Abstract: In order to study the influences of multiple interactions among coal and rock and velocity effects on the flutter stability of the cutting head of a cantilever tunneling machine, the physical characteristics of coal and rock, structural parameters of the cutting head, and motion parameters of the cutting head were considered. The functional expressions of the cutting depth of the cutting head and the participating cutting teeth was fitted, and the mechanics characteristic equations of the cutting state for dynamic cutting of the cutting teeth was established. Cutting dynamics models were constructed that included multiple interactions and velocity effects between the cutting head and coal rock based on the mapping relationships between the cutting teeth and the cutting head. An improved discretization method based on Newton Lagrange mixed interpolation was proposed to elucidate the influences of the coupling effect of regeneration effect and velocity effect on the stability of cutting flutter in the cutting states. The superiority of the improved fully discrete method based on mixed interpolation method was demonstrated by comparing with the fully discrete and semi discrete methods. The influences of dynamic parameters of different cutting systems on stability were studied based on the improved fully discrete method. Based on the theory of similarity experiments, a cutting head coal rock system cutting experimental platform was built to simulate the vibrations of the cutting system. The results show that the improved fully discrete method constructed may effectively predict the actual cutting state.

Key words: cantilever roadheader, flutter, dynamic cutting, cutting stability

摘要： 为了研究悬臂式掘进机截割头煤岩多重交互与速度效应对截割头颤振稳定性的影响，考虑煤岩物理特性、截割头结构参数、截割头运动参数，拟合截割头截割深度与参与截割截齿的函数表达，建立了截齿动态截割的截割状态力学特性方程，并基于截齿截割头映射关系，构建了包含截割头煤岩多重交互与速度效应的截割动力学模型。提出了一种基于牛顿拉格朗日混合插值的改进离散方法，阐明了截割状态下再生效应与速度效应的耦合作用对截割颤振稳定性的影响规律。将改进全离散方法与全离散法、半离散法进行对比，证明了基于混合插值方法的改进全离散法的优越性。基于改进全离散法研究了不同截割系统动力学参数对稳定性的影响。基于相似试验理论，搭建截割头煤岩系统截割实验台，进行了截割系统颤振模拟实验。结果表明，构建的改进全离散方法能够很好地预测实际截割状态。

关键词: 悬臂式掘进机, 颤振, 动态截割, 截割稳定性