阻尼振动

Based on theory of simple harmonic oscillation in physics,this paper presents a novel model for production decline prediction given by deformation of critical damping oscillation equation which is predigest.

基于物理学中的简谐振动原理，提出了把阻尼振动方程中的临界阻尼振动方程变形得到一种新的产量递减模型，可简化为Arps指数递减形式，经实例计算，可以用来预测油田产量，以此指导油田开发和管理。

In this paper, it is pointed out that the accuracy of measurement must be considered for the discussion about the restitution time of damped vibration, and it is in the "critical state of weakly damped vibration" defined by this paper, not the critical damping state, that the restitution time is the shortest.

1 问题的提出和回复时间的定义众所周知，阻尼振动按阻尼的大小可分为弱阻尼、临界阻尼和过阻尼三种情形。几乎所有的教材均指出，临界阻尼运动是物体刚能不做周期性运动而又最快地回到平衡位置的运动，也即其回复时间最短。

Based on theory of simple harmonic oscillation in physics, this paper presents a novel model for production decline prediction given by deformation of critical damping oscillation equation which is predigested to Arps exponential decline form.

基于物理学中的简谐振动原理，提出了把阻尼振动方程中的临界阻尼振动方程变形得到一种新的产量递减模型，可简化为Arps指数递减形式，经实例计算，可以用来预测油田产量，以此指导油田开发和管理。

The motion of a type of nonlinear damped oscillation is analyzed to resort the method of numerical analysis, and compared it with the motion of the linear damped oscillation.

摘要用数值分析方法分析一类非线性阻尼振动问题，与线性阻尼振动进行比较，得到非线性阻尼振动状态每次过θ=0位置的时刻稍后于线性阻尼振动状态。

The motion of a type of nonlinear damped oscillation is analyzed to resort the method of numerical analysis,and compared it with the motion of the linear damped oscillation.

用数值分析方法分析一类非线性阻尼振动问题，与线性阻尼振动进行比较，得到非线性阻尼振动状态每次过θ=0位置的时刻稍后于线性阻尼振动状态。

The stability and accuracy of four explicit integral methods for damped vibration equation is analyzed and compared, and their scopes of application and effect of damping on their stability are discussed.

本文针对用于求解有阻尼振动方程的四种常用显式积分方法的稳定性和精度进行了分析对比，并讨论了其适用范围及阻尼对其稳定性的影响。

Firstly, this paper researched the mechanism of tubing string vibration when natural gas flows in horizontal well tubing string. Secondly, established whole tubing string undamped and damped vibration system model according as reasonable assumption data of one horizontal well. Apply finite element analysis software to calculate tubing string natural characters, simple harmonic dynamic behavior of stable gas production and nonlinear dynamic behavior. Finally, this paper carried out the safety varied frequency of gas well and the method of vibration reduction.

本文首先从理论和数值模拟研究了天然气在水平井油管柱内的流动诱发油管柱振动的机理，然后在合理假设的基础上结合某水平井数据建立了全井段油管柱无阻尼和有阻尼振动系统模型，利用有限元软件计算分析了油管柱固有特性、稳产简谐动力学响应和非线性动力学响应，针对油管柱振动规律提出了天然气安全调节频率范围和减振措施。

Vibration into free vibration, vibration and forced vibration damping.

振动分为自由振动、阻尼振动和受迫振动。

A matrix which has a set of complete eigenvector system can be similar orthogonally to a diagonal one through reduce it to Jordan＇s normal form, and based on this property, the reducing matrix was taken as the transformation one.

针对非经典阻尼振动线性系统，为消除非经典阻尼项给求解带来的困难，通过引入矩阵函数变换消除了原系统的阻尼条件项，将非经典阻尼振动微分方程转化为拟时不变经典阻尼方程。

On the basis of established statics model , this paper sets up the vibration model without and with liquid friction and the simulation and experiment have been done .

在已建立的静力学模型基础上，建立了微机器人的无阻尼振动模型和有阻尼振动模型，并进行了相关的仿真和实验研究。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。