查询词典 scale modulus

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According to the change regularity of deformation modulus, combining with the rock mass structure characteristic of region studied, using interpolation method, the deformation modulus of rock mass in 36# adit can be deduced. The average vertical deformation modulus of rock mass during 0-70 zone is 39Gpa, and the horizontal deformation modulus of rock mass is 51. 3GPa in nature stress state and 50.8GPa in engineering load state. The average vertical deformation modulus of rock mass during 70-140 zone is 32. 2Gpa, and the horizontal deformation modulus of rock mass is 41GPa in nature stress state and 42. 6GPa in engineering load state. It will be a good reference of engineering design and evaluation.

9根据节理岩体变形模量变化规律，结合研究区岩体的结构特点，采用插值的方法对36号平硐岩体进行变形模量的推测，得到0-70段岩体的平均铅直向的变形模量为39GPa，水平向的变形模量：天然应力状态下为51.3GPa，工程荷载作用下为50.8GPa；70-140段岩体的平均铅直向的变形模量为32.2GPa，平向的变形模量：天然应力状态下为41GPa，工程荷载作用下为42.6GPa，这为工程设计、评程设计、评价等提供了必要的参考。

The first step of this method is to remove the noises of image edge using wavelet modulus maximum's performance in multi-scale and Lipschitz exponent relation,and then adopts dynamic threshold,that is,former scale modulus image's mean modulus is used as next scale's modulus image threshold.Finally,this arithmetic is tested in image databases of cars.

一种改进的小波模极大值不变矩算法，首先利用小波模极大值在多尺度上的表现与Lipschitz指数的关系去除图像边缘的噪声点，然后采用动态确定阈值的方法，利用前一个尺度下模图像的平均模值作为后一个尺度下模图像的阈值，最后将此算法应用于汽车图像库。

Results of analysis show that Generalized Paris Law can consider the complex crack propagation in the material of the pavement structure. The fatigue life of the pavement increases with increasing thickness of surface layer in a power function. Use of a thicker surface layer may extend the service life of the asphalt pavement. The fatigue life increases with decreasing modulus of surface layer in a power function with a negative exponent. However, since reduced modulus would scarify the structural strength and might cause rutting-related distress, caution should be taken when using low modulus materials for improving fatigue performance of asphalt pavements. The fatigue life increases with increasing modulus of base material in a power function. However, the fatigue life can not infinitely increases with increasing modulus of the base.

计算与分析表明：广义Paris公式可以考虑沥青路面结构内材料复杂的裂缝扩展：沥青面层的疲劳寿命随着面层厚度的增加以幂函数的形式增加，适当增加沥青面层厚度可以提高路面的使用寿命；沥青面层的疲劳寿命随着面层材料模量的降低以负指数的幂函数形式增加；由于材料模量的降低将牺牲路面的整体强度并可能引起路面车辙类损坏，以此提高疲劳寿命的方法应慎重对待；沥青面层的疲劳寿命随着基层材料模量的增加呈幂函数的形式增加，但由疲劳方程可以看出，寿命并不是随基层材料模量的增加而无限的增加，疲劳曲线在经过一个上升段后，逐渐趋于一个常数值，这说明，这时基层模量对寿命已不作关键性贡献；随着底基层厚度的增加，面层的疲劳寿命近似地呈线性函数增加，但效果并不很明显。

The main research tasks and results are as follows:(1) Through comparing the stress intensity factor of compact tension specimen calculated by finite element software with the theoretical value, the feasibility of calculating fracture parameters of crack tip in ABAQUS software was verified.(2) The relationship between the elastic modulus of the material and research scale was studied based on deriving the cohesive stress theory and other relevant theories. And the elastic modulus of the material on meso-scale was determined.(3) Global model and sub-model of the finite element were built in th...e macro-scale, and stress-strain field nearby the crack tip was analyzed, and the results show that the detailed stress-strain in the crack tip could be obtained by using the sub-model technique.(4) In meso-scale, the crack growth model was also established by assuming the crack propagating along the grain boundary, and the detailed stress-strain field in the crack tip was obtained.(5) The effect of crack length on Von Mises stress, and maximum principal stress and strain was analyzed in meso-scale when equivalent KI equals 30MPa.m1/2. And the results show that except for crack tip area, the stress-strain distribution in whole specimen is not affected.

主要完成研究内容和取得成果如下：(1)利用有限元软件计算出紧凑拉伸试样的裂纹尖端应力强度因子KI值，其结果与理论值一致，从而验证了利用ABAQUS计算裂纹尖端相关断裂参量的可行性；(2)在研究内聚应力等相关理论的基础上，推导出了研究尺度与材料弹性模量的近似关系，并确定了介观尺度上的弹性模量；(3)在宏观尺度上建立了全局有限元计算模型和子模型，得到了裂纹尖端应力应变场分布，结果表明利用子模型技术获得比较准确的裂纹尖端应力应变场分布是可行的；(4)在介观尺度上利用平均晶粒尺度的方式建立了裂纹沿晶扩展模型，得到了裂纹尖端断裂过程区的微观应力应变场；(5)当应力强度因子为30MPa.m1/2时，分析了介观尺度上在裂纹沿晶扩展过程中裂纹长度对Mises应力、最大主应力和应变的影响，结果表明，裂纹扩展长度对试样整体应力应变分布影响不大，而对裂纹尖端区域有较大影响；(6)介。。。

The standard of the characteristic scale firstly regarded the characteristic scale as a scale scope,not a concrete scale point or resolution.The method to select the characteristic scale is the corresponding scale on the local peak of wavelet detailed information variance-scale diagram and on the penk of wavelet detailed information entropy-scale diagram,the two particular scales make up of the characteristic scale scope.

特征尺度确定的标准为：以小波细节信息方差极大值的对应尺度+小波细节信息熵极大值的对应尺度为主要判定依据，同时辅以小波近似信息方差变化率出现极大值的对应尺度和小波空间自相关系数方差波动频繁的对应空间距离作为验证。

Secondly, using the relation between the weighted modified K-functional, the weighted modulus of smoothness ,the weighted main-part modulus of smoothness . we get the pointwise direct and inverse approximation theorem with Jacobi weight for Szdsz-Kantorovich operator. Thus some results on w = 0w(x denotes the weight function, Ditzian-Totik modulus and classic modulus are extend.

其次，引入一种改变的带权K-泛函，利用带权光滑模和带权主部光滑的关系及带权光滑模与改变带权K-泛函的等价性，关于Szász-Kantorovich算子，讨论了一阶矩不为零的算子的点态带Jacobi权逼近正定理及等价定理，推广了已有的权为零及Ditzian-Totik光滑模和古典光滑模的结果。

Among those; studies, Liu and Bek have obtained many important results for the theory and applications of Banach spaces and their geometry on complex number,(see [3],[41])Here, we have investigated the TP modulus of convexity and TP modulus of smoothness, on the one hand, we have defined a class of new spaces called uniformly TP convex ,on the other hand, we have extended martingale inequalities and the martingale spaces.This article is divided into four parts, in the first part, we define the TP modulus of convexity and TP modulus of smoothness of Banach space, and prove that the space which is characterized by uniform convexity is same as the space which is characterized by TP uniform convexity. Then we give TP q-uniformly convex and TP p-uniformly smoothable characterization of the Banach space. At the same time, we prove the famous renormed theorem.

本文分为四部分，第一部分在Banach空间上定义了一个新的TP凸性模和TP光滑模并证明了在Banach空间上它分别和一致凸性和一致光滑性刻划的空间是同构的，即如果Banach空间X是一致TP凸的充分必要条件是存在一个等价范数，使得在此范数下，它是一致凸的；Banach空间X是一致TP光滑的充分必要条件是存在一个等价范数，使得在此范数下，它是一致光滑的，我们还分别得出了判定一致TP凸和一致TP光滑的一些充分必要条件，同时还证明了箸名的重赋范定理。

According to the double-axis experiment and the uniaxial tension experiment, shear relaxation modulus and bulk relaxation modulus are obtained. Fractional exponent models[23][24][25] are applied to shear relaxation modulus and bulk relaxation modulus. The theory is proved by constant amplitude cyclic strain experiment. Better results are obtained from the comparison of theory curves and experiment results.

通过双轴拉压实验来确定材料的切变松弛模量，单轴拉伸实验来确定材料的体变松弛模量，对这两种模量均采用分数阶指数的形式来进行拟合，再用等应变幅循环历史的实验验证了理论，得到了较好的结果。

Firstly,by the analysis of influencing factors of settlement of loessal foundation, results indicated that among the three settlement methods such as the layer-wise summation method based on chord modulus, the layer-wise summation method based on modulus of compressibility and the layer-wise summation method based on modulus of deformation and so on, the layer-wise summation method based on chord modulus is superior to the other two methods and is very close to the actual measurement settlement of building according to the grey incidence analysis on influencing factors of settlement.

本文采用灰色系统理论中的关联分析法对黄土地基变形进行了因素关联分析，并取得一些成果。通过分析影响黄土压缩变形的因素，对于沉降变形因素的关联分析，在对影响变形的诸因素进行分析的基础上，最终证明选择了四种因素作为确定弦线模量表依据的正确性，证明了据此建立的以弦线模量为基础的变形定量分析的表达式是可行的。从关联分析以及弦线模量法的简便、直观、便于推广应用的特点来看，弦线模量法计算沉降是值得大力推广的。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。