Jixie chuandong (Mar 2023)
Correlation Between Involute Profile Waviness and Gear Transmission Performance
Abstract
Involute tooth profile contains a lot of waviness information. Digging and expanding the application of waviness information to establish its relationship with gear transmission performance has important engineering value. Studying the construction principle of equation of the involute with waviness is to fit the waviness curve based on the measured teeth surfaces data. The involute tooth profiles with different sine waviness are constructed. Based on the meshing principle, the correlation of wavelength, amplitude, phase of waviness and transmission error is analyzed in the time domain and frequency domain, and verified by actual tooth surface data. The finite element model of involute tooth surface with waviness is established, and the correlation between wavelength, amplitude, phase of waviness and contact stress in gear transmission is simulated and analyzed. The gear transmission error test is carried out to verify the correctness of the calculation of transmission error. The results show that the fluctuation amplitude of transmission error is sensitive to the amplitude change of tooth profile waviness; the periodicity of tooth profile waviness is related to the order component of transmission error; with the increase of the number of waviness fluctuation periods, the order amplitude of the corresponding multiple of the number of teeth increases significantly; the magnitude of tooth surface contact stress is mainly affected by the amplitude of profile waviness. Thus the waviness information of gear measurement results between macro and micro quantities is extended and applied, and the research provides a basis for predicting transmission performance based on waviness information.
