为研究刨煤机系统工作特点,将刨煤机系统简化为纵向振动的连续模型,建立了刨煤机纵向波动方程,根据双端驱动刨煤机系统特点,确定了稳定工况下的波动方程边界条件、衔接条件及初始条件,采用分离变量法对稳定工况下波动方程进行求解,获得了方程的解析解.研究结果表明:通过对得到稳定工况下刨煤机各点位移,速度及张力变化特性与有限元法及实验进行对比分析,振动规律一致,验证了模型的准确性. In order to study the working characteristics of the plow system, the plow system is simplified as a continuous model of longitudinal vibration, and the longitudinal wave equation of the plow is established. According to the characteristics of double-end driven plow system, the wave equation under steady conditions Boundary condition, jointing condition and initial condition, the variable equation method is used to solve the wave equation under steady conditions, and the analytical solution of the equation is obtained. The results show that: Compared with the finite element method and experiment, the variation characteristics of tension are consistent with those of the experiment. The vibration law is consistent and the accuracy of the model is verified.