四面体方程

The variable geometry truss mechanisms have been studied extensively and systematically by this project. The research plan has been completed all sidedly, and expected results have been obtained. Three new kinds of combination decahedrons and a new class of variable geometry truss mechanism, which is composed of an octahedron and three tetrahedrons connected in parallel form, are proposed. The position analyses for decahedrons, dodecahedrons, triple-octahedrons, combinations decahedron and a new type of structure of variable geometry truss mechanisms are presented by introducing additional extra linear displacement sensors and using resultant elimination and homotopy continuation algorithms. The method of kinematical analysis of variable geometry truss mechanisms is established.

课题组对变几何桁架机构进行了深入的研究，全面地完成了研究计划，取得了预期的成果；提出了三种新的十面体组合机构以及由一个八面体和三个四面体组成的新型变几何桁架机构的结构形式；应用结式消元、附加传感器和同伦方法等提出了十面体、十二面体、三重八面体、组合十面体和新型变几何桁架机构的位置分析方法；建立了变几何桁架机构运动分析的一般方法；建立了简洁的凯恩和拉格伦日动力学的模型；应用有限元和子结构方法，提出了变几何柞架机构弹性动力学模型，导出了逆动力学方程的显式形式；设计和研制了一台可折叠的八面体变几何杵架机构装置等。

Applying the triangular element to the stationary Stokes equation, we obtain error analysis and optimal convergent order of approximation solution.

对于各向异性三角形元和各向异性四面体元，我们分别讨论了它们的各向异性插值，将它们应用于定常Stokes方程，我们研究了有限元空间不满足散度条件的各向异性非协调有限元解法，同样得到了逼近解的误差分析和最优收敛阶。

Firstly, the three-dimension boundary question and its corresponding variation question concerning the point-source electrical field on a 3-D structure are presented. Secondly, the finite element method is used to solve the variational equation. The study area is divided into many tetrahedral elements. Then, we interpolate with a tri-linear function in each element. So, the variational equation is converted into a linear equation system. Finally, taking into account saving of time, we make use of symmetric successive overrelaxation preconditioned conjugate gradient algorithm to solve large linear system, and obtain the potential value of each node, resulting in the calculation of the apparent resistivity values on the ground surface.

首先给出了三维构造中点源电场的边值问题以及相应的变分问题；然后利用有限单元法求解变分问题，采用四面体单元对研究区域进行剖分，在单元中进行三线性函数插值，将变分方程化为线性代数方程组；最后，考虑到节约计算时间，利用对称超松弛预条件共轭梯度迭代算法求解大型线性方程组，得到了各节点的电位值，进而计算出地表的视电阻率。

In terms of Navier-Stokes equations and LES model, the SIMPLEC algorithm with the body-fitted coordinate and tetrahedroid grid system is applied in the solution of the discretization governing equations.

本文基于N-S方程和大涡模拟模型，采用贴体坐标和四面体网格系统和SIMPLE算法，较准确地对混流式水轮机内部三维非稳定湍流流动及其尾水管内的旋涡压力脉动进行了数值模拟。

In terms of Navier-Stokes equations and LES model, the SIMPLEC algorithm with thebody-fitted coordinate and tetrahedroid grid system is applied in the solution of the discretization governing equations.

本文基于N-S方程和大涡模拟模型，采用贴体坐标和四面体网格系统和SIMPLE算法，较准确地对混流式水轮机内部三维非稳定湍流流动及其尾水管内的旋涡压力脉动进行了数值模拟。

This article uses Laplace equation, separating tetrahedron as various units and the using the appropriate form function to discrete the complex structure, surface and its environment.

采用电化学场中的拉普拉斯方程，使用四节点四面体和合适的形状函数对水室表层和复杂结构体系周围场域进行离散。

Without considering the EM effect and using the generalized variational structure principle, It can get the corresponding variational structure equation.

通过用四面体单元和三棱柱单元对大地模型进行剖分、插值、总体集成，最后解方程，实现了在水平地形和起伏地形条件下频率域激电参数的正演模拟。2。

Its rule of change was obtained. On the basis of other studies, the flocculation kinetics and flocs structure was studied. By making some assumptions, collision frequency were presented. Then the the flocculation kinetics model was established through population balance equation. Comparison of experimental data and modeling results indicate that there are the same trend between the two. So the model can predict flocs number and size during flocculation of Yellow River's loess particles without using empirical parameters. The TEM and SEM were used to obsever flocs in the study of floc structure. The flocculation was divided as flocculi, floc and floc aggregate. The flocs structure model was established by assumption that particles position in floc accords with tetrahedron. The fractal dimension of model and experimental flocs was found to be coincident. So the model can reflect the structure of flocs formed in flocculation of Yellow River's loess particles by macromolecule flocculant at a certain extent.

最后，本文还对絮凝动力学和絮体结构进行了研究，在前人研究的基础上，针对高分子絮凝黄河泥沙，对絮凝过程作了一些符合试验条件的假设，建立了颗粒碰撞频率表达式，应用了颗粒数量平衡方程，从而建立了絮凝过程的动力学生长模型，模型计算结果与试验数据对比表明，二者趋势一致，在没有使用经验参数的情况下基本上能够描述黄河泥沙絮凝过程中絮体数量和尺寸分布的变化过程；对絮体结构的研究中，应用扫描电子显微镜和透射电子显微镜对絮体进行了观察，将絮体分为絮粒、絮团和絮网三个不同的生长阶段，通过假设颗粒结合位置符合正四面体，建立了絮体结构模型，计算得到的模型絮体分形维数基本与试验中的实际絮体相符，在一定程度上能眵反映高分子絮凝黄河泥沙生成的絮体结构。

Its rule of change was obtained.On the basis of other studies,the flocculation kinetics and floes structure was studied. By making some assumptions, collision frequency were presented.Then the the flocculation kinetics model was established through population balance equation. Comparison of experimental data and modeling results indicate that there are the same trend between the two. So the model can predict floes number and size during flocculation of Yellow River's loess particles without using empirical parameters.The TEM and SEM were used to obsever floes in the study of floe structure.The flocculation was divided as flocculi,floc and floe aggregate.The floes structure model was established by assumption that particles position in floe accords with tetrahedron.The fractal dimension of model and experimental floes was found to be coincidentSo the model can reflect the structure of flocs formed in flocculation of Yellow River's loess particles by macromolecule flocculant at a certain extent

最后，本文还对絮凝动力学和絮体结构进行了研究，在前人研究的基础上，针对高分子絮凝黄河泥沙，对絮凝过程作了一些符合试验条件的假设，建立了颗粒碰撞频率表达式，应用了颗粒数量平衡方程，从而建立了絮凝过程的动力学生长模型，模型计算结果与试验数据对比表明，二者趋势一致，在没有使用经验参数的情况下基本上能够描述黄河泥沙絮凝过程中絮体数量和尺寸分布的变化过程；对絮体结构的研究中，应用扫描电子显微镜和透射电子显微镜对絮体进行了观察，将絮体分为絮粒、絮团和絮网三个不同的生长阶段，通过假设颗粒结合位置符西安建筑科技大学博士学位论文合正四面体，建立了絮体结构模型，计算得到的模型絮体分形维数基本与试验中的实际絮体相符，在一定程度上能够反映高分子絮凝黄河泥沙生成的絮体结构。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了