偏心误差影响下齿轮副啮合行为及振动响应

Meshing Behavior and Vibration Response of a Gear Pair Involving Eccentricity Errors

为探究偏心误差对齿轮传动动态特性的影响规律,采用Adams动力学软件建立了含偏心误差激励的直齿圆柱齿轮副6自由度弯扭耦合振动模型,代入理论计算的平均啮合刚度和轴承支撑刚度,采用GSTIFF积分法求解获得了表征系统啮合行为及动态响应的数值解。分析表明,受偏心误差影响,齿轮副中心距、啮合角、重合度、齿侧间隙、传递误差、传动比等啮合相关参数均表现出动态时变特征,使齿轮系统振动和动载荷幅值增大,且呈现调制特征,在啮合频率附近出现一系列与偏心误差相关的边频带;此外,偏心误差的存在改变了系统的振动状态,使系统由理想条件下的单周期响应转变为拟周期响应。

To explore the influence of eccentricity errors on the dynamic characteristics of gear transmis⁃sions,a six-degree-of-freedom bending-torsional coupling vibration model of a spur gear pair with eccentrici⁃ty error excitations is established by using the dynamics software Adams.The gear meshing stiffness and bearing support stiffness are theoretically calculated,and the numerical solution characterizing the meshing behavior and dynamic response of the system is obtained by GSTIFF integration method.The results show that the mesh⁃ing related parameters such as gear pair center distance,meshing angle,contact ratio,backlash,transmis⁃sion error and transmission ratio show time-varying characteristics under the influence of eccentricity errors,which increases the amplitude of vibration and dynamic loads of the gear system.And the modulation phenome⁃non appears with a series of sidebands related to eccentricity errors appearing near the meshing frequency.In ad⁃dition,the existence of eccentricity errors changes the system vibration status,and makes the system vibration alter from single periodic response to quasi periodic response.