查询词典 cylindrical coordinates

According to the structure and motion characteristics of the spherical offset mono-cone bit, compound cylindrical coordinates were set up, and basic geometric equations and the conditions of teeth to penetrate rock for the bit were presented.

针对偏心单牙轮钻头的结构和运动特点，利用复合圆柱坐标系统的基本原理，建立了偏心单牙轮钻头几何学基本方程和牙齿对岩石的吃入条件。

Applying the classical method,using anisotropic rectangular coordinates,this article educes the field strength expression by electrified cylindroid and cylindrical surface as well as infinite straight lead in linear anisotropic homogeneous dielectric.

应用各向异性直角坐标系的概念，借助经典的定理 E =- xΦ，导出了带电椭圆柱面、圆柱面、无限长直导线在线性各向异性均匀电介质中的场强表达式。

We derived the scalar quantity of magnetic quasi-static vector equation in the electromagnetic crystallizer in the cylindrical coordinates by assuming condition for the mathematical modeling of the electromagnetic crystallizer and dimensionless method and reduction of parameters of electromagnetic governing equations.

在假设了对电磁结晶器数学建模的依据条件下，通过对电磁控制方程组进行参数无量纲化和简化，在柱坐标系中，推导出电磁结晶器内的磁准静态矢量方程的标量形式。

IGMs are a kind of experimentally new-identified optical mode, standing with apparent potential in design and application. However, the mathematical expression of IGMs under Elliptic Cylindrical coordinates, preventing us from understanding IGMs instinctively, stands a formidable challenge in application. The pure mathematical expressions of IGMs are composed by a great deal of calculation, which also bids us no help in common use. I am, therefore, prompted to build an easier mathematical approach in this study.

Ince- Gaussian modes为在实验中可见的一种崭新型态的光学模态，对於我们在应用和设计上的实现，拥有许多潜力；然而，由於IGMs是在椭圆圆柱座标系下的数学来表示，造成了我们无法直觉的去了解，也成了我们在使用上的一大考验； IGMs的不易亲近，也让我们无从进一步去了解其物理特性，若纯粹以数学出发，又包含了庞大的运算，无法达到普遍的运用，是故我希望能在这篇论文使用简单的数学描述来达成对IGMs较平易近人的理解。

It is governed by the equation of continuity and momentum for the liquid in cylindrical coordinates with axial symmetry, the isentropic equation of state for water.

曲面头部的水弹高速冲击刚性表面的流体动力学问题，可以归结为无粘性、可压缩的不定常流动问题，受轴向对称园柱座标的连续和动量方程、水的等熵状态方程支配。

When a solid region in three-space has an axis of symmetry, the evaluation of triple integrals overis often facilitated by using cylindrical coordinates.

当空间立体区域有一个对称轴时，计算上的三重积分通常使用柱坐标比较容易。

It is solved by means of the Fourier expansion and Hankel transform. A general solution is got on the cylindrical coordinates.

自从Biot[1，2 ] 建立饱和多孔介质本构关系和运动方程以来，人们已经作了大量研究工作[3 ，4，5] 。

The Fourier transformations about the azimuthal angle and Hankel transformation about the radial direction have been used to convert the basic equations of elasticity into a non-homogenous first-order ordinary differential equation system in cylindrical coordinates.

在柱坐标系下，利用关于方位角的Fourier变换及关于径向的Hankel变换，将弹性力学基本方程组转化为非齐次的一阶常微分方程组的标准形式。

This thesis focus on GPS application in magnetic suspension engineering:① the formulation of oblique cylindrical projection is worked out according to characteristics of long distance precise engineering and map projection theory. The author has developed an application to accomplish coordinate conversion from generally used coordinate systems to oblique Maglev Coordinates System.② considering not only project peculiarities but also position of control points, selection of initial points, connection type, selection of repeat baseline and ground observed quantities, GPS network is designed on electronic map and we may extract GPS network information by program developed using Visual Basic 6.0 while the results are stored in control point file and baseline vector file.③estimate accuracy of various GPS networks designed on electronic map by method of 2D restriction adjustment. GPS network simulation design and accuracy estimate come true.④Predominate the rules how connection type , repeat baseline and precise baseline of range finder influence GPS network precision through comparing accuracy of various GPS network. Thereby, the solution how to establish GPS network in long distance precise engineering is figured out.

本论文主要研究GPS技术在磁悬浮工程中的应用：①根据长距离精密工程的特点，从地图投影原理出发，推导出斜轴圆柱投影的应用公式，并编制计算软件，实现从常用坐标系统向斜轴磁悬浮坐标系统的转换计算；②在AutoCAD电子地图上，根据工程的需要，并充分考虑控制点的点位、起算点的选择、连接方式、重复基线的选择和地面观测量的选择等因素，在电子地图上进行GPS网的设计，根据Visual Basic 6.0语言编程，提取出GPS网资料，保存在控制点文件和基线向量文件中；③对在电子地图生成的各种类型的GPS网进行二维约束平差的精度估算，实现了GPS网的模拟设计与精度估算；④通过对各种控制网的精度比较，掌握连接方式、重复基线、精密测距仪基线对GPS网精度影响的规律，解决了长距离精密工程GPS网的建立方法。

In development of these programs under cylindrical coordinates, the singularity at the pole and transfer phenomenon across the pole were studied deeply and a numerical method which has made these programs efficient in 3D function was advanced and employed to eliminate the singularity by setting up a special mesh at the pole on the polar plane.

针对炼钢生产钢包吹气搅拌精炼工艺，本论文从开发数值仿真程序入手，分别对吹气搅拌条件下钢包金属熔池体系的流体流动、传热和传质、夹杂物碰撞长大和排除等传输现象进行了数学模型或物理模型研究。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。