In this study, a new rigid–flexible gear with metal rubber is proposed to reduce the vibration of the gear transmission system. A nonlinear dynamic model with nine degrees of freedom considering bearing clearance, gear backlash, surface friction, and time-varying meshing stiffness is established. The nondimensional dynamic model of the transmission system is obtained and the bifurcation characteristics of the new rigid–flexible gear pair and the rigid gear pair are analyzed when the damping coefficient is, respectively, 0.03 and 0.1. The result shows that the motion state of the rigid–flexible gear pair is more stable. The dynamic responses of the rigid gear pair and the rigid–flexible gear pair are compared as well through numerical analysis and experiment to illustrate the advantage of the rigid–flexible gear pair in vibration reduction. The results can provide reference for vibration reduction of the novel gear transmission.

在这项研究中，提出了一种新的带有金属橡胶的刚柔齿轮，以减少齿轮传动系统的振动。建立了一个具有9个自由度的非线性动力学模型，其中考虑了轴承间隙，齿轮间隙，表面摩擦和时变啮合刚度。当阻尼系数分别为0.03和0.1时，获得了传动系统的无量纲动力学模型，并分析了新的刚柔齿轮对和刚性齿轮对的分叉特性。结果表明，刚柔齿轮副的运动状态更加稳定。还通过数值分析和实验比较了刚性齿轮对和刚性－柔性齿轮对的动力响应，以说明刚性－柔性齿轮对在减振方面的优势。