Analysis of random vibration and friction characteristics of spur gear pair

Vibration characteristics of spur gear pair based on the randomness of error and tooth surface friction:

(1) Using the method of probability and statistics, the random characteristics of error and spur gear tooth surface friction parameters are mathematically characterized, the existing geometric model is modified, the mathematical mapping model between time-varying meshing curvature radius and spur gear tooth surface friction parameters disturbed by random error is established, and the random error and spur gear tooth surface friction parameters are calculated by an example.

(2) Using the lumped mass method, a three degree of freedom flexural torsional coupling vibration model of spur gear pair considering the randomness of error and spur gear tooth surface friction parameters is established, the dynamic equation is solved numerically, and the effects of error and the randomness of spur gear tooth surface friction on the flexural torsional vibration response of spur gear transmission are compared and analyzed.

(3) The effects of random error and the randomness of tooth surface friction parameters of spur gear on the vibration characteristics of spur gear transmission are simulated and analyzed. The results show that the random error has an increasing effect on the acceleration response of spur gear and the randomness of the response is enhanced; The randomness of tooth surface friction parameters increases the vibration amplitude of spur gear acceleration response; These two kinds of interference factors make the acceleration response more complex randomness in frequency domain and phase diagram, and aggravate the dynamic instability of spur gear system. The model established in this paper reflects the actual transmission process of spur gear to a certain extent. The research results provide ideas for the establishment of spur gear transmission dynamic model and theoretical support for the subsequent dynamic optimization of spur gear transmission.

Scroll to Top