Abstract

The acoustic vibration characteristics play a crucial role in determining the performance of aero double-helical planetary gear transmission systems. Considering the coupling effect among temperature, fluid, and structure in double-helical planetary gear transmission systems, an improved mesh stiffness model is constructed in this paper, which also considers the fractal tooth, tooth friction, thermal expansion, and load-sharing of “oil film-asperity”. Based on the study of mesh stiffness of fractal tooth, a centralized parametric dynamic model is established, considering the influence of friction excitations, transmission error, and tooth clearance. The bearing stiffness and the obtained dynamic mesh forces are then used as excitation sources to calculate the vibration of the gear system with its housing. Furthermore, the housing vibration displacement in the frequency domain is used as the boundary condition of the acoustic boundary element model to calculate the housing surface sound pressure and the field point sound pressure of the gearbox. Finally, experiments on vibration and acoustics are conducted to verify the correctness of the theoretical investigation. The results show that the mesh stiffness of fractal double-helical gear pairs with multi-field coupling effect is closer to the simulation value of the finite element method (FEM), the tested vibration is close to the value of the simulation, and the tested sound pressure level is close to the value obtained by the boundary element method (BEM), which indicates the validity of the proposed methods.

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