Research status of numerical simulation of bevel gears

Zhangyane of Shandong University estimated the forming force of forged half shaft gear and planetary gear, and used Defrom-3D to carry out numerical simulation on the process of precision forging planetary gears with different preformed reduction sizes, analyzed the stress, strain, strain rate, velocity distribution and load stroke curve in the precision forging process of planetary gears under three schemes, and determined the optimal preformed reduction height diameter ratio, The rationality of the design is proved by simulation. According to the process design and numerical simulation results, the die structure of pre forging and final forging was optimized.

Zhangqingping, et al. Of Jinan University built a three-dimensional solid model for the straight bevel gear, and used the cold precision forging process as the forging process to simulate and analyze the forming process of the bevel gear by finite element method. The analysis shows that the forging temperature has a great influence on the gear forming, and higher deformation speed is conducive to the precision forming of bevel gears. The forming load increases with the increase of carbon content. At the same time, the deformation and wear degree of the die also increases, and the forming becomes difficult. The research on the numerical simulation of precision forging process and the analysis of the influence of various process parameters on gear forming has become the theoretical guiding principle for the design of precision forging process of spur bevel gears.

Wang Chen studied the high temperature plastic deformation behavior of magnesium alloy AZ61 under the condition of considering the strain factor, and established the high temperature flow stress model under arbitrary strain from two methods; The dynamic recrystallization rules of magnesium alloys under different hot deformation conditions were studied. According to the microstructure evolution of magnesium alloys, the mathematical model of dynamic recrystallization grain size and the Vickers hardness model after forging were established. The flow stress model and microstructure evolution model are combined with the three-dimensional thermomechanical rigid plastic finite element to carry out numerical simulation. The strain, stress, temperature distribution and microstructure evolution in the forming process were analyzed, and the effects of different denaturation conditions on the forging forming of magnesium alloy bevel gears were explored.

Zhouyanze of Beijing University of Aeronautics and Astronautics and others established the finite element simulation for accurate calculation of tooth bending strength based on the transition surface equation of the tooth surface and tooth root of the straight bevel gear machined by the generation method, and determined the forming load distribution on the contact line by using the flexibility matrix method to calculate the tooth root stress. In order to analyze the bending strength of spur bevel gears in an all-round way, based on the previous work, the corresponding computer program is compiled, which can solve the load distribution, tooth deformation and tooth root stress at multiple meshing positions at one time, and calculate the load, deformation and stress on each pair of teeth when the double tooth pair is working.

Dengxiaobin, Hualin, etc. conducted numerical simulation and Experimental Research on the cold rotary forging process of spur bevel gears made of 20CrMnTi. The basic mechanical property parameters of 20CrMnTi were measured by tensile test, and its true stress-strain constitutive equation was obtained by fitting. The actual friction conditions were obtained by the interface compression test of ring mold workpiece under different lubricant conditions. Based on the above reliable pre-processing data, the numerical simulation is carried out on the platform of Defrom-3D based on the rigid plastic finite element theory. Through simulation, the optimal geometric dimension of the forging is proposed for the first time, and the deformation mechanism in the cold swing rolling process of spur bevel gear is demonstrated.

P B Hussain of Malaysia and j s Cheon of Korea used the simulation campform system to conduct numerical simulation and Analysis on the cold forging process of clutch gear. Through simulation, the effects of different geometric dimensions, forming methods and shear friction coefficients on the forming process are determined, which has guiding significance for selecting the best forming method.

Wangjianjin of Nanchang University, etc. used the rigid plastic finite element method of thermal mechanical coupling to carry out numerical simulation, analyzed and compared the travel load curve, equivalent strain field, equivalent stress field and temperature field distribution of the tooth shaped female die in the process of warm forging and cold forging, and came to the conclusion that the temperature distribution is uniform, the stress is small and the forming load is small when the strain difference is small.

Koushuqing and others took the differential planetary gear of Jetta car as the research object, analyzed the applicability of the cold block forging process, and simulated the forging process under the process conditions. In terms of technical problems and parameter selection, a grid format is used to describe the cold block forging die cavity of the car differential bevel gear, the master-slave algorithm is used for the contact algorithm, the direct constraint method based on iterative solution is used for the contact constraint, the constant friction constraint is used for the friction condition, and the Newton Raphson iterative algorithm is used at the same time, The finite element solution in the process of plastic deformation is realized by linearizing the nonlinear equation. Through numerical simulation, the distribution of mechanical quantity field and the information of metal flow filling law in the forging process were obtained.