Natural characteristics analysis of two teeth difference external compound planet transmission

An analytical translational-rotational-coupling dynamic model is developed to evaluate the natural characteristics of two teeth difference external compound planet transmission by adopting centralized parameters method. The governing differential equations are established by deriving relative displacement relationships between all motional components, and Matlab is used to calculate and obtain the natural frequencies and free vibration modes of the transmission system. The analysis results show that the vibration modes are classified into rotational mode of the central members, translational mode of the central members and complicate vibration mode of the planetary gears. The vibration modes are different from the NGW planetary transmission, and especially the planetary gears vibration mode are quite complex with several different vibration modes. The research can provide useful reference for preventing resonance, vibration and noise reduction, and structure optimization of the planet transmission mode used in polishing grinding