中文摘要：

采用集中质量法，考虑时变刚度、齿侧间隙、太阳轮的横向与纵向位移、太阳轮和行星轮的偏心误差激励，建立了行星齿轮传动系统的非线性动力学模型。采用龙塔库特法求解了系统的响应、相图、频谱图扣动力学均载系数；通过测量系统齿根应力的动载荷应变图，获得齿根应变变形的相图、频谱图和系统的均载系数。研究结果表明：理论分析结果与试验测试结果比较吻合，说明采用的理论研究方法是合理的，测试方案是可行的。

英文摘要：

Using lumped mass model, the nonlinear dynamic model of one planetary gear transmission system is established, considering time varying stiffness, backlash, lateral and vertical displacement of the sun gear, eccentricity error excitation of the sun gear and planetary gear. The response, phase diagram, frequency spectrogram and dynamic load sharing coefficients of the system are solved by Runge- Kutta method. And the phase diagram, frequency spectrogram and dynamic load sharing coefficients of the strain-deformation of gear tooth root are obtained by means of measuring the stress and the strain of ring gear tooth root. The results show that the theoretical analysis results agree well with the experimental results, so the dynamics model is reasonable, and the test plan is feasible.