运动方程

Paul势阱中激光冷却离子的运动方程及数值结果

Equation of Motion and Numerical Results of Two Laser-cooled Ions in a Paul Trap

从经典LC并联电路的运动方程出发，将介观LC并联电路量子化。

Starting from the classical equation of motion , the mesoscopic parallel LC circuit is quantized .

具体方法是通过悬链线理论和B样条拟合求得浮筒所受的锚链力，然后求解结构的时域运动方程得到结构物的运动响应和锚泊系统的内部应力。

The mooring force on buoy is calculated in use of the catenary 's theory and B-Spline functions fitting , then the motion equation is solved in time domain .

包括考虑了相对论条件下的电子运动方程和反向辐射影响下的线路方程，以及高频电子流n次谐波的复振幅方程，并进行了归一化。

The equations include the circuitry equation considering reverse radiate and moving-electron equation considering relativity , and the complex amplitude equation of n harmonics in high frequency electron current .

建立了双杆摆的欧拉-拉格朗日运动方程，利用Matlab软件对欧拉-拉格朗日运动方程进行数值计算，给出摆球的轨迹及其相图。

Build a Euler-Lagrange motivation function of double pendulum and numerically calculate the function for Matlab software , gives the trajectory and phase diagram of the motivation .

同时，本文导出了玻色弦在一般弯曲时空中的运动方程，为广义Lorentz方程、

The motion equation of bosonic string in the curved space-times is obtained , it is a general Lorentz equation .

基于一种典型的自动增益控制（AGC）环路的模型，采用对数表示方式，简化了AGC环路的静态微动方程和动态运动方程。

Based on a typical model of automatic gain control loop , AGC loop static micromotion equation and dynamic motion equation were simplified using the logarithm expression .

并联机构机电耦合动力学计算结合定参数PID控制器方程和具有陀螺效应的不对称转子运动方程形成了电磁轴承支承的转子系统的机电耦合动力学方程。

The Electromechanical coupling dynamic equations of the rotor system supported by electromagnetic bearings are obtained by combining the equations of the PID controllers with invariable parameters and the motion equations of the un-symmetric rotor with gyro effect .

本文应用Hamilton原理，推导了全覆盖双层约束阻尼悬臂梁的运动方程，对模型进行了实验验证；

In this paper , The differential equations of motion of a fully covered damped sandwich-type cantilever beam are derived employing Hamilton 's principle . The model is validated experimentally .

在世界面上，超弦的Euler-Lagrange运动方程与Maurer-Cartan方程存在着互为对偶的对称性。

There is mutually dual between the Euler-Lagrange equation of motion and the Maurer-Cartan equation .

导数空间的万有D′Alembert原理及其任意阶非完整系统运动方程

The Universal D'Alembert Principle in Derivative Space and Equation of Motion for Any Order Nonlinear Nonholonomic Systems

通过对系统Hamiltonian进行一规范么正变换，并求解荧光场算符的运动方程，从而得出双光子共振荧光的频谱及强度分布。

The spectrum and intensity distribution off two-photon resonance fluoresence is obtained by a canonical transformation of the Hamiltonian of the system and from the solution of the Heisenberg equations of fluoresence field operators .

基于二次型性能指标最优控制原理，针对离散后的运动方程在零平衡点附近Jacobian矩阵的非时变部分设计了最优控制器。

On the basis of linear second order optimal control theory , the control system is designed in accordance with the time variant part of the Jacobian matrix of the discretized equations at zero point .

无需计算Jacobi椭圆函数，得到了无阻尼单摆运动方程的14种借Jacobi椭圆函数、双曲函数和三角函数表示的精确解。

Without calculating the Jacobi elliptic functions , 14 kinds of exact solutions expressed by various Jacobi elliptic functions , hyperbolic functions and trigonometric functions of the undamped single pendulum equation of motion are obtained .

模拟中采用EAM势函数描述原子间的相互作用，采用Velocity-Verlet算法求解系统运动方程。

The EAM potential function is utilized to simulate the inter-atom interactions , and the Velocity-Verlet algorithm is used to solve the equation of system motion .

运用多能级粒子数运动方程组，分别计算和分析了三种多能级过程（双激子、浸润层泄漏以及俄歇俘获过程）对量子点中Rabi振荡衰减的影响。

By using population dynamic equations of multi-level system , the effect of three kinds of multi-level processes on the damping of Rabi oscillation in quantum dots are numerically simulated and discussed .

系统根据目标运动方程产生一定轨迹的飞行目标，在模拟的雷达PPI显示器中显示目标回波，运用多线程技术，实现目标的捕获跟踪模拟。

According to the object movement equation , the system created object flying trace , displayed the object echo in simulation radar PPI , and adopted multithread technology to realize the simulation of object capture and track .

本文中，我们考虑了Lorentz局域场效应的影响，在Liouville运动方程的基础上用微扰理论分析了一个三能级系统的非线性响应。

In this paper , we analyze the nonlinear response of a three-level A model system , using a perturbation theory based on the Liouville equation . of motion and considering the Lorentz local field effect .

在给出载流薄板的磁弹性非线性运动方程，电动力学方程的基础上，通过变量代换将描述载流薄板的磁弹性状态方程整理成含有10个基本未知函数的标准柯西（Cauchy）型。

Based on the nonlinear magneto-elastic kinetic equations and the electrodynamics equations of thin current-carrying plates , the nonlinear differential equations of normal Cauchy type , which includes ten basic unknown functions , are obtained by means of variable replacement method .

其中，主要的研究成果如下：1.从密度矩阵形式的运动方程出发，在非正交的Gaussian原子轨道基函数下发展了基于含时密度泛函理论的解析的激发态能量一阶导数的方法。

The main results are presented as follows : 1 . Starting from the equation of motion in the density matrix formulation , we reformulate the analytical gradient of the excited-state energy at the time-dependent density functional theory level in the nonorthogonal Gaussian atom-centered orbital ( AO ) basis .

分析表明，高颗粒雷诺数下的粒子非恒定运动方程为非线性奇异积分方程，而当颗粒雷诺数小于1时，则线性化为第二类渥尔特拉（Volterra）积分方程。

It is analytically demonstrated that at high particle Reynolds number the particle transient motion equation is a nonlinear integral equation with singularity , while it is simplified to the second Volterra integral equation when particle Reynolds number is smaller than unit .

同时利用KEP运动方程对高度和动压进行控制，以便满足自动着陆的要求。

At the same time , the altitude and dynamic pressure are also controlled by Kernel Extraction Protocol equations of motion to satisfy the requirements of AutoLanding .

在考虑支座变形的条件下.建立了液压粘弹性控制系统（HVES）与受控结构所组成的控制体系的运动方程；

In this paper , the equation of motion of a control system composed of HVES and controlled structure is developed taking the support deformation into account .

将叶轮转子系统简化为Jeffcott转子，建立了不平衡离心叶轮转子在非线性横向流体激振力和非线线轴承油膜力作用下的振动模型，并推导了系统的无量纲运动方程。

A centrifugal impeller system is simplified to a Jeffcott rotor system . The dynamic model of this eccentric centrifugal Impeller-rotor with both nonlinear lateral fluid force and nonlinear oil-film force is built and dimensionless equations of the system are derived .

然后，从横航向运动方程入手，推导出了地面和空中最小操纵速度的计算公式，并以H6飞机为例进行了计算。

Then , the calculating formulas of minimum control speed on the ground and in the air are conducted by using the non symmetric thrust flight 's lateral directional motion formulas .

根据卫星编队飞行的线性化的相对运动方程（C-W方程），能得到任意时刻相对状态协方差矩阵和相对位置误差矢量的协方差矩阵。

According to the linearized relative motion equation of the formation flight ( C-W equation ), any time the relative state covariance matrix and state transition matrix can be got , thus , any time the relative vector covariance matrix will be able to calculate .

在求解水流泥沙运动方程时，采用控制体积法（SIMPLEC程式）及动边界技术，对水流速度场、悬移质浓度场及河床变形进行了数值模拟。

The control volume method ( SIMPLEC ) and movable boundary technique were used in solving the equations of water and sediment movement . The velocity field , the concentration field of the suspended load and the river-bed deformation were simulated .

用耦合簇运动方程计算分子的多光子吸收截面

Multi-photon absorption cross sections calculated by coupled-cluster equation of motion method

驻波场中两能级原子运动方程及其解

Solution of Movement Equation of Two-Level Atoms Through Standing Wave Field

弱非完整系统的运动方程及其近似解

Equations of motion for weak nonholonomic systems and their approximate solution