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为研究机车打滑时传动系统扭转与轮对纵向耦合运动作用下传动系统的稳定性,建立了机车单轮对传动系统动力学模型,考虑了轮对回转与纵向振动自由度,对非线性系统微分方程在平衡点附近线性化,并根据线性化系统在状态空间中的特征值判断系统的稳定性,绘制了振动系统临界稳定曲线。分析结果表明:由于轮轨粘着系数的负斜率,传动系统的扭转振动与轮对的纵向振动为不稳定的自激振动,两者与轮对运行速度和轴重有关,速度越大,轴重越小,振动越稳定,因此,传动系统的扭转与轮对的纵向阻尼能很好抑制这种自激振动。
In order to study the stability of the transmission system under the action of the torsion of the transmission system and the longitudinal coupling movement of the wheelset during locomotive slipping, a dynamic model of the locomotive single-wheel-to-transmission system is established, taking into account the degree of freedom of wheelset rotation and longitudinal vibration, The equation is linearized near the equilibrium point, and the stability of the system is judged according to the eigenvalues of the linearized system in the state space. The critical stability curve of the system is plotted. The results show that due to the negative slope of the wheel-rail adhesion coefficient, the torsional vibration of the transmission system and the longitudinal vibration of the wheelset are unstable self-excited vibration, both of which are related to the running speed and axle load of the wheelset. The smaller the vibration, the more stable the vibration. Therefore, the torsion of the transmission system and the longitudinal damping of the wheelset can well suppress such self-excited vibration.