查询词典 three dimensional

By taking the strategy of uniting geometry with algebra and using the method of minimal value, the relationships of intersection, parallels and perpendicular between two three dimensional spaces in four-dimensional descriptive geometry are investigated and the calculation formula of the distance between two three-dimensional spaces are given.

用形数结合的观点和条件极值法，研究了四维空间的两三维空间的相交、平行和垂直的相互关系计算出两平行三维空间的距离。

Using fluid dynamics FEM (two dimensional, three dimensional andaxisymmetric) and three dimensional acoustic FEM in meticulous analysis ofexpansion muffler structure, this paper studies the influences of each mufflercomponents' position, dimension, form and quantity on the fluid dynamic andacoustic performances;therefore the paper indicates that the end of the intruding tubeis the linchpin of the fluid dynamic performance of the whole muffler structure, thespringhead of muffler fluid dynamic performance is the smoothness of air current, themain factor which affects the acoustic attenuation value of expansion chamber muffleris the grade of saltation of the section of air conducting access, and the attenuationvalue of specific frequency can be dramatically enhanced by carefully designing thelength of expansion chamber.

本文通过流体力学有限元方法和三维声学有限元方法对扩张腔消声结构的参数化模型进行了细致的分析，研究了这种结构的各个组成部份的位置、大小、形状和数量对其流体力学与声学性能的影响，指出插入管端口是影响整个结构流体力学性能的关键，消声结构流体力学性能的根源是气流通过时的平稳程度；影响扩张腔消声量的主要因素为声波传播通路截面突变的程度，并可以通过精细的设计扩张腔轴向长度获得宽频或指定频率消声量的大幅度提高。

Different models for different structure sections are established, namely, one-dimensional piping model for laneway or large hole, two-dimensional structure plane model for absciss layer and contacting weathering zone, three-dimensional seeping fracture section model.

分区建立了采空区不同注浆结构部位的理论模型，包括采空区空洞或巷道的一维"管道"模型、离层与接触风化带等结构面二维模型、导水裂隙带三维模型。

II.Based on the above fundamental solutions,the fundamental solutions ofplane and antiplane problems in two dimensional elasticity body are constructedunitedly by using the reduce dimension technique of integration and consideringtwo dimensional problems as particular cases of three dimensional ones.

将二维问题视为三维问题的特殊情形，由三维问题的基本解，采用积分降维技巧，统一导出了平面问题及反平面问题的单位集中不连续位移基本解；建立了一般边界积分方程；完成了相应的不连续位移边界元方法；给出了在断裂力学中的应用。

The general infinite dimensional modal system describing liquid nonlinear sloshing is derived first by pressure integral variational principle. After selecting two dominating modes and three secondary modes based on the Narimanov-Moiseev third order asymptotic hypothesis, the infinite dimensional modal system is reduced to a five dimensional asymptotic modal system.

首先通过压力积分变分原理推导出描述液体作非线性晃动的一般形式无穷维模态系统，然后根据 Narimanov-Moiseev三阶渐近假设关系，通过选取二阶主模态和三阶次模态，将无穷维模态系统降为五维渐近模态系统。

The frame of 28 or 29 is formed by two-dimensional highly undulated simple layers of (6,3) topology that catenate in a parallel fashion to give, for the first time, a three-dimensional overall network, instead that a usual two-dimensional one.

首次将二维高度起伏的具有(6， 3)拓扑结构的简单层，通过一种平行方式相互铰链，广延成一种三维聚合网络结构。

There are fourteen chapters, including introduction, plane stress and plane strain, two-dimensional problems in rectangular coordinates, two-dimensional problems in polar coordinates, photoelastic and moire experimental methods, two-dimensional problems in curvilinear coordinates, analysis of stress and strain in three dimensions, general theorems, torsion, bending of bars, axisymmetric stress and deformation in a solid of revolution, thermal stress, the propagation of waves in elastic solid media, at last there is an appendix on the application of finite-difference equations in elasticity.

全书共十四章，包括绪论、平面应力和平面应变、直角坐标中的二维问题、极坐标中的二维问题、光弹性与云纹实验方法、曲线坐标中的二维问题、三维应力和应变问题、一般定理、简单的三维弹性问题、扭转、杆的弯曲、回转体中的轴对称应力和变形、热应力、弹性固体介质中波的传播，最后有一附录，讲述差分方程在弹性理论中的应用。

Considering the popularity of plane problems, the expressio n of the elastic constant of three-dimensional piezoelectric materials under tw o-dimensional condition were also derived, which made preparations for the two -dimensional theoretic analysis.

考虑到平面问题的广泛性，推导得到了三维压电材料的弹性常数在二维情况下的表达式，为二维理论分析作出了准备。

SOC phenomena does not appears in classical one dimensional sandpile model, but for two or three dimensional model, it does. However, some people did some experiments with rice and find the SOC existing in one dimensional rice pile, it is not fit with the classical sandpile model. Nobody explained this phenomena.

在经典的一维沙堆模型中，沙堆崩塌时并没有出现自组织临界现象，只有在二维以上的沙堆模型中才出现自组织临界现象，然而，后来有人用米粒做实验，发现一维米粒堆中存在自组织临界现象，这与经典的一维沙堆模型相违背，但是却没能对这种现象作出一个较好的解释。

Poincaré, almost a hundred years ago, knew that a two dimensional sphere is essentially characterized by this property of simple connectivity, and asked the corresponding question for the three dimensional sphere (the set of points in four dimensional space at unit distance from the origin).

大 约在一百年以前，庞加莱已经知道，二维球面本质上可由单连通性来刻画，他提出三维球面（四维空间中与原点有单位距离的点的全体）的对应问题。

Alternatively, the con- trollers can use the synchronous rectifier itself or loss- less inductor current-sensing methods to provide overload protection with lower power dissipation.

另外，康威特罗勒斯可以使用同步整流器本身或亏损减少电感电流检测方法，以提供低功耗过载保护。

Mr. Dauber's other Schatz hangs in his home movie studio.

多伯把沙兹的另一件作品挂在家里的电影室。