查询词典 motion equation

Based on the Volume of Fluid Method, the wave damping absorber of the numerical wave flume for irregular waves has been investigated. Setting the Turbulence motion equation and the Renault equation as the governing equations and using the wall function technique in the near-wall region, an absorbing wave-maker is set at the left side of the flume.

本文对基于VOF方法的不规则波数值波浪水槽进行了阻尼消波研究，以湍流运动方程一雷诺方程为控制方程，在近壁区应用壁函数技术，在数值波浪水槽的左端设置了主动吸收式造波机。

Continuity equation and motion equation which can be applied to cone-shaped pipes are obtained and finite difference method for them is brought forward.

根据非稳定流的一维流动理论，对圆锥形管道中的瞬变流动进行了分析，推导出了适用于圆锥形管道的连续性微分方程和运动微分方程，给出了这两个方程的有限差分解法，同时对计算结果进行了相对误差的对比分析。

From the motion equation of the bar which vibrates one-dimensionally and longitudinally, the model of mechanical four-terminal network and the transfer equations are set up, and the natural frequency equation of coniform horn and the ratio of speed of vibration are derived.

从变截面杆作一维纵振动的运动方程出发，建立机械四端网络的数学模型及传输特性方程，导出了圆锥形变幅杆的频率方程和振速比。

The stability of the open ladder inversionless lasing system was analyzed by using the steady state solution of the density matrix motion equations of this system and the motion equation for the laser field.

利用开放的ladder型无反转激光系统的密度矩阵运动方程组的定态解和激光场运动方程分析了系统的稳定性。

Transversely isotropic ; layered saturated ground ; Biot's motion equation ; elastic circular plate ; Fredholm integral equation

横观各向同性；饱和层状地基； Biot动力方程；弹性圆板； Fredholm积分方程

Then the momentum P in the acquired motion equation is replaced by quantum operator, thus we obtain Schrodinger equation for charged particle moving in magnetic fields in Quantum Mechanics. Then we discuss the Gauge transformation and gauge invariance of Schrodinger equation, following which the Dirac phase is introduced.

然后把经典力学中的哈密顿量量子化，得到量子化的带电粒子在磁场中运动的薛定谔方程，之后是薛定谔方程的规范变换和规范不变性，并引入Dirac不可积相因子的概念。

For intramolecular electron transfer reactions in solution,the fluctuations of the intramolecular vibrational modes are much faster than that of solvent mode.Thus,the reaction-diffusion equation is commonly used to describe the motion of solvent,with a sink function to treat the vibrational high-frequency mode.Based on this theory-so -called the Sumi-Marcus theory,we proposed an imaginary-time split operator approach to solve the reaction-diffusion equation.The approach is applied to evaluate the intermolecular ET rate between oxazine 1 and N,N-dimethlaniline.By measuring the two average survival times of the donor state probability and the rate constant in long time limit,the full kinetics of the ET is revealed with a variety of sink functions.

对于扩散控制的溶液中的电子转移反应，分子内振动模的运动比溶剂运动快很多，Sumi-Marcus理论提出用反应扩散方程(reaction-diffusion equation)处理溶剂的扩散运动，而分子内的振动用sink函数来表示，我们基于此理论发展了用虚时间分裂算符的方法(imaginary-time Split operator approach)解反应扩散方程，并将其应用于嗪1(oxazine 1，OX1)和N，N-二甲基苯胺分子之间的电子转移反应，Sink函数采用几种不同的微扰表达式，通过计算得到给体几率衰减的两种平均速率和长时间极限下的速率常数，揭示了该体系电子转移过程中的一些动力学性质。

The noise frequency modulation signal was particularly analyzed. The Fokker-Planck equation of noise frequency modulation was presented and the Motion-Group Fourier Transform was used by converting the partial differential equation into the variable coefficient homogenous linear differential equations. Then the solutions were given by using the peano-baker series. So the probability density function of noise frequency modulation in the filter was given. On the basis of the probability density function the stochastic resonance of noise frequency modulation signal is analyzed.

首先建立了噪声调频干扰信号通过脉冲压缩雷达中频滤波器后所满足的福克尔－普朗克方程，然后利用群移傅立叶变换（Motion-Group Fourier Transform，MGFT）将此偏微分方程化成了变系数齐次线性微分方程组，并利用Peano-Baker级数法给出了该方程组的解，最后得到了噪声调频干扰信号通过脉冲压缩雷达中频滤波器后的概率密度函数，在此基础上研究了噪声调频干扰信号造成的随机共振现象。

The main contents and results of research in this paper are shown as following: It is important to built the motion model of a virtual system. As the virtual object is the submarine in this simulation system, we studied on the motion model of the submarine and gave the submarine six DOF space motion equation MultiGen-Paradigm corporation's modeling software named Creator is used, the modeling of all entities and 3D terrain in virtual ocean environment is accomplished. Then introduced the theory of Large Area Database Management and realized the Large area database management; In the course of 3D scene simulation, Vega is utilized to develop the project. The building of 3D scene is done, which includes the simulation of static and dynamic ocean surface, realization of ocean wave, simulation of bow wave and stern wake, utilization of lighting and material, simulation of cloud and fog, kinematics' modeling of submarine etc.

论文的主要研究工作和成果包括以下一些内容：建立虚拟对象的运动模型是构造一个虚拟系统的关键所在，建立的运动模型准确与否直接关系仿真对象模拟的逼真度，由于本仿真系统的虚拟对象是潜艇，所以对潜艇的运动模型进行了研究，给出潜艇空间六自由度运动方程；利用MultiGen-Paradigm公司的Creator建模软件完成虚拟海洋环境中个实体模型建模和三维海底地形模型的建模；然后介绍了大地形数据库管理(LADBM，Large Area Database Management)技术的基本原理，实现大地形数据库管理；在三维场景仿真中，使用Vega驱动软件进行软件开发，完成了三维场景空间的建立，主要包括动态和静态海洋的仿真、海浪、船首波浪和传尾尾迹的实现，灯光和材质的使用，云和雾的模拟等。

Nonlinear partial differential dynamic equations of bending vibration of a tilting stepped drive shaft with two supports were built under non-inertia movement coordinate system by theorem of the motion of mass center and Heaviside function. According to the condition of equal displacement in an adjoining plane of the shaft, an equivalent shaft and its equation were obtained. A motion equation of the equivalent shaft was obtained by method of Galerkin. An approximate steady-state solution of the main resonance was obtained by method of multiple scales. The influence factors, motion stability, amplitude jump of main resonance of a stepped drive shaft and so on were analyzed.

用质心运动定理、Heaviside函数建立了非惯性系下倾料两端支承阶梯传动轴的非线性弯曲振动偏微分动力学方程，并根据相邻轴段的衔接面处位移相等的条件，得到阶梯轴的当量轴及其动力学方程；用Galerkin法得到当量轴的弯曲运动方程，用多尺度法求得稳态下当量轴的主共振的一次近似定常解，分析了影响阶梯传动轴主共振的因素、运动稳定性、振幅突变性等。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。