考虑钻柱的纵向振动、横向振动及扭转振动之间的耦合关系，建立了钻柱振动分析的综合模型。
A general model is developed to analyze drill string vibration considering the coupled relations between longitudinal vibration, lateral vibration, and twisting vibration.
并给出计算任意组合钻柱系统的轴向振动稳态响应的一般方法，提供不同测量条件下分析钻柱轴向振动状态的不同方法。
The calculation method of drilling string axial vibration is given. Meanwhile, the different methods of analysing drilling string axial vibration state are supplied in different surveying condition.
文章研究深井钻柱的振动问题，以深井钻柱为研究对象，分析研究了钻柱的纵向振动、横向振动及扭转振动。
Drill string vibration of deep Wells is studied in the article. The axial vibration, lateral vibration and torsional vibration of drill strings are analyzed.
从理论上分析了轴向载荷存在的情况下钻柱横向自由振动的规律，获得了钻柱横向振动固有频率。
The rule of lateral vibration under axial load was studied in theory, the inherent frequency of drilling string was obtained.
以洼38区块洼38-东h 2水平井为例，分析了钻井工程中侧钻水平段情况下的钻柱的振动，建立了各种振动的模型，获得了各种振动的规律。
As an example to Wa38-east H2, the variety of vibration is analyzed by using ANSYS, the model of vibration is established, the rules of vibration are obtained.
本文利用有限元方法分析了钻柱轴向振动规律。
In this paper, the regularity of longitudinal vibration was analyzed by using finite element method.
以大位移井近井底的钻柱为研究对象，分析了钻柱振动行为所遵循的规律。
This article takes the near-bottom drill string in an extended reach well as the subject to study the drill string vibration rules.
分析公式表明，钻柱横向线性振动仅是钻柱横向非线性振动的一种特殊情况；
Therefore the nonlinear lateral free vibration of drill stem is investigated by the perturbation method.
分析公式表明，钻柱横向线性振动仅是钻柱横向非线性振动的一种特殊情况；
Therefore the nonlinear lateral free vibration of drill stem is investigated by the perturbation method.
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