Development status of strength analysis of spiral bevel gears in China

In China, many scholars have also made beneficial contributions to the strength research of spiral bevel gears. For example, Yang Shenghua and others studied the application of general contact element in the calculation of gear tooth deformation and contact stress through contact simulation analysis, discussed the errors of gear tooth actual contact deformation and Hertz contact theory, the influence of friction on gear tooth contact stress, and analyzed the error sources of gear tooth deformation and contact stress. Xiao Wangqiang et al. Established a parametric finite element analysis model for the new asymmetric involute tooth profile proposed by them, and put forward the calculation formula of the fatigue strength analytical method of asymmetric tooth profile gear through iterative calculation and optimization strategy. The results show that the calculation by the finite element model is consistent with the calculation by the analytical method, The test results show that the change trend of stress value of tooth profile gear is the same as that of the first two methods.

Chen Bingkui et al. Combined with the tooth profile equation of spiral bevel gear and APDL language, the parametric finite element modeling of spiral bevel gear developed by two different forms of rack tools is carried out. On this basis, the bending fatigue strength of spiral bevel gear teeth developed by these two tools is analyzed and calculated by using ANSYS / FE-SAFE. The results show that the full arc cutter at the top of the tooth can improve the bending fatigue strength of the spiral bevel gear teeth compared with the double arc cutter at the top of the tooth. Aiming at the key factors affecting the stress calculation accuracy of finite element contact analysis of spiral bevel gears, Wang Delun et al. Proposed an efficient three-dimensional finite element accurate tooth surface control modeling method of helical gears. The numerical experiments show that the overall modeling method adopts hexahedral element mapping mesh division combined with local element refinement of contact zone, It can effectively solve the contradiction between the calculation accuracy and calculation efficiency of helical gear finite element contact analysis. For bevel gears, Fang Zongde proposed the concept of meshing quality control of spiral bevel gears based on transmission error design, and analyzed many information such as dynamic characteristics and strength performance of spiral bevel gear transmission reflected by transmission error, including design coincidence degree, actual coincidence degree, vibration excitation, edge contact The load distribution between teeth and the sensitivity of tooth surface impression to error. Tang Jinyuan and others also presented the finite element loading contact analysis method of Spiral Bevel Gear Considering machining error, installation error, shaft deformation and bearing stiffness based on the loading contact finite element analysis principle.

Based on the gear meshing principle and tribological theory, yuan Jiehong and Lin zejin equivalent the spiral bevel gear to an equivalent straight cylindrical gear, and comprehensively considered the time-varying factors such as the relative sliding speed of the meshing point, the normal load, the friction coefficient and the influence of the actual coincidence degree, established the calculation model of the friction power loss of the spiral bevel gear. Deng Xiaozhong and others studied the influence of contact path on the contact stress of spiral bevel gear by using the methods of tooth surface contact analysis, bearing tooth surface contact analysis and comprehensive analysis of elastic theory, analyzed the tooth root bending stress state by using the finite element stress influence matrix method, and measured the tooth root bending stress of spiral bevel gear with different inclination of contact path by experiment. Yang Rong et al. Studied the design technology of high-power spiral bevel gear by using the special program for load analysis of spiral bevel gear, analyzed the size and position of the tooth surface contact area after the tooth is loaded, calculated the tooth root bending stress and tooth surface contact stress, and studied the vibration characteristics of gear, the vibration noise of gear system and the roar of gear.

According to the above research results, it can be predicted that the strength design and calculation of the new gear largely depends on the computer and calculation software. Therefore, establishing an accurate gear model and determining the accurate loading conditions can maximize the consistency between the simulation results and the actual contact conditions.

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