查询词典 theorem of principal 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。

In order to support and perfect the professionalization of principals, a series of systems are needed, which include the systems of principal's qualification, principal's selection, principal's responsibility, principal's term, principal's rank, principal's training, principal's supervision, principal's yearly salary and principal's withdrawal.

实现校长的专业化地位，必须有外部的一系列制度来加以支持与完善。这些制度与措施是校长资格制度、校长选拔制度、校长负责制度、校长任期制度、校长职级制度、校长培训制度、监督校长制度、校长年薪制度、校长退出制度。

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。

this article discusses the integral theorem of mean the promoted question, mainly has two aspects: On the one hand in analyzes in the teaching material under the first integral theorem of mean condition, had proven lies between the value spot to have to be possible to obtain in the open-interval, further discusses this knot promotes to the generalized Riemann integral, and further proved the conclusion also establishes to the promoted first integral theorem of mean; Promotes on the one hand in addition the integral theorem of mean to in the curve and the curved surface, and has proven the curvilinear integral theorem of mean and the surface integral theorem of mean.

本文讨论积分中值定理的推广问题，主要有二个方面：一方面在分析教材中第一积分中值定理的条件下，证明了介值点必可在开区间内取得，进一步将这个结论推广到广义Riemann积分，并进一步证明结论对推广的第一积分中值定理也成立；另一方面，将积分中值定理推广到曲线和曲面中，并证明了曲线积分中值定理和曲面积分中值定理。

The thesis will introduce, respectively, relevant concepts of residue theorem and its promotion and application in two parts In the basic concepts of chapter II, the definition, classification and relationship between function zero and pole of the isolated singular point are given to lead out relevant definition, theorem and solving method, while the core content of this paper is promotion and application of residue theorem, including calculation of integration by using residues, application in diagonal theorem and argument theorem, application in electromagnetism and theorem promotion and relevant application of extension theorems

本文将从两大部分分别引入和浅析了留数定理的相关概念及其推广和应用在第二章的基本概念部分中，给出了孤立奇点的定义和分类、函数零点与极点的关系，从而引出留数定理的相关定义与定理及其求法而本文的核心内容也就是留数定理的推广和应用，包括运用留数来计算积分、体现在对角定理与辐角定理中的应用、在电磁学中的应用及其定理的推广和推广定理的相关应用

Principal plane: Any plane that contains two principal axes is regarded as a principal strain plane, where AB refers to the maximum principal plane, BD, the minimum principal plane and AD, the intermediate one.

主平面：包含任意两个应变主轴的面称为主应变面。其中：AB面为最大主平面，BD面为最小主应变面，AC为中间中应变面。AD面-代表亚性面，BC-代表张性面

For the tests under the condition of cyclic rotation of principal stress axes, the magnitudes of three effective principal stresses were kept constant and only the principal stress axes rotated cyclically from 0 to 180 relative to vertical axis.

在应力主轴循环旋转试验中，控制施加在试样上的3个有效主应力的大小不变，仅应力主轴在0°~180°循环旋转。

Differential intermediate value theorem and the Taylor formula In this paper, leads to Fermat's theorem Rolle Mean Value Theorem, and then constructing auxiliary function of the Lagrange mean value theorem and Cauchy's Mean Value Theorem to prove that.

微分中值定理和泰勒公式本文通过费马定理引出罗尔中值定理，再构造辅助函数对拉格朗日中值定理和柯西中值定理进行证明。

Two-dimensional scatter plot of principal axes analysis,systematic cluster tree and the minimal spanning tree on the basis of niche overlaps were drawn,which revealed the ecological similarity of 42 moss species.The combinative application of principal axes analysis,systematic cluster analysis and minimal spanning tree method on the basis of niche overlaps could express the ecological similarities among species intuitively.

以此为指标，分别应用主坐标排序、图论聚类及系统聚类分析方法，作出了反映42种地面藓类的种间生态关系的二维投影图、最小生成树和动态聚类图。3种方法相结合，能够对生态位重叠值矩阵进行直观地表达，并使所表达的藓类种间关系具有确切的生态学含义。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。