查询词典 orthogonal axes

The main achievements could be summarized as follows.1. The basic stress-strain characteristics and related physical mechanisms for sands under cyclic rotation of principal stress axes were investigated based on three kinds of drained tests including fixed principal stress axes, cyclic rotation of principal stress axes with magnitudes of principal stresses kept constant, and cyclic changes of principal stresses in both their axes and magnitudes. The main deformation behavior of sands with inherent anisotropy under cyclic rotation of principal stress axes with magnitudes of principal stresses kept constant was obtained in the following.

本文从试验研究、规律分析、数学建模和工程应用四个方面，对应力主轴循环旋转条件下砂土的变形特性进行了较为深入的研究，取得了如下主要研究成果：(1)基于对饱和砂土进行的主轴固定单调剪切、纯应力主轴循环旋转以及主应力幅值与应力主轴耦合循环变化的三类完全排水试验成果，分析和揭示了应力主轴循环旋转条件下砂土的基本变形规律，并探讨了其受力变形的内在机理。

The plastic deformation induced due to cyclic rotation of principal stress axes alone can be in the same magnitude as that due to shear with fixed principal stress axes. 2 The volumetric strain due to shearing of cyclic rotation of principal stress axes is found to be composed of a reversible dilatancy component and an irreversible dilatancy component. The former is characterized by its reversibility and is independent of past shear history, the latter by its irreversibility increases with the increase of cycle number yet its increase rate decreases with its accumulation. 3 The obvious non-coaxiality between directions of the principal stresses and principal strain increments is found and its degree depends largely on the change of shear stress component. 4 The intermediate principal stress has considerable effects on the deformation behavior of sands in the condition of cyclic rotation of principal stress axes. The accumulation rate of the irreversible dilatancy component increases with the increase of the intermediate principal stress parameter.

具有初始各向异性的砂土在纯应力主轴循环旋转排水条件下的主要变形规律为：①纯应力主轴循环旋转可产生与应力主轴固定单调剪切处于同一数量级的塑性变形；②纯应力主轴循环旋转引起的剪切体变包含可逆性剪切体变分量和不可逆性剪切体变分量两部分，其中可逆性剪切体变分量在一周内可完全恢复，基本与应力历史无关；不可逆性剪切体变分量随循环周数的增加呈单调增加，且增加速率随其自身累积值的增大呈减小趋势；③应变增量主轴与应力主轴之间的非共轴现象显著，且在一周内具有分段性；④中主应力对应力主轴循环旋转条件下砂土的变形特性有重要影响，不可逆性剪切体变分量的累积速率随中主应力系数的增加而增加。

When these coefficients are quadratic functions of the porosity, specific constituent orthogonal weighting coefficients are derived from these orthogonal conditions along with a discussion about how to extend the applicable range of the constituent orthogonal weighting coefficients in the orthogonal coordinates. Based on the combination of the theory of critical porosity and the constituent model, it presents a specific example of the constituent model that includes two transforming points. The reasonability of above-mentioned theories is shown by comparison of theoretical calculations and measured data on effective elastic moduli of clean sandstone or sandstone analogs saturated with pure water.

再次，结合弹性模量组分关系方程与正交基函数理论，推导组分加权系数的正交条件；基于正交条件，提出组分加权系数为孔隙度二次多项式时正交组分加权系数的构造方法以及正交组分加权系数适用范围的拓展方法；结合临界孔隙度理论，提出一个基于两个状态分界点的组分模型实例；比较组分模型的计算结果与前人关于砂岩弹性模量的实验结果，证明了组分孔隙介质模型理论的合理性。

Orthogonal linear dispersive space time code constructs orthogonal base vector set of base matrix setwith orthogonal column vectors of a orthogonal matrix.

正交线性空时弥散码运用正交矩阵的列矢量构造空时正交调制基矢量或者基矩阵。

At the second place, feasibility of edge detection based on orthogonal wavelet is discussed in the article. Its theoretical key of edge detection based on orthogonal wavelet that approximate symmetrical or antisymmetrical orthogonal real wavelet can be constructed though Haar wavelet is the only symmetrical or antisymmetrical orthogonal real wavelet.

随后本文讨论了正交小波基用于边缘检测的可行性：虽然除了Haar小波外再也找不到对称或反对称的正交实小波，但是可以构造出近似对称或反对称的正交实小波，这就是正交小波用于边缘检测的理论关键。

RESULTS: The self-prepared 3-D external distractor was 30 g. The lengthener was built to provide 3-D suture expansion osteogenesis by changing the direction. The expansion bar could be moved about 2 cm in anteroposterior axes, 3.5 cm in perpendicular axes, 3 cm in coronal axes.

结果：自行研制的三维缝牵张器重量30 g，牵张杆前后向移动2 cm左右，上下方向移动3.5 cm左右，向外移动3 cm左右，牵张控制准确，三维变向简便易行。

Based on the former study of soils constitutive relation involving principal stress axes rotation,the influences of principal stress axes rotation on the distribution of stress and deformation of soils are provided through numerical simulation of plane strain problems of soils involving rotation of principal stress axes.

在含主应力轴旋转的土体本构关系研究的基础上，通过含主应力轴旋转的土体平面应变问题的弹塑性数值模拟结果分析，总结主应力轴旋转对土体应力分布与变形影响的规律，得出需要考虑主应力轴旋转的条件及其影响的相对大小。

Rotating around one axis does not reorient the other axes, and you can end up in a situation where two axes cancel eachother out, making it look as if one of the rotation axes is \"broken\".

绕着一个轴旋转不能够再适应其它的轴，你可以在一个位置停止，在那里两个轴相互抵消掉了，那看起来就好像其中一个个轴断了一样。

The ordinary edge detection methods such as Sobel and Canny operators are immune to noise, which result in cophasal axes discontinuity due to lack of edge information caused by noise. In order to extract cophasal axes more continuous and immune to noise, a novel approach is developed based on edge detection. Firstly, the median filter and improved Sobel method are used to preprocess seismic section images. Secondly, the threshold value is determined automatically based on variance to detect abnormal information. Finally, the complete cophasal axes are extracted after a post-processing.

由于边缘检测中常用的Sobel算子和Canny算子检测同相轴时对噪声免疫差，常因噪声因素引起边缘信息缺失导致同相轴提取不连续，本文采用中值滤波并对Sobel算子进行改进，对地震剖面图进行预处理，结合均方差自动确定阈值并进行异常检测，提取完整同相轴。

From the existing archaeological discoveries, we can see that in the Paleolithic Age, there have been a tip-shaped stones, stone balls, stone hand axes, bone spears. Until the end of the Neolithic Age, there appeared a large number of stone axes, stone shovels, stone knives and bone harpoons, arrowheads, and even copper tomahawks, copper axes and so on.

从现有的考古发现中我们可以看到，在旧石器时代，已出现了尖状石器、石球、石手斧、骨角加工的矛，而到了新石器时代末期，则出现了大量的石斧、石铲、石刀和骨制的鱼叉、箭镞，甚至还有铜钺、铜斧等。

And he is one of the few scouts who are occasionally sent out to have dealings with other peoples.

而他也是少数的几位偶尔会被派出去和外界人打交道的巡逻人员之一。

The sons of Hebron: Korah, Tappuah, Rekem and Shema.

希伯仑的儿子是可拉，他普亚，利肯，示玛。