This study presents, a three-dimensional dynamic load distribution model of planetary gear sets, which can capture the influence of several component and system level design variations. A numerical integration scheme is used in conjunction with an iterative elastic contact algorithm to solve the multibody dynamics problem. This approach inherently captures the mesh stiffness fluctuation, without the need for an empirical mesh stiffness formulation or transmission error excitation of the system. The unique dynamic response of the parametrically excited system under various gear mesh phasing conditions is studied using the proposed model. Influence of gear tooth modifications and carrier pin position errors on the dynamics of the gearset is explored, also a brief study to demonstrate the model's capability to capture contact non-linearities in the case of low contact ratio gear sets is included. Discussed results not only illustrate the validity and potential of the proposed dynamic model but also reinforce the need for such computationally efficient models for design purposes.

这项研究提出了行星齿轮组的三维动态载荷分布模型，该模型可以捕获多个组件和系统级设计变化的影响。数值积分方案与迭代弹性接触算法结合使用，以解决多体动力学问题。这种方法固有地捕获了网格刚度波动，而无需经验性网格刚度公式或系统的传输误差激励。使用所提出的模型研究了参数励磁系统在各种齿轮啮合相位条件下的独特动态响应。探索了齿轮齿修改和行星齿轮架销位置误差对齿轮组动力学的影响，并进行了简短的研究来证明该模型的 在低速比齿轮组的情况下，还具有捕获非线性的能力。讨论的结果不仅说明了所提出的动态模型的有效性和潜力，而且还出于设计目的而加强了对这种计算效率高的模型的需求。