# Study on Vibration Reduction Performance of Gear Pairs Made by a High-Strength Fe-Mn Damping Alloy
## 7 Gearbox Vibration Experiment
### Vibration Test Results and Analysis of Gearbox
3.3 Comparison of Vibration Acceleration Results of Different Gear Materials under Different Working Conditions  
As shown in Figure 22, we compared the effective acceleration values of point 1 at 700 rpm and measuring point 3 at 900 rpm under different loading conditions. The results showed that the two kinds of damping alloy materials had an obvious damping effect. At measuring point 1 at the speed of 700 rpm, the effective acceleration values of the two kinds of damping alloy materials were reduced by 18.8% and 213%, respectively, when the load was 10 N-m. The effective acceleration values of the two kinds of damping alloy materials were reduced by 16.1% and 33.8%, respectively, when loading 10 N-m at measuring point 3 at the speed of 900 rpm. In order to compare the damping effect of the gearbox with alloy materials at different rotational speeds, we compared the effective acceleration values of measuring points 4 and 6 at different speeds. The results are shown in Figure 23. At measuring point 4, the effective acceleration values of the two kinds of damping alloy materials decreased by 11.0% and 21.8%, respectively, at the speed of 700 rpm, and the effective acceleration values of the damping alloy materials decreased by 6.1% and 15.3%, respectively, at the speed of 900 rpm. At measuring point 6, the effective acceleration values of damping alloy materials at a 700 rpm rotation speed were reduced by 5.32% and 20.2%, respectively. The  
Figure 21: Comparison of vibration acceleration effective values of different material gear under 900 rpm 10 N-m working conditions. Figure 22: Comparison of the results of different loading: (**a**) results of measuring point 1 at the speed of 700 rpm; (**b**) results of measuring point 3 at the speed of 900 rpm. effective acceleration values of damping alloy materials were reduced by 16.8% and 22.5%, respectively, at 900 rpm. 3.4 Comparison between Test Results and Simulation Results of Acceleration Effective Values of Different Gear Materials  
To compare the experimental and simulation results of the gearbox, we selected the nodes corresponding to the measuring points on the dynamic simulation model of the damping alloy gear reducer. The corresponding vibration acceleration was extracted, and the effective value of the acceleration was calculated. The results were converted to the same unit as the test acceleration results, and the comparison results of the 1(Z) direction and 3(Z) direction were shown in Figure 24. It was shown that the error between the test results of the 40 Cr material gearbox and the simulation results was relatively small, and the acceleration test results of damping alloy materials and 40 Cr materials were the same as the simulation results. The main reason was that the simulation analysis was carried out under the perfect ideal condition. The stirring of the lubricating oil, the dynamic change of the input motor and the brake all had a certain influence on the test results. Comparison of Temperature Changes in Different Parts of the Gearbox during Gear Operation with Different Materials  
The damping mechanism of the alloy materials converts mechanical energy into heat energy. It dissipates to the surrounding environment by using its high-damping characteristics to achieve the purpose of vibration reduction. Because of the damping alloy's damping characteristics and gear meshing, the tooth surface friction and heat  
Figure 23: Comparison of test results at different speeds when loading was 10 N\(\cdot\)m: (**a**) measuring point 4; (**b**) measuring point 6. Figure 24: Comparison of experimental results and simulation results: (**a**) comparison of the results for measuring point 1 (Z); (**b**) comparison of the results for measuring point 3(Z). energy dissipation occurred, and the gearbox temperature rose.