针对一级行星两级平行轴风电齿轮传动系统，综合考虑齿轮时变啮合刚度、啮合阻尼、传递误差等因素，建立31个自由度的弯扭轴耦合集中参数动力学模型，采用变步长Runge-Kutta法对系统动力学微分方程进行求解，得出齿轮传动系统各级传动误差；借助软件建立风电齿轮箱刚柔耦合动力学模型，并导入传动误差，采用模态叠加法求得齿轮箱轴承支反力，并将其作为声振耦合模型的边界条件，采用声学有限元法对风电齿轮箱进行振动噪声预估，并与试验结果对比分析，两者吻合良好。

A bending-torsion-axial coupled lumped parameter dynamic model of planetary gear and two parallel-axes transmission system with 31 degrees of freedom was established, with considering the factors of time-varying mesh stiffness, mesh damping, and transmission error. First, Runge-Kutta method with variable time step was introduced to solve the dynamic differential equations, and all gear transmission errors were calculated. Then, a wind power gearbox flexible coupling dynamics model with transmission errors was built by using LMS Virtual.Lab, and gearbox bearing reaction forces used as acoustic coupling model boundary conditions were obtained by mode superposition method. Finally, wind power gearbox noise and vibration were predicted by using acoustic finite element method and the results were compared with the test results. Comparison results show that considering the gear dynamic transmission error excitation, the gearbox surface vibration response and radiation noise are in good agreement with the test results.

国家科技支撑计划资助项目（2015BAF06B02）；国家自然科学基金资助项目（51175524）。