几何形状

Based on the inverse mapping with linear deformation, the geometric mapping was used to carry out the second element transformation in order to avoid the abnormality of the stiffness matrix and to improve the stability and the convergence of the numerical calculations.

在现有线性变形逆向映射法的基础上，采用几何映射法计算变换单元，避免单元刚度矩阵出现畸形，提高钣金展开有限元逆算法的稳定性和收敛速度，对几何映射法与投影法所计算的变换单元进行了对比，数值计算结果表明用几何映射法计算的初始估算展开料形状更接近于最终的钣金件展开形状。

ABSTRACT This paper summarizes our researches on two key techniques in curve and surface modeling-the geometric approximation techniques and the geometric interpolation techniques. The former includes three types of geometric approximation techniques: Hybrid polynomial approximation to rational curves and surfaces, offset curves and surfaces approximation, interval Bézier curves and surfaces approximation. The latter includes a series of algorithms for shape blending modeling: the MSI algorithm for shape blending between space polylines or trees, the MSI algorithm for shape blending between triangular meshes, and skeleton-based shape blending algorithms using triangular decomposition and star-shape decomposition.

本文是作者对曲线曲面造型中两类核心技术几何逼近技术和几何插值技术的研究成果的总结，其中前者包括有理曲线曲面的Hybrid多项式逼近、等距曲线曲面逼近和区间曲线曲面逼近等三类几何逼近方法；后者包括用于形状混合造型的几何插值方法的一系列算法：空间多边形形状混合的MSI插值算法、三角网格形状混合的MSI插值算法、树的形状混合的MSI插值算法以及基于骨架树形状混合的三角剖分算法和星形剖分算法。

The scale-type geometric wear-resistant structure surface is characterized in being made up of a base and the bionic geometric units on the surface. The bionic geometric structure unit is a scale-type structure distributed regularly on the surface of the base, and the distribution density is that: the ratio between the geometric projection area of the scale-type structure on the base surface and the surface area of the base formed by all the edge ends is 50-100%; the scale-type geometric structure unit has a symmetric hexagon shape on the surface; the sides L2/L1=1.0-2.0, L1: 1mm-50mm, and the internal angle Alpha is 120 degree -130 degree, the internal angle Beta is 100 degree -110 degree; the A-A section is subtriangular, and the B-B section is a trapezoid, the height H of the scale-type is 1-5mm.

本发明由基体和其表面上的仿生几何结构单元组成，仿生几何结构单元为在基体表面规律分布的鳞片型结构，鳞片型的分布密度为：其在基体表面上的几何投影面积之和与所有棱端围成的基体表面积之比为50-100％，鳞片型几何结构单元的表面形状为对称六边形结构：边长L2/L1＝1.0-2.0，L1：1mm-50mm，内角α为120°-130°，内角β为100°-110°，鳞片型的A-A截面为近似三角形，B-B截面为梯形，鳞片型的高度H为1-5mm。

A new method was developed for design of the composite material flywheel with high speed. In this paper ,the method of optimization of shape design for the composite material flywheel with high speed was put forward on the base of the analytical method and research optimization of shape design, and established the models of density optimization of energy and light mass.These models were used to design two typical composite flywheels with high speed in hybrid electrical vehicle flywheel battery and the stress level and convergence on the flywheel were got .Then a new way was developed for optimization of shape design of the composite material flywheel with high speed.

在此基础上对高速复合材料飞轮进行了形状优化设计，将复合材料有限元分析方法和优化设计技术相结合，提出了复合材料的形状优化的方法，分别建立了以高速复合材料飞轮的以储能密度最大为目标函数的形状优化模型和以质量最轻为设计目标的形状优化模型，并以混合动力客车飞轮电池中高速复合材料飞轮作为具体应用，使其在满足强度条件和几何约束条件下，分别寻求其最大储能密度和最轻质量，从而为高速复合材料飞轮的形状优化设计提供参考依据。

Using the principle of Projectiv e geometry and Analytic geometry,we have intact analysed about the cut and hand in line of taper and Geometry proved the form produced by the special-position -leve and the general-position-level.

利用射影几何和解析几何的原理对圆锥截交线进行了完整的分析，对特殊位置截平面与一般位置截平面产生的截交线的形状进行了几何证明，为截交线的形状判别与绘制提供了理论依据。

This Al -free 980nm pump laser have many merits, such as improved catastrophic optical damage level; no degradation due to oxidation of aluminium during fabrication process and laser operation, which is desirable characteristic for multi-step growth; lower electrical and thermal resistance with GalnP cladding; better carrier confinement with GalnAsP confinement layers; Selective chemical etching between GaAs and GalnP maks precisely control for fabrication of stripe geometry lasers.· Calculated the physical parameters of ternary and quaternary III - V compoundsby interpolation formulas based on curve fits or on a linear regression, such aslattice parameter, band gap, and refractive index.· Using luttinger-kohn Hamiltonian-based propagation-matrix method presentedby S.L.

这种无Al980nm半导体激光器可以提高激光器出现腔面损伤所需的能量，消除在生长过程和应用过程中由于Al的氧化而使激光器的使用寿命缩短的问题，便于激光器的多次生长；以GaInP为盖层可以降低电阻和热阻；可以精确的控制GaAs和GaInP之间的化学刻蚀，便于激光器几何形状的控制。

Enclosed Alphanumerics use Geometric Shape, White Circle (9675) and superscripts.

封闭使用字母，数字几何形状，白圈（ 9702 ）和上标。

Graceful geometry of the Place des Vosges is the legacy of Henry IV, who envisioned a public space lined by shops and homes.

优美的几何形状孚日广场是遗留下来的亨利四世，谁预想银行营业厅两旁的商店和房屋。

Graceful geometry of the Place des Vosges is the legacy of Henry IV, who envisioned a public space lined by shops and homes.

优美的几何形状孚日广场是亨利四世遗留下来的，谁预想银行营业厅两旁的商店和房屋。

Based on the return map and the principle of closed vectors, a new method is proposed to extract unstable periodic orbits embedded in chaotic attractors. As examples, the UPOs embedded in chaotic attractors of Logistic, Hénon and Lorenz are extracted respectively by this method. And our results of Skewed Hénon map also be compared with Nusse's. These results suggest that this method is valid for unstable periodic orbits from period one to period infinite of arbitrary dimension chaotic system. The dynamic considerations of spiking and UPO coding for individual neuron and neural system under external periodic and chaotic exciting stimulus also be studied in this dissertation. A lot of spiking phenomena, such as synchronization, period, and chaos appear alternatively with the changing of the stimulus frequency. For the small stimulus frequency the neuron could completely convey the periodic signal in synchronous anti-phase into interspike intervals sequences. For the slow time–scale chaotic input, the output two ISI sequences are reciprocally related to input signals, and their oscillation wave shape in time course can be derived from that of the input signals variation, furthermore, the similar input sequence and order of UPOs, distribution of LES and value of KYD remain in attractors reconstructed from ISI sequences.

发现周期信号在单个神经元传递过程中，随着激励频率的改变，神经元输出的峰峰间期interspike interval时间序列呈现出周期、混沌和准周期的交错变化，特别当外加激励信号频率较低时，周期信号可以通过神经元ISI序列以反相同步的周期运动形式传递下去；同时无论是周期还是混沌激励信号，在神经系统中的传递均与其自身强度和神经元之间的耦合强度的大小密切相关；快变时间尺度的混沌激励信号在耦合的神经系统传递过程中，会造成大量基本信息的丢失；而慢变时间尺度的混沌激励信号在神经系统传递中，它的非线性特征信息，如混沌吸引子、不稳定周期轨道、Lyapunov指数谱和分形维数，会通过系统输出的ISI序列部分地重现出来，如与输入慢变时间尺度的混沌激励信号相比，神经系统输出的ISI序列具有：相似几何形状的混沌吸引子、相近的Lyapunov指数谱和分形维数、局部结构相同的不稳定周期轨道的排列方式。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。