Study Of Crossed Helical Gears Meshing Performance

In this thesis, the meshing and contact mathematic models of crossed helical gears was established based on screw involute tooth surface formation method, and by using vector gyration and coordinate transformation of circular vector functions and ball vector function of differential geometry and spatial mesh principle, which provides theoretical basis for tooth contact analysis.According to the digital design ideas, the 3d digitizing contact model of the crossed helical gears was established, and 3d contact tracing figure and 3d relative velocity diagram were painted using MATLAB software. a kind of quickly and accurately method of drawing crossed helical gear tooth surface three-dimensional digital model was explored and what were did in this thesis provided a research platform for involute crossed helical gears design and manufacturing.The relevant procedures draw crossed helical gears two-dimensional contact path figure, relative velocity diagram and the analysis graphics of the major axis of contact elliptic based on different basic parameter types was worked out by MATLAB graphical processing technology. Through the analysis and study, the regular of crossed helical gears basic parameters how affect the contact zones and relative velocity was concluded. The method for increasing the meshing performance in different application condition by choice reasonable parameters and design proposal was discussed. Based on the MATLAB software, the influence of assembly error for meshing performance were discussed using error simulation method. According to crossed helical gears meshing theory and processing method, two ways for decreasing the contact zones sensitivity to shaft error and the centre distance error were proposed.