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By studying the numerical simulation technology of sheet metal formation in recent decades,the article puts forward a method for redeveloping friction model of numerical simulation of sheet metal formation on the basis of ABAQUS.

对近年来兴起的板料成形过程数值模拟新技术研究，提出了一种基于ABAQUS的板料成形数值模拟摩擦模型的二次开发及实现的方法。

Aiming at the structure and refractive-index profile of wide-angle cross waveguide, the optical field distribution has been calculated by the method.

数值计算对交叉波导的设计和优化有着重要的意义，而选择正确的计算方法是交叉波导数值计算的关键。

There are two modeling methods used in this research area, that is analytical method and numerical method. Analytical method can be used to analyze the sound pressure within enclosures, and to analyze the control mechanisms theoretically, however it can be used for regular cuboids only. Numerical modeling method can manage enclosures with arbitrary boundaries, nevertheless, the results obtained using this method are dispersed sound pressure. It is hard to conduct real time control with this method. The two modeling methods have their own inherent defects.

对于封闭空间的结构声辐射，目前有解析建模和数值建模两种建模方法，解析建模方法可以从理论上对系统进行分析，探讨消声机理，但它只适用于长方体等规则封闭空间；数值建模方法不受空间边界形状的限制，得到的是空间声压的离散结果，难以用于实时控制，两种方法都存在着局限性。

Second, while determining the trajectory with specific reference to two-legged robot cycloids. After calculating the degree of each joint, SolidWorks COSMOSMotion software is used to simulate the movements. The robot is constructed with acrylic and aluminum servo-motors, then the data is projected to drive the robot and further prove the theory.

经由软体计算出各关节所因应的角度后，得到的数值先藉由SolidWorks COSMOSMotion模拟软体模拟其步行行为，最后利用玩具机器人的伺服马达当作动力源、压克力和铝为结构材料制作出所需的三足玩具机器人实体模型，再将数值套用回机器人身上加以验证。

From the analysis and comparing with different illustration, it proves that the numerical model used in this paper is correct and the results of numerical study are in agreement with the facticity about the flow field.

通过对数值计算结果的分析和比较，证明数值模拟所用的计算模型是有效的，较好地反映了旋流器内液固两相流场的物理真实性。

The flow-field around a hemisphere and a flat-nosed cylinder in the shock tube is simulated numerically by using non-equilibrium Navier-Stokes equations with an air chemical model of 5 species 17 reactions, and the catalytic rate constant of surface materials such as Pt, SIC:, Ni and a flight vehicle materials is determined by using the heat transfer rate of testing in the shock tube and the distribution of heat transfer rate along with the catalytic rate constants.

用5组分17个化学反应Durm-Kang空气化学模型和轴对称热化学非平衡Navier-Stokes方程，对激波管中球头和平头圆柱模型绕流流场进行了数值模拟，给出了驻点热流随催化速率常数变化的分布，并根据激波管实验测量的热流值确定了表面材料Pt、SiO2、Ni和某种飞船材料的催化速率常数，建立了数值分析高焓流动边界层催化特性的软件。

In situation of internal fault, the fault comprehensive component impedance is the impedances of the transmission lines and equivalent sources of system.

利用故障分量综合阻抗的幅值在外部故障时数值较大，而其他情况下数值较小的特点，可靠的识别空投于内部故障的情况。

The theoretical results of the radiation characteristics such as input impedance,gain and axial ratio of circular polarization are given,which are validated by experimentation.

基于矩量法的分析途径，本文提出了计算矩形腔十字裂缝天线的数值方法，给出天线单元的输入阻抗、增益和轴比等辐射特性的数值结果，并进行了实验验证。

The results showed compared with the native state the shear strength of rockmass under the saturation state decreased by 11.17%, cohesion force decreased by 16.09%, internal frictional angle decreased by 10.02%.(3) 3D-σFEM numerical simulation software is used to simulate the slope stability on the native state and saturation state. Compared with the nature state the displacement of the discontinuity and stress concentration in the saturation state is largened clearly, the results showed slope stability under the rainfall is weakened.

更多含有天然结构面的岩体试件进行了不同含水量下的强度试验，试验结果证明在岩体试件处于饱水状态时的结构面抗剪强度比天然状态下平均下降了11.17%、粘聚力平均下降了16.09%、内摩擦角平均下降了10.02%；(3)采用3D-σ有限元数值软件对K86+180～K86+470段岩质边坡进行了三维有限元数值模拟，并且分天然状态分阶段开挖和饱水状态分阶段开挖两种不同状况进行了稳定性分析，从分析结果可以看出与天然状态相比，饱水状态下软弱层水平方向位移明显增大，坡脚及软弱层特别是软弱层临空面附近的剪应力值显著增大，并且其安全系数与天然状态相比也显著减小，说明在有大的降雨发生当岩体处于饱水状态时边坡整体稳定性被削弱，边坡失稳可能性增大。

Applying the laws, the high-effectively transporting of viscous fluid can easily realizedIt is provided and consulted conveniently in the oik chemistry, circumstance , mill-run and convective thermodynamics to successfully calculate, especially on Bingham fluid, Non-Newton fluid.

对非牛顿流体中幂律流体和宾汉流体的成功数值计算，尤其是对具有流核的宾汉流体的较成功数值计算，为石油、化工、环境工程、选矿和对流传热学等方面的应用提供了方便和参考。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。