Hypoid gear transmission based on local conjugate principle is a typical point meshing transmission gear. Its tooth profile is spherical involute and its tooth surface is spatial irregular curved surface, which makes the design and manufacturing principle of the gear complex. Only three companies, Gleason company in the United States, Oerlikon company in Switzerland and Klingelnberg company in Germany, have this technology. The above three companies have their own systems. Due to the blockade of core technology, the design principle of hypoid gear pair has always been an important research direction in the field of mechanical design and processing. Research on the design and machining theory of hypoid gear, the Gleason system design and machining theory developed by Gleason company in the United States has always occupied the mainstream position.
In the 1940s, Ernst. Wndhaber, a famous American inventor and consultant of Gleason company, first put forward the theory of hypoid gear. At Ernst Under the guidance of wildhaber, Meriwether L. Baxter put forward the design and manufacturing theory of hypoid gear with the help of computer in the 1960s, and designed the program of tooth contact analysis (TCA). In the ideal state, the contact area and transmission error curve of meshing gear are simulated by computer in the form of numerical calculation. Based on this, the tooth surface contact condition of local conjugate gear pair in the meshing process is analyzed, and the quantitative analysis method to determine the mismatch tooth surface contact and motion transmission condition is proposed for the first time, which provides an important basis for the correction of hypoid bevel gear design parameters and tool parameters in machining. Using computer as a tool to design gears can more widely use numerical calculation method and vector matrix theory to analyze gear meshing theory, which is of milestone significance in the history of gear development and creates a new era of gear design.
Professor F.L. Litvin, a famous scientist, focuses on the point meshing technology of curved bevel gears, improves the local conjugate principle of Gleason spiral bevel gears and hypoid gears, and puts forward the tooth surface “local synthesis” method to improve the tooth surface contact characteristics. This method analyzes the influence of various errors on the motion accuracy in detail, Based on this theory, the processing and adjustment parameters of pinion are recalculated, which further improves the meshing performance of gear pair. In addition, based on the finite element theory, Professor F.L. Litvin solved the tooth meshing condition and the contact stress of the meshing contact point under the loading condition. This method can accurately solve the parameters under the loading condition, but the calculation is complex and the amount of calculation is large. F. The research results of Professor L. Litvin have greatly improved the design and analysis theory of hypoid gear and made the meshing performance of the gear more superior.
In the early 1980s, krenzer of Gleason company of the United States carried out load contact analysis (LTCA) on the meshing gear teeth based on the tooth contact analysis theory. This method further studied the contact performance changes caused by the loaded deformation of the teeth in the meshing process, and simulated the meshing working state of the loaded teeth with a computer, The meshing contact state of hypoid gear under loading and the influence of loaded deformation on the meshing performance of gear pair are simulated.