By analyzing the current situation of determining the drum shape in foreign countries, song Lemin obtained the calculation formulas of drum repair only considering inclination and considering inclination and gear tooth deformation, and verified the drum repair effect through calculation and experiment. Yang Tingli et al. Analyzed the modification principle of straight and oblique tooth height modification, and gave the calculation method of modification amount, the determination of modification tolerance and several tooth height modification diagrams. Aiming at high-speed and heavy-duty straight bevel gear, Li dunxin introduces three modification methods: profiling method, hobbing method and using standard modification hob, and puts forward that the influence of many factors such as tooth comprehensive deformation and manufacturing accuracy of straight bevel gear should be considered in the calculation of modification. Tao Yanguang et al. Analyzed the tooth profile modification test to obtain uniform thermal deformation during straight bevel gear transmission, and gave a method to obtain the tooth profile modification of straight bevel gear considering thermal deformation.
Tang zengbao and others introduced the meshing stiffness and transmission error of straight bevel gear into the gear vibration analysis model, established the mathematical model of straight bevel gear system, solved and optimized the model. Xu Weimin, Qu tie and others studied the influence of modification on the dynamic characteristics of straight bevel gear under low speed and high load conditions by bench and industrial tests. The results show that the tooth profile modification significantly improves the tooth bearing capacity of straight bevel gear. Zhang Shusheng and others carried out dynamic analysis on straight bevel gear transmission, and optimized three modification methods of straight line, parabola and sinusoidal curve with vibration acceleration as the objective function. Based on the mechanical principle and finite element theory, Li Shaobin analyzed and studied various deformation and stiffness of gear teeth, studied the relevant parameters of tooth profile modification of high-speed straight bevel gear, and applied it to practical engineering. Luo Caiwang used romax software to analyze the influence of straight bevel gear shaft error, tooth direction correction drum and load on straight bevel gear static transmission error, and established the straight bevel gear vibration differential equation including static transmission error. Through solving the equation, it can be seen that the vibration performance of the improved system has been significantly improved.
Scholars of straight bevel gears in Huazhong University of science and technology have also done a lot of research on the modification of straight bevel gears and achieved many results. Xia Juchen completed the accurate modeling of straight bevel gear in Pro / E software and used MSC Marc analysis obtains the stress and strain in the contact process of straight bevel gear. Compared with the theoretical value of Hertz force, it is found that the influence of hub stiffness should be considered in the tooth deformation, which provides a model and theoretical basis for the study of straight bevel gear modification. Chen Xia used three kinds of modification curves to modify the straight bevel gear, and analyzed the change of transmission error of straight bevel gear in three cases by using finite element software. It was concluded that the performance of straight bevel gear modified by spiral involute was the best, followed by arc curve. The analysis of straight bevel gear is static analysis, and the results do not fully accord with the reality.
Cui Huanyong and Yang Dong completed the entity accurate modeling of straight bevel gear through SolidWorks software, gave the tooth equidistant modification technology based on the tooth direction modification drum, completed the dynamic simulation analysis of the meshing process of straight bevel gear with tooth profile arc and tooth direction equidistant modification by using ANSYS / LS-DYNA, and compared the dynamic performance of straight bevel gear before and after modification.
Xu Pengfei used ANSYS / LS-DYNA to study the working performance of straight bevel gear under constant load and variable load, and obtained the variation law between stress, strain and modification of straight bevel gear under different shaft intersection angles through finite element analysis.
Zhang Fangyou optimized the isometric modification parameters by orthogonal test, and obtained the best isometric modification parameters. Moreover, the variable curvature surface modification of straight bevel gear under a certain actual working condition is carried out, and the modification effect is verified by ANSYS / LS-DYNA simulation analysis.
Wang Dan and others completed the three-dimensional finite element parametric modeling of aeroengine gear transmission in ANSYS software, obtained the thermal deformation of straight bevel gear through analysis, calculated the maximum tooth profile modification considering thermal deformation and elastic deformation based on empirical formula, and obtained the optimized modification curve, Through finite element analysis, it is verified that the modification can make the transmission of straight bevel gear better.
It can be seen from the above that the domestic research and application of straight bevel gear modification technology has obtained rich theoretical results, while the research on straight bevel gear modification technology has achieved some theoretical results, but it is not perfect. Most spur bevel gear modifications only consider the elastic deformation of gear teeth, and rarely consider the influence of machining error, thermal deformation, variable load and other factors. In addition, most of the research on the modification of straight bevel gear is only for the modification of tooth profile or tooth direction, while the research on the comprehensive modification of straight bevel gear is still relatively few.