In mining conveyor systems, the following measures can be taken to effectively reduce gear noise and vibration:

1. **Optimize Gear Design**: Precise gear design, including tooth profile, pitch, and surface roughness optimization, can reduce noise and vibration generated during gear meshing. Using advanced design software for mathematical modeling can predict and reduce gear noise during the design phase.

2. **Improve Manufacturing Precision**: Controlling gear tolerances, such as pitch, tooth form, and bearing surface quality, during the manufacturing process can reduce noise and vibration caused by manufacturing and assembly variations.

3. **Use High Quality Bearings**: The quality and precision of bearings shaft significantly affect the noise and vibration of the gear system. Using high-quality bearings can reduce noise and vibration caused by bearing defects.

4. **Conduct Dynamic Analysis**: Dynamic analyses, such as Finite Element Analysis (FEA) and modal analysis, can predict the dynamic characteristics of gears in operation, thereby optimizing the design to reduce vibration.

5. **Implement Noise and Vibration Monitoring**: Using sensors and monitoring systems to detect the noise and vibration levels of gears can help identify issues and take appropriate maintenance measures.

6. **Maintenance and Lubrication**: Proper lubrication and regular maintenance can reduce gear wear, thereby reducing noise and vibration. Choosing the right lubricating oil and lubrication method is crucial for the performance and lifespan of gears.

7. **Use Gearless Drive Systems**: Gearless drive systems can eliminate the gear box as a weak point. By using low-speed motors and precise frequency conversion drive control, maintenance requirements can be reduced, failure rates can be lowered, and efficiency can be improved.

8. **Adopt Advanced Analytical Tools**: Using advanced analytical tools such as Fourier analysis, tooth contact analysis, and surface roughness analysis in GAMA software can help identify and control the sources of gear noise.

9. **Consider Load Impact**: Conduct loaded contact analysis to consider the behavior of gear pairs under different torque or load conditions. This is crucial for fully designing and optimizing the gear system.

10. **Use Digital Solutions**: Adopting digital solutions such as ABB Ability can improve productivity and safety while reducing costs, and take advantage of the extended field provided by automated application programs.

Through the above measures, the noise and vibration of gears in mining conveyor systems can be significantly reduced, improving the stability and reliability of the system.