Three-dimensional Modeling And Tooth Meshing Bevel Gear Drive Of Double Circular Arc Simulation And Analysis

As a new type gear transmission, double circular arc profile bevel gearing carries out its transmission by means of meshing between convex-concave tooth profile in both of the direction of tooth trace and the direction of tooth depth, so it has advantage of high load capacity, long service life, easy forming hydrodynamic oil film between teeth as well as high quality of running-in etc. Therefore, more attention has been paid to its application and research in recent years.In this dissertation, first, based on the theory of W-N gearing, characteristic of tooth profile as well as the processing principle of helical bevel gear, a cutting meshing analysis about double circular arc profile bevel gear was carried out, the equation of meshing in the process of cutting tooth, the surface equation of generating gear as well as the general tooth surface equation of double circular arc profile bevel gear were obtained. Which established a foundation for building three-dimensional model of double circular arc profile bevel gear.Second, based on works mentioned above, an interactive graphic system, i.e. an interactive parametric three-dimensional model-building software about double circular arc profile bevel gear were established according to computer graphics, C language, VC++ language, AUTOLISP programmed and CAD technology, in which, language C completed complicated calculation, AUTOLISP language finished model-building, VC++ language accomplished the generation of program interface. In parametric interface of this software, there is not only the editor frame of every parameter but also the standard schemes of double circular arc profile and the structural scheme of bevel gear .We can design the gearing according to the schemes efficiently. On the other hand, after clicking corresponding button, we can get the three-dimensional model at once. Simultaneity it can generate the three-dimensional model of corresponding gear in a minute after by directly inputting gear parameters and the parameters of tooth form, which could prove that the general tooth surface equation of double circular arc profile bevel gear obtained above was correct.In the solid model building program, based on the cutting tooth theory of double circular arc profile spiral bevel gear and AutoCAD software, a series of computer simulations about solid model building and cutting tooth process of the gear were curried out. The cutter's tooth shape, the processed gear blank shape and its conjugated tooth profile shape as well as visual movement relationship between generating gear and processed gear blank etc. were obtained. The relative position of cutter and processed gear as well as the movement trace and rule in the cutting process can be showed dynamically on screen.Finally, by means of comparing the theoretical tooth surface equation with the tooth surface equation included errors of cutter position and cutter position angle, the quantitative analysis of the theoretical tooth shape and the tooth shape considering the errors of cutter position and cutter position angle was curried out based on the software above. From which, the effect of errors of cutter position as well as cutter position angle on the processed tooth shape and transmitting behavior of this kind of gearing was studied.