运动方程

In the functionally graded elastic half-space and the functionally graded covered layer, the motion control equations for the antiplane shear wave are solved, the analytical solutions for displacement and stress are obtained, and with these analytical solutions, the dispersion equation of Love wave is obtained.

对功能梯度弹性半空间和功能梯度覆层的反平面剪切波的运动控制方程进行了求解，给出了半空间和覆盖层的位移、应力解析解，给出了Love波在该解析解下的频散方程。

Due to the symmetry of the plate, there are symmetric and antisymmetric mode vibrations with respect to the median plane of the plate.

首先建立了在偏压电场作用下压电介质的运动微分方程，进而根据对称模态和反对称模态的特点，分别在自由表面电学开路和电学短路情况下得到了Lamb波传播的相速度方程。

By means of variable substitution, it is found that the differential equation of motion is a Bessel equation. Based on the equation, responses of elastic displacement, velocity, acceleration of skip and cable tension close to sheave were deduced.

通过变量代换，发现箕斗运动微分方程是可求解的Bessel方程，从而得到了装载过程中箕斗的弹性位移、速度、加速度和天轮处钢丝绳的张力的解析表达式。

The general solution of dynamic equation for the cableway under the condition of a single moving load is obtained by means of the small parameter method.

用小参数法求出了单个运动载荷作用下的索道动力方程的一般解，建立了多个货车通过索道时的动力方程。

Analyse the tooth geometry of Klingelnberg Cyclo-Palloid spiral bevel gear.,according to the relative position and kinematic relation of the cutter heads,virtual crown gear and the processed wheel blank,established the system of coordinates of the gear cutting, dedcuced the tooth face equation of the virtual crown gear, according to relations of the gear cutting and space theory of engagement, deduced the tooth face equation of klingelnberg Cyclo-Palloid spiral bevel gear, and drawing the three-dimensional graphs of the virutal crown gear and Klingelnberg Cyclo-Palloid spiral bevel gear according to the design and setting parameters.

根据铣齿加工中刀盘、摇台和轮坯的相对位置和相对运动关系建立了切齿啮合坐标系，由矢量的旋转推导了产形轮齿面方程；根据空间啮合原理和切齿啮合关系推导了被加工齿轮的齿面方程；由设计参数和铣齿调整参数计算得到齿面离散数据，绘制了产形轮和摆线齿锥齿轮的三维齿形。

The motion of a discrete curve in Minkowski space is first introduced. Then by identifying the spin vector of HF models with the unit vectors of discrete curve, respectively, we obtain the corresponding DNLS.

我们将主要考虑闵可夫斯基空间中离散曲线的运动情况，并利用离散曲线的单位矢量分别替代离散的MHF方程中的自旋矢量，给出相应的离散非线性薛定谔方程，从而建立了两者之间的几何等价性。

By use of dynamic wave equation,the general slope flow equation is derived by matrix theory.

采用运动波方程，用矩阵理论推导出坡面流的一般方程，结合森林生态系统的功能，分析了坡面流的局部损失和总阻力，为研究森林控制非点源污染输移提供了理论依据。

Traffic momentum differential equation and Euler′s equation are constructed by means of differential calculus.

通过对交通流参数的微分分析，建立了交通流的运动微分方程和欧拉方程。

Based on the theory of tidal flow and sediment motion, a 2-D depth-integrated mathematical model for the Jiaojiang Estuary is developed by using explicit scheme of finite difference on the triangle elements. The results show that the rotary currents occurring in this area can be simply and effectively simulated by the model. Meanwhile, the suspended sediment concentration simulated is in agreement with the field data.

本文根据椒江口实测水文地形资料，从平面二维水流泥沙基本方程和基本理论出发，采用三角单元有限差分法对水流泥沙方程显示求解，对椒江口潮流泥沙进行了数值模拟，模型简单实用，较好地再现了具有旋转潮波性质的椒江河口水流运动特征，含沙量场也得到了基本正确的反映。

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。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。