维数

By using finite element method,the pile group effect coefficient of soil resistance under pile cap is analyzed for the composite pile foundation.

利用三维弹塑性有限元方法，对复合桩基承台底土阻力群桩效应系数进行了分析；根据分析，编制了相应的有限元程序；应用该程序研究了承台宽与桩长之比、桩距、桩数、土类等对承台底土阻力群桩效应系数的影响。

In this paper,four aspects of the above problems were studied:Firstly, the problem of solving continuous linear operator equation inseparable Hilbert space is studied .

通过把第一类连续不适定算子方程转换为等价的无穷维方程组，然后利用投影法，给出了解存在唯一的充要条件；给出了连续线性不适定算子方程解析解，解决了不适定情况下解的表示问题，由此给出了算子方程的数值求解公式；进一步证明了，在解不唯一情况下，此表达式给出的解为算子方程的最小范数解，同时表示出了连续线性不适定算子方程的解集。

The Pade approximation is combined with 3-D frequency-domain finite difference (3D-FDFD) for the first time. The impact of expansion point and the order of rational function on the accuracy and the convergence radius is discussed in this dissertation.

主要包括以下内容：首次将Pade逼近运用到三维频域有限差分法中，详细讨论了Pade逼近中展开点选取、收敛半径与有理阶数的关系问题。

Two approaches,one called CG method in this paper which based spatial cubic partitioning where the axis-aligned bounding box of the data points is partitioned by a cubical grid,and another based on tree structure such as kd tree are known for the problem.

目前主要有2种方法，一种是基于立方体分割形成的三维立方体体素索引数组的体素栅格（CG方法，另一种方法是基于树索引结构的方法如kd-Tree等。

Then, using the derivatives of the two dimensional normal cumulative distribution function with respect to its variables of parameters, the sensitivity measure of the failure probability of the parallel system or the unconditional up-crossing rate of the combined process can be determined.

最后利用经典的时不变可靠性分析方法确定并联系统的失效概率，并利用二维正态分布函数的导数特性确定失效概率的敏度。

The model was merged.Result:An ideal three-dimensional finite element model of the PFM crown for the upper cuspid was constructed.Conclusion:The constructed 3-DFE model was quick and accurate and could be applied as a new method in the dental research. cuspid ; finite element ; porcelain fused to metal

材料和方法1实验器材与软件环境：OPTIPLEX GX260商用台式机(处理器Intel Pentium IV2.0G，内存容量1GB，硬盘80G，操作系统Windows2000)；三维照相测量仪(3DSS)(上海数造机电科技有限公司)；Geomagic studio8(raindrop公司，美国)；Imageware12Unigraphics NX4.0；Algo

The Green's tensor in frequency domain for cylindrical layered media was deduced from the 3-D Green dyadic for homogeneous media according to the propagation laws of waves in layered media,then the Green's tensor in spatial domain can be achieved with Fourier transformation ,which is a singular integral of wave-number.

根据分层介质中波的传播规律，由均匀介质中的三维张量格林函数得到频率域中柱状分层介质的张量格林函数表达式，经过傅立叶变换，可以得到空间域的格林函数，它是一个关于波数的奇异积分。

The Green's tensor in frequency domain for cylindrical layered media was deduced from the3-D Green dyadic for homogeneous media according to the propagation laws of waves in layered media,then the Green's tensor in spatial domain can be achieved with Fourier transformation,which is a singular integral of wave-number.

摘要根据分层介质中波的传播规律，由均匀介质中的三维张量格林函数得到频率域中柱状分层介质的张量格林函数表达式，经过傅立叶变换，可以得到空间域的格林函数，它是一个关于波数的奇异积分。

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During the calculation the results got by quintic spline kernel was the best so it was chosen as the proper kernel for the SPH simulation. By comparison of the simulation results got by SPH and finite volume method, it was proved that the buffer cells method proposed in the SPH simulation to implement the Dirichlet boundary conditions was accurate, and this is of great importance for the simulation of flows pass a pipe. At last, the SPH method was improved to simulate the liquid-solid two phase flows and the results show that this method was appropriate for the simulation of flows containing viscous fluid and macroscopic solid components. Now the two methods are both able to predict the continuum flows and rarefied flows severally, but the hybrid program still has some aspects to be improved.

首先用标准算例验证了SPH方法的理论模型和计算程序的准确性；通过比较确定选用五次样条核作为计算低雷诺数下的粘性连续流动时的核函数；采用SPH方法和有限体积法分别对同一管道流动进行了对比计算，证明了本文提出的边界缓冲区方法在实现SPH方法中的流体边界条件时的有效性，解决了SPH方法模拟管道流动时的一个关键问题；巧妙地使用SPH方法对化工分离流动中常见的固液两相流及固液耦合作用进行了模拟尝试，获得了较好的结果；在跨尺度计算方面，目前两个子程序已经能够分别模拟连续的和稀薄的二维管流问题，二者的耦合计算程序还处于调试和优化阶段，各个参数对于计算精度和计算速度的影响规律仍在探索中。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。