# Finite element theoretical calculation and analysis of dynamic contact stress and bending stress of spiral bevel gear

According to the working condition of spiral bevel gear simulated in dynamic loading contact analysis, the value range of calculation coefficient of spiral bevel gear tooth surface contact stress and tooth root bending stress in stress calculation formula.

According to the formula and the value range of calculation coefficient, the values of tooth surface contact stress and tooth root bending stress under various working conditions can be obtained. Compared with the results of finite element contact analysis.

The maximum value of tooth surface contact stress obtained by finite element analysis under working conditions 1, 2, 3 and 4 is less than the theoretical value; The maximum value of tooth root bending stress under working conditions 2, 3, 4 and 5 is greater than the theoretical calculation value. The results show that because a large number of correlation coefficients are introduced into the theoretical stress calculation formula, the selection of coefficients largely depends on the experience of designers, which brings some limitations to the stress calculation of spiral bevel gears. In addition, the finite element analysis is an ideal calculation environment, and the real working condition of spiral bevel gear can not be accurately simulated in the analysis process, which may lead to the deviation between the theoretical calculation results and the finite element analysis results.

The maximum values of tooth surface contact stress and tooth root bending stress obtained by finite element dynamic contact analysis and theoretical calculation are less than the fatigue limit stress in the formula. It shows that the spiral bevel gear under the above five working conditions meets the strength requirements and has high reliability.

From the results of dynamic loading contact analysis of spiral bevel gear under different working conditions, it can be seen that the transmission accuracy of spiral bevel gear is high; When the meshing parts of gears are different, their contact force, contact area, contact stress and bending stress will also change. In the process of meshing, the maximum contact stress appears near the contact circle of single tooth; When multiple teeth contact, the maximum contact stress of the tooth surface is greatly reduced; Under the same torque, the smaller the speed is, the more stable the contact of spiral bevel gear is; Under high speed and low torque, de meshing will occur. At the same time, it reflects the transmission process of contact, disengagement and re contact of gear pair in high-speed meshing, which will cause the wear and damage of spiral bevel gear.

Through the static and dynamic loading contact analysis of spiral bevel gear, it can be seen that the static loading contact analysis mainly simulates the meshing characteristics of spiral bevel gear under stable working state, while the dynamic loading contact analysis simulates the meshing performance under high-speed impact. The dynamic contact analysis is more in line with the actual working conditions of spiral bevel gear, and the calculation results can more truly simulate the meshing performance of spiral bevel gear.

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