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.

中文翻译：

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具有多场耦合效应的双螺旋行星齿轮传动系统声-振动特性的分析与实验研究


声振特性在决定航空双螺旋行星齿轮传动系统的性能方面起着至关重要的作用。考虑双斜齿轮行星齿轮传动系统中温度、流体和结构之间的耦合效应，构建了改进的啮合刚度模型，该模型还考虑了“油膜凹凸”的分形齿、齿摩擦、热膨胀和载荷分配。在对分形齿网格刚度研究的基础上，考虑了摩擦激励、传动误差和齿间隙的影响，建立了集中式参数动力学模型。然后将轴承刚度和获得的动态啮合力用作激励源，以计算齿轮系统及其外壳的振动。此外，将频域壳体振动位移作为声学边界元模型的边界条件，计算变速箱的壳体表面声压和场点声压。最后，进行了振动和声学实验，验证了理论研究的正确性。结果表明：具有多场耦合效应的分形双螺旋齿轮副的啮合刚度更接近有限元法（FEM）的模拟值，被测振动接近模拟值，被测声压级接近边界元法（BEM）得到的数值， ，它表明了所提出的方法的有效性。