Abstract
Dynamic excitation caused by time-varying meshing stiffness is one of the most important excitation forms in gear meshing process. The mesh phase relations between each gear pair are an important factor affecting the meshing stiffness. In this paper, the mesh phase relations between gear pairs in an encased differential gear train widely used in coaxial twin-rotor helicopters are discussed. Taking the meshing starting point where the gear tooth enters contact as the reference point, the mesh phase difference between adjacent gear pairs is analyzed and calculated, the system reference gear pair is selected, and the mesh phase difference of each gear pair relative to the system reference gear pair is obtained. The derivation process takes into account the modification of the teeth, the processing, and assembly of the duplicate gears, which makes the calculation method and conclusion more versatile. This work lays a foundation for considering the time-varying meshing stiffness in the study of system dynamics, load distribution, and fault diagnosis of compound planetary gears.
Highlights
Planetary gear transmission is widely used in aviation, automobile and other industrial fields because of its strong loadcarrying capacity and small size
For the encased differential compound planetary gear train widely used in coaxial twin-rotor helicopters, taking the meshing starting point as the reference point, considering the gear modification, the calculation method of mesh phase difference is studied
The initial position of the system and the referred gear pair of the system are defined, and the time when the referred gear pair is in contact at the meshing starting point is calculated
Summary
Planetary gear transmission is widely used in aviation, automobile and other industrial fields because of its strong loadcarrying capacity and small size. Based on the universal tooth profile equation, the meshing stiffness of gear pairs with different crack levels was calculated, and their effects on the vibration response are studied by fault detection indicators [2]. Kahraman established a nonlinear timevarying dynamic model of planetary transmission considering tooth profile error and time-varying meshing stiffness, and analyzed the influence of errors on dynamic load-sharing coefficient [6]. Li [17, 18] studied the mesh phase relations of two-stage planetary gears with meshed-planet gears On this basis, the time-varying meshing stiffness was calculated, and the simulation analysis and experiment of gear tooth fault signal were compared. The gear modification is considered in the derivation process, which makes the conclusions in this paper more versatile
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