查询词典 coordinate function

This project studies the scale-dependent deformation behavior of the metal matrix composite, the void nucleation and void growth mechanisms at the micron/submicron scale. The main results are:(1) In prophase, growth and coalescence of the void embedded in the graded matrix are analyzed in detailed;(2) Based on the infinite solid model containing a micro-void, coupling effects of the void shape and the void size on the void growth are studied carefully, the results show that it seems to exist a critical equivalent void radius, which is associated with the material length. When radius of a microvoid is close to or smaller than the critical void radius, the micro-void growth rate is essentially eliminated;(3) The coupling effects of the particle shape and size on the mesoscopic stress fields within the particle and matrix are also investigated by introducing the conception of inclusion/matrix interfacial energy. The results show that the stress concentration factors within the particle and on the matrix/particle interface are also strongly size-dependent,so the void nucleation mechanism is size-dependent.(4) By employing a specific orthogonal curve coordinate frame and a 'kernel function' conception, a 'unified method'solving the spheriodal and spherical void problems is suggested; by this unified method, size-dependent plastic potentials of the porous materials containing the spheriodal or spherical voids are obtained, which extend the traditional Gurson model for the spherical void and GLD model for the spheriodal voids to the micron scale.(5) Based on the RVE model containing the spheriodal or spherical particles, the influences of the particle shape and size on the size-dependent mechanical behavior of metal matrix composite are studied.

中文摘要：本项目对金属基复合材料在微细观尺度下的尺度相关变形行为、孔洞形核及长大的机理和模型进行了研究，取得了如下主要结果：1）在前期研究中，探讨了基体的梯度分布对孔洞长大和聚合的影响；2）基于含孔洞的无限大体模型，探讨了孔洞形状和孔洞尺寸对其长大的耦合作用，结果表明：可能存在一个与材料特征长度相关的临界孔洞尺寸，当椭球孔洞的等效半径小于临界孔洞半径时，孔洞的长大受到明显抑制；3）通过引入基体/夹杂界面能的概念，分析了夹杂尺寸、夹杂形状对材料细观应力场的耦合影响，结果表明：颗粒内部和界面上的应力集中因子强烈地依赖于夹杂的尺寸和形状，因此，孔洞的形核机理是尺寸相关的；4）采用一种特殊的正交曲线坐标系和引入"核函数"的概念，"统一"地得到了含椭球和球形孔洞的材料的尺寸相关塑性势，它将传统的Gurson球形孔洞模型和GLD椭球孔洞模型推广到微尺度范围；5）基于含椭球和球形夹杂的体胞模型，初步研究了夹杂形状、夹杂尺寸对金属基复合材料尺寸相关力学行为的影响。

In this paper, the super-network method is used to analyze the operation process of the supply chains and construct a super-network of the supply chains. In order to decompose total demand with given distribution function, customer choice theory is adopted to acquire the demand of each supply chain. By combining game theory with Newsvendor model, we put forward a revenue-share contract, which can coordinate the behaviors of the members included in a same supply chain under the environment of SC vs. SC competition.

本文利用超网络方法分析供应链运作过程，建立了两条竞争供应链的超网络结构；已知产品总需求的随机分布函数，运用顾客选择理论得到每条供应链的产品需求情况；利用博弈理论和Newsvendor模型，得到了供应链竞争环境下可协调链内成员的收益共享合同。

Compared with the conventional 2-D coordinate measuring systems, the new system has great improvement at measuring speed, aiming accuracy, measuring function and degree of automation The new system consists of two parts image measuring system of displacement and image autofocusing and aiming system The displacement measuring system in which CCD camera is used for locating the optical scale not only processes the advantages of absolute code measuring system powerful noiseproof feature, good long-time stability, easily compensated ruling error of optical scale, but also has the advantages of morden numerical systems easy numeralization and intelligence The autofocusing and aiming system in which CCD camera is applied for gaining the defocusing information and edge location information of workpiece enjoys the advantages of fast autofocusing, accurate result, high accuracy of edge detection and wide range of measured parameters, etc The feasibility of the new 2-D measuring system is analyzed in this thesis and related parameters are calculated.

详细本文在分析了现有二维中小尺寸测量系统中，光学仪器的光学读数系统和调焦、瞄准系统的优缺点之后，结合现代数字化仪器的优缺点，提出研制一种新的二维图像测量机系统。与传统二维坐标测量系统相比，新型系统在测量速度、瞄准精度、测量功能及自动化程度等方面都有较大的提高。该系统由图像式位移测量系统和图像式自动调焦、瞄准系统组成。图像式位移测量系统采用CCD摄象机拾取光学线纹尺的位置信息，既具有传统光学式绝对码位移测量系统的优点—抗干扰能力强、长期稳定性好、光学标尺误差易于补偿等优点，又具有现代化数字仪器易于微机化、智能化的优点。

And by applying the linear dispersion relation of wave, all the properties of wave refraction including wave rays, constant phase lines, phase function and crest lines etc., can be expressed in explicit functions. By introducing an orthogonal curvilinear coordinate along the wave ray and the constant phase line, and with an estimated scale factor, the refraction coefficients along any wave ray can then be determined. The present results are verified by ordinary wave ray theory and some previous numerical results.

就此特例情况在波浪的线性分散关係的应用下，前进波浪折射现象的整体特性，包括波向线、等位相线、位相函数与波峰线皆被导述出明確显然的函数表示；同时引入由沿著波向线与等位相线所构成的完全符合波浪折射几何通性的正交曲线座標，求出其尺度因子后，由能通量守衡原则定出沿著任一条波向线上的折射係数；並由之对往昔纯依两相邻的波向线间的几何类比所给定的折射係数给予导証之。

A vector having coordinate components that are the partial derivatives of a function with respect to its variables.

斜率一个矢量，其坐标分量是一个函数对其变量的偏微分

Mathematics A vector having coordinate components that are the partial derivatives of a function with respect to its variables.

斜率：一个矢量，其坐标分量是一个函数对其变量的偏微分

Generalized way ; graph analysis ; prime number distribution ; Kronecher function ; Hanavan model ; generalized coordinate ; generalized inertia force ; technical movement.

国家自然科学基金；高等学校博士学科点专项科研基金广义路径；线图分析；素数分布；卷和函数； Kronecher函数； Hanavan模型；广义坐标；广义惯性力；动作技术

Coefficient function I1 ,I2 ,I3 of quadratic carve is the invariant under the right - angled coordinate transform.

二次曲线的系数的函数I1，I2，I3是直角坐标变换下的不变量，而系数函数k只是转轴变换下的不变量。

The software can realize the function of sample current, compute speed, transform coordinate, Space Vector Pulse Width Modulate, etc.

其软件编程实现了电流采样、速度计算、坐标变换和空间矢量控制等功能。

Firstly, a signalized point is stuck on a moving object to be tested, a microphone array and two video cameras are arranged, and the video cameras are demarcated to obtain a projection matrix; sound pressure signals of a sound source in the moving object to be tested are obtained by the microphone in an array mode, the dynamic video of the moving object to be tested is obtained and disassembled into an image by the video cameras; the signalized point on the moving object to be tested is identified in the video image and the matched signalized point is treated with three-dimension reconstruction to obtain the spatial location of the moving object to be tested; the sound pressure signals are treated with beam forming treatment to obtain a sound field characteristic function scattergram of the moving object to be tested, the video image is treated with spatial coordinate superposition frame by frame and restored into a dynamic video image.

首先在被测运动物体粘贴标志点，布置传声器阵列和两台摄像机，对摄像机进行标定，得到投影矩阵；传声器阵列获取被测运动物体中声源的声压信号，摄像机获取被测运动物体的动态视频，将动态视频拆解成图像；在视频图像中识别出被测运动物体上的标志点，对匹配后的标志点进行三维重构，获取被测运动物体的空间位置；对声压信号进行波束成型处理，得到被测运动物体的声场特征函数分布图，将其视频图像进行逐帧空间坐标叠加，并还原成动态视频图像。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样