Tooth Profile Geometry Modeling And Meshing Characterictic Analysis Based On The Errors And Elastic Deformation For The Toroidal Drive

Noise in the running process of the toroidal drive seriously restricts the popularization and promotion. In order to improve the accuracy of the toroidal drive and reduce the noise, this dissertation focuses the researches on the meshing characteristics analysis considering the errors and elastic deformation, tooth profile geometry modeling and processing interfenrence detections for the purpose of improving the toroidal drive meshing precision, geometric model accuracy and machining accuracy.By considering the elastic deformation and errors effects on the performance of transmission system, the toroidal drive elastic meshing theory system is established. The equations for the sun-worm and the stationary internal toroidal gear tooth profile are derived and the influences of the errors and elastic deformation on contact curves, helix angle and the derivation of curvature are analyzed. The analysis results indicate that the effect of errors and elastic deformation should be considered to improve the meshing performance of the toroidal drive in the drive system designing process.The sun-worm and the stationary internal toroidal gear tooth profiles with the complex space curved surfaces are the key parts in the toroidal drive system. Aiming at the sun-worm and the stationary internal toroidal gear tooth profile geometry modeling problems, the discrete modeling numerical method for the tooth profile of stationary internal toroidal gear and the sun-worm is put forward. Two different kinds of precision grid geometry modeling tooth surfaces for the the stationary internal toroidal gear are set up and manufatured. By comparing the normal tooth profile and surface roughness with the two kinds of precision grid tooth surfaces, It can be verified that this modeling method can effectively control the surface accuracy of the stationary internal toroidal gear and the sun-worm. To make up the shortage of the discrete modeling methord for the stationary internal toroidal gear and the sun-worm, the tooth surface modeling method based on the B-spline surface interpolation error controlling is put forward. By analyzing the interpolation error, the numbers of the stationary internal toroidal gear grid nodes that meet the precision requirement are determined ultimately.To solve the tool interference problems occured in the NC machining process for the local inner concave area of the stationary internal toroidal gear with ball-end cutter, the local and global interferences detection methods for the stationary internal toroidal gear manufacturing are put forward. The changes of the local and global interference regions for the stationary internal toroidal gear are determined by selecting the different ball-end tool radius. It can be concluded that reasonale selection of tool radius can effectively avoid the interference during the stationary internal toroidal gear machining process, and this can further verify that the proposed stationary internal toroidal gear tooth surface local and global interference detection method is feasible.