过渡过程中万向铰传动偏斜轴系的横向振动分析

Lateral vibration analysis of misaligned shafting driven by a universal joint during transient process

研究了万向铰传动偏斜轴系在过渡过程中的横向振动问题。将从动轴处理为刚性轴,用一对欧拉角表示从动轴的横向振动角位移,在建立系统运动坐标系的基础上,得到万向铰的传递力矩,将支撑轴承处理为一对正交的弹簧-阻尼器系统,利用改进的欧拉方程推导出过渡过程中万向铰传动偏斜轴系的横向振动模型。对模型进行数值仿真,分析主动轴角加速度对振动响应的影响。结果表明:万向铰传递力矩引起系统的自激振动和参数振动,而万向铰结构偏斜和误差偏斜的存在,既能直接影响从动轴所受弯曲力矩的大小,还能引起系统的强迫振动。主动轴角加速度的变化影响系统的稳定性,角加速度越大,经过相同时间后,从动轴振动幅度变得越小。研究工作对进一步确定万向铰传动偏斜轴系的过渡过程运动稳定性具有重要的意义。

The lateral vibration of misaligned shafting driven by a universal joint during transient process is investigated. The driven shaft is assumed to be a rigid shaft, and the angular deflection of lateral vibration is described by a pair of Euler＇s angles, the components of the moment transmitted by the universal joint with respect to a moving frame are obtained.The bearing is modeled by pairs of springs and dampers, then the lateral vibration differential equations were established applying the modified version of Euler＇s equations.Using direct numerical integration for a set of parameter values, the response of lateral vibration is found, and the effects of angular acceleration on vibration response are analyzed. The results indicate that the transmitted torque causes not only parametric vibrations but also selfexcited ones, the misalignments of universal joint affect the bending moment acting on the driven shaft directly, and cause the forced resonances of system. The angular acceleration of the driving shaft affects the stability of system, the vibration amplitudes decrease with the increase of angular acceleration.The research work makes sense in confirming the dynamic stability of misaligned shafting driven by universal joint during transient process.