【摘要】 国内在研究钻头钻进岩石时着重研究钻头与岩石相互作用，没有考虑因钻柱振动带来的影响；而国外没有考虑钻头与岩石作用来研究钻柱振动，而且假设激振源为周期性的，都偏离实际。该文从建立符合实际的下端边界条件人手，着重研究了钻柱的纵向振动。用有限单元法，求出整体质量、整体刚度，整体阻尼矩阵采用的是比例阻尼矩阵，利用牛顿法得到钻柱的振动方程，并利用Ｈｏｕｂｏｌｔ数字解法模型求解了振动微分方程。根据上述模型编制了用于分析钻柱纵向振动的计算机仿真软件，并进行了大量仿真实验，通过对实验结果分析得到了有意义的结论。更多还原

【Abstract】 The researchers at home and abroad regard the end of drill string (DS) as hinge and assume that the excitation is periodic, which is by far from reality. This paper emphasizes the longitudinal vibration of DS with actual boundary condition of the lower end of DS. The whole mass matrix and stiffness matrixes are obtained, from which the proportional damping matrix is also obtained. The real condition of the lower end of DS is obtained by studying the interaction between roller cone bit and rock. The vibration equation is dissolved with HOUBOLT method, which is a sort of numerical solution method. We developed a simulation software according to the above vibration model. A lot of simulating experiments has been carried out . Some meaningful results are obtained which will guide drilling operation.更多还原