查询词典 developable surface

Taking the unknown coordinate in curved surface and curve as design variables, the equation of curved surface as constrained condition, and the distance between unknown coordinate as objective function, optimization is proposed to minimize the distance between curved surface and curve.

建立以曲面、曲线上未知，点坐标设计变量，以曲面和曲线方程为约束条件，以曲线和曲面距离为目标函数的约束优化方法来精确地确定曲面和曲线之间最短距离，同时确定获得最短距离对应的坐标点。

In this paper,from the global viewpoint we first define the nonlinear control system on a two dimensional surface in the three dimensional Euclidean space, give the represwentation of the state equation under a loca coordinate sysgtem of the surface, and study the connectin between the equilibrium state of the nonlinear system and the egodesics on the surface.

我们首先从整体化的观点定义了一种建立在三维欧氏空间的二维曲面上的非线性控制系统，并给出了在曲面的局部坐标系下非线性系统状态方程的表达式，研究了非线性系统的平衡态与曲面的测地线之间的关系。

First, from room temperature to 500oC, the shell structure is amorphous with crinkly and airtight character. The shell structure begins to change into γ-Al2O3 and α-Al2O3 at 900oC. The surface of shells shows nano-sized pores at 900oC from SEM and BET analyses. When heated to 1000oC and 1100oC, the shell forms stable α-Al2O3 structure with smooth surface. Cracks often occur at the triple grain junctions. The specific surface area and the total pore volume of the hollow spheres increase with the calcination temperature.

首先，将锻烧温度由室温提升至500℃时，球壳属非晶相皱褶状致密结构；在900℃时开始有γ-Al2O3相及些许的α-Al2O3相出现，由SEM及BET结果得知，900℃之球壳表面有许多奈米级孔洞出现；当加热至1000℃和1100℃时，球壳形成稳定相之Al2O3结构，壳层表面趋於平滑，且球壳在晶界处有微裂缝存在；由BET 结果得知，比表面积及总孔洞体积会随锻烧温度之增加，有增加之趋势。

The minimal surface have been extensively employed in many areas such as architecture, material science, aviation, ship manufacture, biology and crystallogeny and so on. In this paper we have some element works on minimal surface from the point view of CAGD It is well-known that there does not exist any other quadratic minimal surface except for the plane.

以肥皂膜问题为物理背景的极小曲面问题或者Plateau问题—寻找以给定空间曲线为边界的面积极小的曲面，从18世纪提出到现在一直是微分几何和偏微分方程理论的重要课题，微分几何领域已经有了极其丰富的极小曲面理论。

ZHOUSHAN is sea area which fertility is tiptop in our country. Sea surface wind is important factor of influencing contrail of excursion oil and culturist So investigating sea surface wind of ZHOUSHAN and setting up numerical forecast model which fits this sea area can offer tool for study sea wind in this area and let us has a mensurable acquaintance ship of effect degree of physics factors which effect sea surface wind in ZHOUSHAN sea area and acquaint oneself with physic process.

而海面风是影响溢油油团漂移轨迹和养殖业的重要因素，因此，对舟山海域的海面风进行研究，建立适合此区域的数值预报模式，可为研究该区域海面风作用过程提供数值预报工具，使我们对近海区域海面风场作用中物理因子的影响程度有更定量的认识，并对物理过程和影响机制有更深刻地了解。

The shape-form analysis and load analysis were done by nonlinear FEM. On the basis of surface FEM grid nodes, geometry property research of structure curved surface was progressed, including normal vector, GAUSS curvature, mean curvature and principal direction vector. In this process, the approximate expression of surface didn't need to he known.

采用非线性有限元法进行了膜结构的形态分析和荷载分析，得到了曲面有限元网格；通过离散微分几何方法，研究了薄膜结构曲面的几何性质，包括曲面的法线向量、高斯曲率、平均曲率和主方向矢量，避免了复杂的曲面拟合过程。

Our company relates to optics wafer treating right away starting from the 80's, In the field of wafer treating have accumulated large amount of the special field experience developing、giving birth to a child and managing. Grasp the various optics wafer Flat surface、Spherical surface、Cylindrical surface complete set processing technology.

本公司自八十年代初就开始涉及光学晶片加工，在晶片加工方面积累了大量开发、生产及管理的专业经验，掌握各种光学晶片平面、球面、柱面的全套加工技术。

The prior cycles with higher axial stress and larger strain range greatly restrains ratchetting strain of subsequent cycling with lower ones. Creep behavior plays an important role in the ratchetting strain and its influence on ratchetting behavior can not be neglected. Fracture morphology characteristics of two kinds of materials were investigated by scanning electron microscope. It shows that failure of material A is induced by cavitation and that of material B is induced by decohesion. For material A, with the decreasing strain amplitude the fracture surface shows more larger diameter globular particles under uniaxial loading and can be seen more obvious and deep crack under multiaxial loading. However for material B, with the decreasing strain amplitude fracture surface shows larger and larger scalelike shape and becomes more smooth under uniaxial loading, but fracture surface under multiaxial loading looks like more smooth than that of uniaxial loading, and shows gradually wave-like morphology.

通过扫描电子显微镜研究表明：材料A为空穴引起的失效，材料B为剥离导致疲劳破坏；随着载荷幅值的减小，材料A在单轴载荷下，断口表面浮出更多更大直径的球状颗粒，而多轴载荷下，可以看到很深的裂纹；随着载荷幅值的减小，材料B在单轴载荷下，断口表面鱼鳞片越来越大，表面越来越平整，而多轴载荷与单轴载荷相比，断口表面看上去更加平整，并且随着载荷幅值的减小，断口逐渐呈现波浪形貌；通过微观的傅立叶变换红外光谱分析，结果表明随着应变幅值的增加，无论载荷是单轴还是多轴状态下，橡胶材料吸光度比值随着幅值的增加而增加，这说明体系中的结晶含量也随之增加。

So the key of mine water with SS depuration technique is hydrodynamic condition of coagulation and the surface load of sedimentation tank. It is suggested that the GT value of process showed be about 10000and the surface load of sedimentation tank be 0.6-0.8 time of the surface water's.

为此，混凝反应的水力条件和沉淀池的表面负荷是含悬浮物矿井水净化技术的关键，建议反应GT值在10000左右，沉淀池的表面负荷取地表水的0.6~0.8倍。

Abundance of aluminium atom on the surface of diaspore is 1.7 times larger than that on the surface of kaolinite.Absorbing or ionizing H~+ result in charging on the surface of diaspore; Zata-potential of diaspore is variable with pH in the solution.

高岭石的荷电机理有两种：端面为氢离子的吸附和电离，电位随溶液pH的增大而降低；层面为金属离子的晶格取代，荷负电，与溶液的pH无关。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。