单元

The finite element analysis models of linear elastic fracture with 20-nodes substance element and cracking singular element were established.

提出采用20节点等参单元、裂缝奇异单元，建立了铺装层线弹性断裂力学有限元模型，通过裂缝尖端应力强度因子的计算，研究了钢桥面沥青铺装层破坏情况对裂缝扩展的影响。

Calculation of the energy release rate with finite element method is conducted. The concrete beam model is meshed using a method without need of considering the crack-tip singular element.

采用有限元分析方法对三点弯曲混凝土梁的能量释放率进行了计算，在对混凝土梁进行单元划分时，避免使用奇异性单元来模拟梁的裂尖奇异性。

Combining with the element-free method,a boundary element method without singular integration is presented by using non-singular fundamental solution to establish the boundary integral equation for electromagnetic field.

用非奇异基本解建立电磁场问题的边界积分方程，将其与无单元法相结合，提出了电磁场计算的无奇异积分的边界无单元法，编制了相应的计算程序，计算结果表明，方法合理可行。

The ATF method is also applied to develop singular element in the V-notch analysis and an element with notch named ATF-VN is formulated.

采用解析试函数法构造了含切口单元ATF-VN。用此单元分析切口问题也非常有效。

The dynamic stress intensity factors are obtained based on node displacement extrapolation near the crack tip singular element using the elasto-plastic dynamic FEM.

第五，基于弹塑性动力学理论，采用有限单元法，在裂尖设置奇异单元以反映裂尖的奇异性，通过裂尖附近裂缝面上结点的位移插值得到了动应力强度因子。

There are the following several points different from existing finite element eigenanalysis methods for asymptotic fields near the crack tip:(1)The jump-off that educes the formula is different.(2)The form of the element is a ad hoc element.(3)The singular transformation technique is not used in the assumption of displacement fields surrounding the wedge tip.

该方法与过去原有求解裂纹端部近似场的有限元特征分析方法有几点不同：(1)导出公式的出发点不同；(2)单元形式为高次内插单元；(3)尖劈端部邻域内的位移场假定没有采用奇异变换技术。

With the FEA software ANSYS and shell element which has high-precision, this dissertation optimize the size and thickness of skeleton section and seek steel pipe which still have strength and stiffness surplus under static state working condition: sinkage of 240mm of rear wheel. Its fully loaded in the state of static bending and torsion. After that, amelioration is achieved for even strength design.

本课题运用ANSYS有限元分析软件，并且使用精度较高的SHELL壳单元作为建模单元，在静态条件下，通过对左右后轮下沉240mm的弯扭联合工况的模拟分析，寻找出骨架中存在强度和刚度富裕的构件，使之达到轻量化改进的目的。

Based on the previous research achievements in this field, structure nonlinear theory about inelastic beam-column element, sliding bearing element and contact element, are studied in this dissertation. As a result, finite element models suitable for large scale structure are intruduced and a program for seismic analysis of bridge system is developed on the basis of DRAIN-3DX program.

本文在前人研究的基础上，对桥梁抗震非线性分析理论中的弹塑性梁单元、滑动支座、接触问题等几个方面做了进一步的研究工作，建立了适合于大型结构分析的有限单元模型，并在DRAIN-3DX的基础上，开发了计算机抗震分析辅助程序。

The proposed algorithm connects the learning rate with the error function and the slope of the activation function of each hidden and output unit is automatically adjusted.

该算法将学习率与误差函数相关联，再对每个隐单元和输出单元的激励函数的斜率进行自动调整。

Under the condition of the slide between pile and soil around pile is taked into account,five equations are established, including the equation of compatibility between the settlement of pile cap soil and the settlement of pile cap; the equation of compatibility between the settlement of pile head soil and the settlement of pile head; the physical equation between the settlement of soil around pile shaft and the settlement of pile shaft;the equation of equilibrium between loads on the pile cap, side frictional stress and restraints of pile head; the equation of compatibility between the deformation of the pile body and the subtraction between the settlement of pile cap and the settlement of pile heap.

桩身单元和土单元存在着相互作用，在允许桩土相对滑移的前提下，建立桩顶土体沉降与桩顶沉降的协调方程、桩底土体沉降与桩端沉降的协调方程、桩土相对位移与桩侧摩阻力的物理方程、桩身力的平衡方程、桩身压缩和桩顶沉降与桩端沉降之差的协调方程。

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 。