The Meshing Theory Of Less-tooth Gear Pair And The Research Of Gear Axis’ S Strength Analysis

Bilateral modification less teeth number gear pair is said to contain a less teeth number gear(number of teeth is 1 ~ 7) of involutes helical gear pair. This technology breaks through the limit of traditional gear design of the minimum number of teeth, greatly reducing the number of gear teeth, with a single stage transmission ratio, compact structure, light weight, high driving efficiency advantages. Similar studies abroad although mature applied examples of mechanical products, but due to technical confidentiality, its design theory and processing methods were not disclosed. Domestic study of this technology is not comprehensive enough, mature data can for practical application of not much. On the basis of existing research results, this study focus on the less-teeth gear pair meshing principle and the strength of the gear shaft. And by using the finite element software crack defects are analyzed the influence of the modal.First of all, bilateral modification less teeth number of gear transmission is a new kind of gear drive, the meshing characteristics of quality has a direct impact on the actual engineering application. The mathematical model of gear tooth surface through the establishment of bilateral modification less teeth number gear, according to the spatial meshing principle, deduces the normal vector of the contact point and the relative velocity, and then pushes the space meshing equation.The second, according to the concept of mechanics of materials in the polar moment of inertia, by superposition method, proposes a new method for the accurate calculation of gear with few teeth axis of polar moment of inertia for study, fewer teethed gear strength, stiffness and further optimize the less teeth number gear pair design parameters provide important basis.Third, in the bilateral modification less teeth number gear pair, due to the small gear and its axial dimension and radial size ratio(the ratio of length to diameter) River, is of a slender shaft parts. The fracture may be causing unnecessary economic losses, subject to the 2 gear with less teeth as an example; the use of ABAQUS on the stress intensity factor KI is solved. Provides the theoretical basis for determining fracture mechanics parameter test and safety performance of the follow-upFinally, the use of ABAQUS finite element analysis software bidirectional displacement gear teeth do less effective modal analysis, solving its natural frequency, and the impact of their gear in different locations of cracks were analyzed and numerical comparison. Its optimal design, dynamics and noise studies and troubleshooting provide a favorable reference.