meshes by using the finite element preprocessing software Hypermesh,and the analysis of the contact stress of each tooth face was completed by using the finite element software ABAQUS,and the distribution law of the contact stress of each tooth face was obtained.The distribution law of the contact stresses on each tooth surface was obtained,and the number of teeth involved in the meshing when each tooth surface is in contact was studied,and comparing the calculation results of the two methods,the difference of tooth surface contact stresses between the fixed surface gear and the fixed side planetary gear was 10.5%,and the difference of tooth surface contact stresses between the rotating surface gear and the rotating side planetary gear was 12.8%.By analyzing the free and constrained modes of each gear according to the finite element modal analysis method,the inherent frequencies and vibration patterns of the first ten orders of each face gear are extracted,and the constrained mode analysis is more consistent with the actual situation by comparison.Through the harmonic response analysis of the rotating face gear,the peak frequencies of the vibration prone gears are obtained to lay the foundation for the next structural optimization.