Abstract
The modeling and dynamics of the coupled planetary gear and rotor system is studied. The dynamic model of planetary gear system connected with the input shaft and output shaft is established. A concept of micro-relative displacement is introduced to describe the relative motion between each part of the planetary gear system, thus the positive semidefinite gear system is transformed into positive definite system. Considering the time-varying characteristic of gear mesh stiffness, the incremental harmonic balance method is adopted to analyze the response of the coupled rotor and planetary gear system. The analysis results are compared with that of the single planetary gear system. It shows that the nonlinear response behaviors of the planetary gear-rotor system are significantly different from the single planetary gear set, so the influence of rotors on both ends cannot be ignored, especially when the rotors are large.
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