The calculation of time-varying meshing stiffness caused by the alternate contacting of the gear tooth is an essential prerequisite to obtain real and effective nonlinear dynamic characteristics of the transmission system, so that the significance of which cannot be overemphasized. Accordingly, this work proposes an improved method to get meshing stiffness with taking fillet-foundation and gear rim deflection into consideration. Compared to the traditional potential energy method, the proposed method has more superior accuracy and performance, and its effectiveness has been further verified by the finite element analytical model. After that, an ideal eight degree of freedoms (DOFs) dynamic model of one stage mass-spring-damper involute spur gear, including lateral and torsional motions, is established to study the dynamic characteristics. Due to the complexity of the gear system operating conditions, we also investigate the influence of various parameters including hub bore radius, transmitting load, and rotation speed on dynamic features, especially in heavy-load and high-speed conditions. From the results, it can be concluded that these parameters will play a prominent role in the spur gear pair dynamic behaviors, providing a certain guidance for gear design.

轮齿交替接触引起的时变啮合刚度的计算是获得真实有效的传动系统非线性动力学特性的必要前提，其重要性不言而喻。因此，这项工作提出了一种改进的方法来获得啮合刚度，同时考虑圆角基础和轮缘挠度。与传统的势能法相比，该方法具有更优越的精度和性能，其有效性得到了有限元分析模型的进一步验证。之后，建立了一级质量-弹簧-阻尼器渐开线直齿轮的理想八自由度（DOF）动力学模型，包括横向和扭转运动，以研究其动力学特性。由于齿轮系统工作条件的复杂性，我们还研究了包括轮毂孔半径、传递载荷和转速在内的各种参数对动态特性的影响，特别是在重载和高速条件下。从结果可以得出结论，这些参数将在正齿轮副动态行为中发挥突出作用，为齿轮设计提供一定的指导。