The implicit expression of displacement of string vibration was established by the time integration method.
由时间积分法建立了弦振动位移的隐式表达式。
This article takes the near-bottom drill string in an extended reach well as the subject to study the drill string vibration rules.
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。
Drill string vibration is a common phenomenon in the process of well drilling. Drilling string resonance is the main reason of the drilling string failure.
钻柱振动是在当前钻井工程中的普遍现象，对钻井的影响很大，钻柱共振是钻柱失效的主要原因。
Drill string vibration of deep Wells is studied in the article. The axial vibration, lateral vibration and torsional vibration of drill strings are analyzed.
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。
A problem about tubing string vibration caused by the fluid unsteady flow inside tubing string is studied from the Angle of solid liquid coupling vibration in dynamics.
文章从动力学中固液耦合振动的角度出发，研究了油管柱内流体不稳定流动引起的油管柱振动问题。
A general model is developed to analyze drill string vibration considering the coupled relations between longitudinal vibration, lateral vibration, and twisting vibration.
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。
The accurate estimate of the drill string vibration and the corresponding technique are very important to protect the FEWD equipment and increase the comprehensive efficiency.
准确判断井下钻具振动并采取相应的技术措施对于有效保护FEWD测量仪器、提高钻井综合效益具有重要意义。
Our research demonstrate that the drill string vibration is forced vibration, it needs to consider the rock-drill bit-drill string-swivel as the "drill string vibration system";
研究认为钻柱振动是一受迫振动问题，需要将井底岩石-钻头-钻柱-水龙头作为一个“钻柱振动系统”来对待；
From which the mathematical models like wave equation, natural frequency equation and tubing string vibration displacement equation used to describe the tubing string vibration laws have been educed.
推导出了描述油管柱振动规律的波动方程、固有频率方程、油管柱振动位移方程等数学模型。研究了引起油管柱产生共振的激励频率与油管柱固有频率的关系等。
The modes of vibration in that string are quantized.
在那条弦上的震动模式是量子化的。
He had spent hours listening to the vibration of a single string plucked against a variety of backgrounds-hollow wood, solid wood, aluminum, steel.
他花很多个小时听一根弦在不同背景下的振动——空心木，实心木，铝，钢。
Bear with us, therefore, for your own sake, when we tell you in great detail about such seemingly unimportant things as the vibration of a harp string.
因此，为了你们自己，请耐心等待我们，当我们极其详尽地告诉你们一些看似并不重要的东西，比如一根竖琴弦的振动。
This paper analyzed the practical situation of drilling string lateral vibration during drilling, established mechanical model.
文章针对钻井工程中钻柱横向振动的实际情况，建立力学模型。
In consideration of the effect of liquid dynamic pressure on the tubing string vertical vibration, the differential equation and frequency equation for describing the vibration are set up.
考虑液动压力对油管柱纵向振动的影响，建立了油管柱纵向振动微分方程，并给出了这种情况下油管柱纵向振动的频率方程。
The motions of a loudspeaker cone, drumhead and guitar string are good examples of vibration that cause sound.
喇叭芯、锣鼓皮、和吉他弦的震动，都是震动产生了声音的绝好例子。
Dynamic vibration equation of drilling string is established based on the theory of dynamics.
根据动力学理论建立钻柱动力学振动方程。
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.
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。
At present, axial load and excited origin of drilling string lateral vibration is usually neglected.
目前对钻柱横向振动的研究基本上忽略了横向振动的激发来源和轴向力的存在。
During the horizontal drilling, the vibration of drilling string will easily cause the damage on the FEWD equipment and a huge economic loss.
在水平井地质导向钻井过程中，井下钻具振动易导致井下FEWD测量仪器损坏，造成巨大经济损失。
You can think of it as something like the vibration of a string after it has been struck.
你可以将“正后像”视为拨动后琴弦的振动。
On the basis of the interaction model between formation and rock bit, a lateral vibration dynamic model of the rock bit was established under the interaction between drilling string and rocks.
在建立牙轮钻头与井底岩石互作用模型的基础之上，建立了基于钻柱和岩石互作用下的牙轮钻头横向振动动力学模型。
The results show that longitudinal vibration of drill string is relative to rotary speed and weight on bit (WOB).
实验结果表明，钻柱的纵向振动主要与转速和钻压有关。
This paper conducted a study on vertical vibration table test of the bi-directional beam string structure of the national gymnasium plane size of 11.
传统的模拟地震振动台试验，由于受振动台台面尺寸的限制，平面尺寸一般不大，作者利用多子台振动台台阵系统对国家体育馆双向张弦梁结构屋盖模型平面尺寸11。
The rule of lateral vibration under axial load was studied in theory, the inherent frequency of drilling string was obtained.
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 influence of damper with different pressures and positions on damp vibration of piano string is studied.
研究了止音毡压力及位置对钢琴琴弦阻尼作用的影响。
Based on theory of vibration mechanics, this paper analyzes the vibration mechanics model of rod string systematically.
从振动力学的理论出发，对现行抽油杆柱的振动力学模型进行了系统分析。
Transverse vibration control of an axially moving string system by Lyapunov method;
综述轴向运动弦线纵向振动及其控制问题的研究进展。
Then, the vibration law is applied in the field. The study provides the theoretical ground for deep Wells to reduce the drilling string failure and optimize the drilling string design.
然后，结合实际对振动规律进行了应用，该研究为减小深井钻具损坏和优化钻具设计提供了理论依据。
On the basis of the analysis of the twisting vibration of rotary sucher-rod string, a formula of calculating every harmonic vibration eigenfrequency is presented.
在对旋转抽油杆柱的扭转振动分析的基础上，给出了各阶扭转振动固有特性参数的计算式。
On the basis of the analysis of the twisting vibration of rotary sucher-rod string, a formula of calculating every harmonic vibration eigenfrequency is presented.
在对旋转抽油杆柱的扭转振动分析的基础上，给出了各阶扭转振动固有特性参数的计算式。
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