Gears are one of the most significant machine elements in power transmission due to the many advantages such as high load capacity, long life, and reliability. Due to the increasing power and speed values, the characteristics expected from the transmission elements are also increasing. Significant changes occur in the dynamic behavior of the gears at high speed due to the resonance. For this reason, determining the resonance frequencies is becoming an important issue for designers. This paper presents a method for determining the resonance regions of the gear system under different design parameters. The main purpose of this study is to examine the effects of different gear design parameters on spur gear dynamics. For this aim, the effects of these parameters on the mesh stiffness and contact ratio are examined, and the interaction of mesh stiffness, contact ratio, and dynamic response is presented. Different mesh stiffness calculation methods used to calculate time-varying mesh stiffness and a parametric gear dynamic model are proposed. To solve the equations of motions, a computer program is developed in MATLAB software. Five different design parameters, which are teeth number, pressure angle, reduction ratio, profile shifting factor, addendum factor, and damping ratio, are taken into consideration. The dynamic factor variation is calculated for 1600 rpm a constant pinion speed for each parameter for a single mesh period. Furthermore, the dynamic factor is calculated for the pinion speed between 400–30000 rpm and the frequency response and the resonance regions of the gear system are defined. As a result of the study, the profile shifting and the addendum factor are the most effective two parameters on the gear dynamics. Also, the contact ratio and mesh stiffness have a great effect on the dynamic response of the system. The methods decreasing dynamic load factors are also discussed at the end of the study.

齿轮具有许多优点，例如高负载能力，长寿命和可靠性，是动力传动中最重要的机械元件之一。由于功率和速度值的增加，传动元件的预期特性也在增加。由于共振，齿轮在高速下的动态行为发生了重大变化。因此，确定谐振频率已成为设计人员的重要课题。本文提出了一种在不同设计参数下确定齿轮系统共振区域的方法。这项研究的主要目的是研究不同齿轮设计参数对正齿轮动力学的影响。为此，研究了这些参数对网格刚度和接触比的影响，并给出了网格刚度，接触比和动态响应之间的相互作用。提出了用于计算时变网格刚度的不同网格刚度计算方法和参数齿轮动力学模型。为了求解运动方程，在MATLAB软件中开发了一个计算机程序。考虑了五个不同的设计参数，分别是齿数，压力角，减速比，轮廓偏移系数，齿顶系数和阻尼比。动态系数变化是在单个网格周期内以1600 rpm和每个参数的恒定小齿轮速度计算的。此外，计算出小齿轮速度在400-30000 rpm之间的动态因子，并定义了频率响应和齿轮系统的共振区域。研究的结果 轮廓变化和齿顶系数是齿轮动力学上最有效的两个参数。而且，接触比和网孔刚度对系统的动态响应有很大的影响。在研究的最后还讨论了减小动态载荷因子的方法。