运动方程

The similarity conditions of geometry, flow movement and dynamics of air bubbles are analyzed.

从气体运动状态方程出发，研究了竖井有压流动模型中气水两相流的运动规律，分析了气泡几何相似、运动相似以及动力相似的条件，指出掺气浓度相似律是研究气水两相流相似问题的又一必要条件，即原、模型的掺气浓度必须相等，前提为大气压强或密度相似。

Redundant driving structure designed based on a new type of universal Cartesian serial-parallel manipulator, kinetics equations and Euler equations constructed, complete analysis of each jointed points of the moving platform carried out, inverse kinetics solution can be obtained with the given parameters, which include the position and orientation of the manipulator, applied force on the output shaft, parameters of motion of output shaft and connecting bar and sliding block, computer programming adopted to get the valid data and its figure, thus found the perfect show of this redundant driving structure compared to the primary mechanism without redundant driving.

对全新结构的万能直角串并联机构进行冗余驱动设计，通过建立动力学万程和欧拉方程，对机构的动平台各输入铰点处的受力状况进行了全面的分析，已知机构在给定空间位置和姿态下的输出端的受力、主轴的运动参数、连杆的运动参数、水平和垂直运动滑块的运动参数时，可以反向求解机构约动力学反解，通过计算机语言编程计算和绘图得至（直观有效的结果数据，由此得知冗余驱动在改善原机构的动力学特性方面的良好表现。

Methods: 12 fresh frozen adult leg-foot specimens were mounted in a coordinated system, a Steinmann pin was perforated across the calcaneus, cuboidcum, talus, and naviculare as markers. The displacements of the marked points in the coordinated system were recorded. Through matrix translation and Euler equation, the rotational angle of the calcaneus, cuboideum, talus, naviculare were calculated, which represented the motion of the calcaneocuboid, talonavicular and ankle joint in different condition respectively, while statistical analysis were also taken between different conditions.

取新鲜足标本12例，通过加载使足产生某种形式的运动，用三维数字化坐标仪测量距下关节组成骨在某种运动状态下的相对三维坐标位移，通过矩阵转换和求解非线性函数方程计算其三维旋转角度，确定距下关节的运动范围、规律和在足整体运动中的作用。

Herschell-Buckley model have another name called H-B model, equation form as follows:〓 Rheology equation of broad sense:〓 The equation is to sheat rate:〓 In the flow of the annular interspace of the pipeline:〓 thereinto n'=〓 All of the experiment of this thesis utilize the rheology test-bed, it can test the pressure losses relevant datum, and imitate the hole and carry on the test related to rock bits movement.

Wise通过对消防泡沫流经普通铁管的流动阻力的研究发现，泡沫并没有宾汉模型的屈服值，认为泡沫纯粹属于假塑性流体，其流变模式为： Logμ=logτ〓+alog〓+b Mitchell使用毛细管研究泡沫流动，Mitchell用下式计算τ〓和μ〓：〓而Buckingham-Reiners对泡沫修正了用于管内流动的宾汉塑性模型，形式如下：〓 Herschell-Buckley模型—又称H—B模型，方程形式为：〓广义流变方程：〓剪切速率方程为：〓在环空中的流动时〓其中〓完成本论文的所有工作都是在试验台上进行，在该试验台上可进行与压力损失相关的数据测试，可模拟钻孔进行与岩屑运动有关的测试研究。

At many case of bank foundation, such as the case of upper strongness and lower weakness, strong permeable foundation of dyke, strong permeable foundation of dyke containing low penetrability soft intercalation and the dyke foundation by alternation of low and strong penetrability layer, the appropriate condition of various upright seepage prevention measure (whole cut-off wall, half cut-off wall and hanging cut-off wall) and the optimization of seepage prevention measure are analyzed.

从渗流基本理论出发，以压力水头为基本未知量推导多孔介质三维饱和—非饱和、稳定—非稳定渗流问题的微分方程以及方程的有限元格式；在饱和非饱和渗流场的有限元分析中，不仅考虑了饱和区的水体渗流情况，而且也考虑了非饱和区的水分运动情况，将饱和渗流场与非饱和渗流场统一起来进行研究，整个渗流场采用一个支配方程。

The relation between the movement parameters in the flow field of jig could be obtained by the Navier-stockes equation of fluid dynamics. The fluid in different jig structure dimension and shape could be calculated and diagrammed by use of calculate fluid mechanics and potential motion theory. The flow field and streamline of jig at different case are expressed vividly, which could provide rational basis for selecting and designing jig structure.

由流体运动的Naver-Stockes方程得到跳汰室内的流场运动参数间的关系，用势流理论对运动流场进行研究，通过计算流体力学方法对流体运动参数在结构不同的跳汰机的跳汰室内的流场进行了绘图，形象地把不同结构的跳汰室的流场、流线体现出来，可为合理选择跳汰机结构提供依据。

This technique,called the rotation operator approach,disentangles the propagator into a rotation operator and,consequently,shifts the cumbersome time-ordering problem into solving the characteristic equations equivalent to the Euler geometricequations long known to describe the motion of a rigid body.

它把相应的传播子分解为量子力学中的空间转动变换算符，把复杂的时序问题转变为求解对应的特征方程，而这些特征方程恰好与描述刚体运动的Euler几何方程完全等价。

An improved UKF method is proposed and applied to the nonlinear initial alignment of SINS on the stationary base. Simulation results illustrate that the given method has a better performance in the estimation of the azimuth error than the EKF, traditional UKF and scaled SSUKF does. Based on the dynamic error equations of SINS, the mathematics model of the IMU/GPS integrated navigation system is derived for Kalman filtering.

此外，论文还分析和研究了捷联惯性导航系统的力学方程编排和惯性仪表的误差，建立了IMU/GPS组合导航系统的状态方程和量测方程，设计和开发了用于机载SAR运动补偿的组合导航实验系统，并对设计的组合系统进行了大量的静态实验和车载实验。

Synthesizing the degrees of freedom of both rotor and helicopter body, and involving time derivatives of flap motion coefficient and induced velocity model derived from vortex theory, the governing equations of helicopter maneuvering flight are derived properly, with combination of kinematic equations and dynamic equations.

集旋翼和机体之自由度并计及挥舞运动系数对时间的导数和涡流理论的诱速模型，把运动学方程和动力学方程组合起来，从而导出了机动飞行的控制方程。

In this way it is easy to establish the parallel frame of curves in any dimension space.One of the application of the parallel frame is that it can prove the equivalence between the vortex filament equation and the non-linear schrodinger equation.

建立曲线的平行标架的一个应用是可以证明Vortex filament方程和非线性Schrodinger方程表示的是同一个方程。1906年，Leivi-Civita的学生da Rios写了一篇硕士论文，关于漩涡在粘稠液体里以曲率大小的速度沿着副法线的方向运动的模型。

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 。