相对曲率

Degree B-Spline curve is chosen to fit the longitudinal settlement curves, which solves the problem of curvature continuum for joint notes due to its continuous second derivative vector and overcomes the efficiency and accuracy of computing curvature with 3 points by hand.

选取三次B样条方法对隧道纵向累计沉降曲线进行拟合，利用三次B样条曲线二阶导矢连续的特性，解决了拟合曲线在曲线连接点处曲率的连续性问题，克服了以往人工计算隧道曲率半径在效率和准确性方面的缺陷；并在此基础上，推导了隧道纵向变形曲率与纵向螺栓拉应力、相对弯曲与纵向螺栓剪应力之间的关系； 3。

And then, we gain some definitions that in relation to regular surfaces which include discrete Gauss curvature and discrete mean curvature.

由此获得了一系列的相对于光滑曲面的离散定义，如离散平均曲率，离散Gauss曲率等。

After analyzing the curvature of the forming surface and the relativ emotion between the forming surface and the curved tooth surface during envelope tooth cutting,the authors work out the equations for calculating the induced normal curvature and geodesic deflection,the principal curvature and direction of the tooth surface of this kind of circular-arc gear .

通过对产形面曲率和包络切齿时产形面与齿曲面相对运动关系的分析，推导出双向圆弧齿轮齿面的诱导法曲率、诱导短程挠率和齿面的主曲率、主方向等计算公式。

It was found that compared to the curvature radius, the equivalent radius of indenter played a much more important role on the nanofretting damage of material.

结果表明，相对于尖端名义曲率半径，压头在一定压入深度下的等效曲率半径是决定材料纳动损伤的更有效参数。

The whole process of moment-curvature relationship for RC beam was analyzed with the relative depth of compressive zone of the beam about 0.15 using the strip integral method and computer programme. The relationships between moment and strain of concrete, strain of steel, depth of compressive zone were got.

采用条带积分法，应用计算机编程，对相对受压区高度为0.15左右的钢筋混凝土梁的弯矩－曲率关系进行全过程分析，得出弯矩－曲率关系曲线，并给出弯矩与混凝土应变、钢筋应变及梁的相对受压区高度的对应关系。

Dolomite reservoir fracture system, which was structural fracture,was studied by these two methods in Anpeng area of Biyang Depression.The results show that the principal curvature method has obvious deviation when used for a gentle structure latitude district.

研究结果表明，在凹陷内部构造变形幅度相对平缓的地区，采用主曲率法预测构造裂缝时存在较大偏差，而高斯曲率法的应用结果与地质解释、钻井和测井资料吻合较好。

Negative radial electric field always associate with edge ion loss or separation of ions and electrons in same layer.

通过大量分析各种装置H-模的产生条件及其差异性，诸如装置磁场位形、等离子体与壁或限制器的间隙、第一壁条件、离子梯度磁场和曲率漂移方向等因素，研究它们与负径向电场或者说与边界离子损失的关系，认为在环形磁约束装置中电子基本上沿磁力线或磁面运动，而离子由于受梯度磁场和曲率漂移的影响大，有横越磁面的运动分量，会产生相对于磁面的扩张轨迹和压缩轨迹。

The main contents and achievements are summarized as following: 1. The principle of tension leveling of metal strip is described systematically using relative tension and relative curvature on the basis of plane hypothesis including the stress distribution on the section, the condition to undergo plastic longitudinal elongation, the calculation of longitudinal elongation, the change of tension along the strip etc.. 2. The tension leveling process of metal strip on a multi-roll arrangement is investigated detailed by nonlinear finite element method and many rules to guide the strain, deformation, stress and bending moment are discovered and illustrated.

本文的主要内容和成果如下： 1、以平面假设为前提，采用解析分析方法，建立了以相对张力和相对弯曲曲率为基本参数的平面应变金属带材拉伸弯曲变形基本原理较为系统的描述，描述涉及到应力分布与两个基本参数的关系、带材塑性延伸的边界条件、带材延伸率的计算、带材张力变化的计算等。

The stable structure of mass base__ the particle of photon most afterwards reach the verge of relative macrocosm, combine the relative space-energy of self, again come to do the quantum of stable spatial measurement radiate reach the relative vacuum of spatial curvature is 1/3 index of change level, return in the dark energy of cosmic energy, by the stable speed of (9/4)×107 m /s come to do random shift, later on again at random relatively gather.

基础质量的稳定结构--光微粒子最终到达相对的宏观世界的边沿，携带自己的相对空间能，再次成为稳定宇称量子辐射到更平直的空间的曲率指数为1/3的相对真空中去，回到宇宙能量的暗能量行列，以(9/4)×107m/s 的稳定速度成随机地移动，以后再随机地相对聚结。

Experimental Research on FBG Sensor for Large Curvature Detection;2. For large curvature arch, the neutral axis does not pass through the centroidal line of the cross-section, so the moment of inertia is not consistent with the second moment of area.

大曲率拱中，截面形心轴与中性轴不重合，其截面抗弯惯性矩与不考虑曲率影响的截面面积二阶矩有一定的差别；当截面尺寸相对拱弧长来说较大时，此时拱为深拱，剪切变形的影响不能忽略。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。