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介绍了钻井过程中钻头和钻柱扭转振动模型的建立方法和对其进行仿真分析的过程。在建模型时主要考虑了钻井过程中由于钻头与岩石相互作用及钻柱的弹性变形而引起的钻头和钻柱扭转振动，并采用数值计算方法求解钻柱扭转振动模型，完成了钻头和钻柱扭转振动仿真分析软件的设计，并实现了对牙轮钻头和钻柱在不同工况下的扭转振动仿真分析计算，得到了牙轮钻头和钻柱在钻井过程中的运动规律和动力学特性
The establishment method of drilling and drill string torsional vibration model and the process of its simulation analysis are introduced. In the model building, the torsional vibration of drill bit and drill string due to the interaction between drill bit and rock and the elastic deformation of drill string are mainly considered during the drilling process. The torsional vibration model of drill string is solved by numerical calculation. The drill bit and drill string The torsional vibration simulation analysis software is designed and the torsional vibration simulation analysis and calculation of roller bit and drill string under different working conditions are realized. The law of motion and dynamics of roller bit and drill string during drilling are obtained