Abstract
The time-varying mesh stiffness (TVMS) is the crucial parameter of the dynamic model of the gear system. Accurate calculation of TVMS is essential for effective fault diagnosis of the gear system. A mesh stiffness improved method considering both the gear tooth transition curve and deformation of the gear body is presented in this paper, and the stiffness calculation expressions under healthy and crack states are given, respectively. Based on the lumped parameter method, the dynamic model of planetary gear with crack in sun gear is constructed, and the vibration response is solved. The simulation results show when the tooth root cracks appear, the vibration response of the tooth has obvious shock response characteristics. The characteristic frequency and frequency multiplication of sun gear fault can be found obviously by envelope analysis. The simulation signal and the test signal obtained by the drivetrain dynamics simulator gearbox test rig are compared and verified. The comparison and verification results show that the proposed TVMS calculation method and the dynamic model are accurate, which can provide a certain theoretical basis for the fault diagnosis of planetary gear with crack fault. The test results are consistent with the numerical analysis results, which provides a theoretical basis for the fault diagnosis of tooth crack.
Highlights
The planetary gear transmission system has the advantages of high transmission efficiency and compactness performance, etc
The time-varying characteristic of mesh stiffness is a crucial parameter excitation source, which has a significant influence on the dynamic response characteristic of the gear transmission system
X > dc According to the derivation method of time-varying mesh stiffness (TVMS), when the root circle of the healthy gear tooth is smaller than the base circle, the TVMS value under crack state can be derived
Summary
The planetary gear transmission system has the advantages of high transmission efficiency and compactness performance, etc. Established a new model and analyzed the influence of crack on the gear mesh stiffness when gear teeth root cracks appeared in the planetary gearbox. The the influence of thethe root filletstiffness transition be considered, andfault on the other hand, formulas for factors calculating mesh of parts gear should teeth under healthy and conditions are the influence of the gear body deformation should be considered. On this basis, the formulas for derived respectively.
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