从动力学观点出发,分析了钻杆的横向振动。用位移法求得钻杆的基频和相应的转速,确定了钻杆的长度、轴压和转动惯量与转速的关系,从计算可看出:由凿岩理论和动力学计算出的工作转速基本上一致。在钻杆长度相等的条件下,随轴压增加,其临界转速降低;在轴压为定值时,转速与杆长呈指数曲线关系变化。该法计算简捷,可为钻机的设计和自动控制提供参考。 From the viewpoint of dynamics, the horizontal vibration of drill pipe is analyzed. Determine the relationship between the length of drill pipe, axial pressure and moment of inertia and rotation speed by the displacement method to obtain the fundamental frequency of drill pipe and the corresponding rotation speed. It can be seen from the calculation that the working speed calculated by drilling theory and dynamics Basically the same. With the same length of drill pipe, the critical speed decreases with the increase of axial pressure. When the axial pressure is constant, the relationship between speed and rod length changes exponentially. The method is simple and can be used as a reference for the design and automatic control of drilling rigs.