数值分析

In this article, the process of linear departing installation by fire work is mumerically simulated by ANSYS/LS-DYNA, and discusses how to increase the accurateness of numerical simulation.

本文采用ANSYS/LS-DYNA软件对线性火工分离装置的爆炸过程进行数值模拟，并通过对数值模拟理论的分析和比较，探讨了进一步提高数值模拟准确性的方法。

Based on the results of the large-size shaking table test of a subway station structure built in liquable site,considering the influence of the soil-structure nonlinear dynamic interaction by 2D finite element methods,the seismic responses of the soil- subway station structure system under different test conditions are analyzed by using ABAQUS software.

根据可液化土层上土-地铁车站结构动力相互作用大型振动台模型试验结果，以软件ABAQUS为平台，将地基土-地铁车站结构体系视为平面应变问题，采用记忆型嵌套面黏塑性动力本构模型模拟土体的动力特性，采用混凝土动塑性损伤模型模拟车站结构混凝土的动力特性，建立了土-地铁车站结构非线性动力相互作用的有限元分析模型，对各种试验工况下地基土-地铁车站结构体系的地震反应进行了数值模拟，并与试验结果进行了对比，结果表明：数值模拟与振动台模型试验结果基本一致，体现出了相似的规律性，相互印证了计算分析的力学建模和振动台试验结果的正确性。

The formula is described as followwith A denoting tidal amplitude and Ov for the groundwater table overheight:Ov = A × [1 -(0.11 ×α+ 1.33)× exp-0.89 ×ε~(0.46]. Laboratory experimentswere also carried out to validate the numerical modeling results.

基于无量纲化后的参量α和ε，以及特殊定义的超高，通过大量的数值实验及回归分析，推导出计算超高的经验公式(A表示潮汐振幅，Ov表示超高)：Ov=A×[1-(0.11×α+1.33)×exp-0.89×ε~(0.46]，并通过物理实验对比分析数值模拟结果。

The mathematics description of the non-spherical lens is the most important problem for the beam shaping system design. A numerical simulating method and its precision analysis are given, and the results indicate that this method is simple, and can be used for the design of LD beam collimating system with non-spherical lens.

非球面柱透镜曲面的数学描述是人们目前关注较多的问题之一，作者使用数值拟合的方法，对其进行了数值拟合并给出了精度分析，结果表明：该方法简单、直观，能够完全满足特定精度的要求，从而可以方便地用于非球面柱透镜的分析和设计。

And used the MATLAB realizationnumerical integration analysis, the experimental result had alsoproven had the operation simply using the MATLAB realizationelectromagnetic field numerical integration analysis bright, theoperating speed has been quick, miscounts slightly and so on themerit.

并利用MATLAB实现数值积分分析，实验结果也证明了运用MATLAB实现电磁场数值积分分析具有操作简单明了、运算速度快、计算误差小等优点。

According to practical work condition, section of a three segment hoist boom is self-determined with SECWRITE commands, then a finite element model is directly established in ANSYS environment with ANSYS finite element analysis software. Using Beam44 beam unit and node degree of freedom coupling technique to simulate connecting between each boom section and conduct finite element analysis, calculated result of stress deformation for the boom is obtained. The result from digital simulation is in relative coincidence with theoretical analytic result and the nonlinear decline occurrence in boom bending moment curve is explained.

以ANSYS有限元分析软件为工具，按吊臂实际工况，运用SECWRITE命令自定义三节吊臂截面直接在ANSYS环境下创建有限元模型，使用Beam44梁单元和节点自由度耦合技术模拟各节臂的连接，进行有限元分析，得到吊臂应力变形数值计算结果，数值模拟所得结果与理论解析解相吻合，解释吊臂弯矩图出现非线性下降的原因。

Judge clouds' effect on solar radiation by satellite cloud map gray scale values, therefore establish and confirm the relationship between them. Roughly acquire optical depth of clear sky and clouds from radiation station data and routine meteorological data of land surface, and the study the relationship between clouds' physical character and radiation....

通过卫星云图的计数值来判断云对辐射的作用，以此建立起它们之间的关系；利用地面观测资料和常规资料来粗略求取晴空大气和云光学厚度，进而研究云的物理属性与辐射关系；简单的获取地表与近地面大气之间的辐射关系，以此估算地表的反照率，和地表的净辐射；分析了卫星可见光、红外及水汽云图计数值和地面辐射之间关系，利用辐射传输公式来推倒和分析云对辐射的关系，试图建立起卫星测值与地表总辐射和净辐射之间的关系，并将晴空和有云的个例分开，分别建立并选出最佳模式，以此来估算地表的净辐射和总辐射。

Meanwhile, the paper also quantitatively studied the response mode of the soil moisture, crop, trees and grass under climate change conditions with the statistical and numerical models.

本研究选择黄淮海流域、新疆、小兴安岭和内蒙古锡林浩特分别作为农田、森林、草原典型生态研究区，利用较长时间序列的气候资料、遥感数据及其他辅助资料，运用趋势、相关、EOF、突变检验、小波分析及数值模拟等多种方法，在分析研究不同生态研究区气候变化区域特征的基础上，较为系统全面地开展了我国北方典型生态区气候变化对农田生态、森林生态和草原生态典型和敏感生态环境指标的影响研究，包括气候变化对农田土壤水分、农作物发育期和产量的影响；气候变化木本植物和鸟类物候的影响；气候变化对植被NDVI、林木生产力和森林生态环境质量的影响；气候变化对草原土壤水分和牧草产量的影响，同时，通过统计模型和数值模型定量研究了气候变化背景下的土壤水分、作物、林木和牧草响应模式。

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。

The analysis shows that with given grid size higher accurate difference scheme can give higher resolutions with wider range of scales, or with given accuracy large grid size can be used for the higher accurate difference scheme. The second part is the numerical simulation of two-dimensional axisymmetric jet. The simulation results show the structure in the near field and the initial transition. In the near field, Kelvin-Helmholtz instability leads to the formation of vortex ring, and nonlinear growth leads to the merging of vortex ring. This is the main instability form. Under the assumption of axisymmetry and two-dimensional computing conditions, the results are applicable only in the near field.

第二部分采用高精度的差分格式对二维轴对称射流进行了数值模拟，模拟结果显示了射流流场结构和涡结构的发展过程，在射流流场近区，K-H失稳导致涡环的产生以及非线性效应的增长导致涡环的对并是射流失稳的主要形式；分析指出在轴对称假设下的射流数值模拟只适用于射流近区的分析。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。