J^＊ INTEGRAL OF THE SPECIFIC DEVIATOR STRAIN ENERGY AND ITS APPLICATION

First the deviator strain energy is introduced, then the problem of plane-crack critical growth was discussed, a path independent line integral J* was defined, furthermore its conservation was proved strictly. As application examples, Mode-I stress intensity factors of cracked beams were obtained with present approach. The results are shown to agree well with those available in the open literature.

Computing large deviation prefactors of stochastic dynamical systems based on machine learning

We present a large deviation theory that characterizes the exponential estimate for rare events in stochastic dynamical systems in the limit of weak noise.We aim to consider a next-to-leading-order approximation for more accurate calculation of the mean exit time by computing large deviation prefactors with the aid of machine learning.More specifically,we design a neural network framework to compute quasipotential,most probable paths and prefactors based on the orthogonal decomposition of a vector field.We corroborate the higher effectiveness and accuracy of our algorithm with two toy models.Numerical experiments demonstrate its powerful functionality in exploring the internal mechanism of rare events triggered by weak random fluctuations.

On the calibration of a shear stress criterion for rock joints to represent the full stress-strain profile

Conventional numerical solutions developed to describe the geomechanical behavior of rock interfaces subjected to differential load emphasize peak and residual shear strengths.The detailed analysis of preand post-peak shear stress-displacement behavior is central to various time-dependent and dynamic rock mechanic problems such as rockbursts and structural instabilities in highly stressed conditions.The complete stress-displacement surface(CSDS)model was developed to describe analytically the pre-and post-peak behavior of rock interfaces under differential loads.Original formulations of the CSDS model required extensive curve-fitting iterations which limited its practical applicability and transparent integration into engineering tools.The present work proposes modifications to the CSDS model aimed at developing a comprehensive and modern calibration protocol to describe the complete shear stressdisplacement behavior of rock interfaces under differential loads.The proposed update to the CSDS model incorporates the concept of mobilized shear strength to enhance the post-peak formulations.Barton’s concepts of joint roughness coefficient(JRC)and joint compressive strength(JCS)are incorporated to facilitate empirical estimations for peak shear stress and normal closure relations.Triaxial/uniaxial compression test and direct shear test results are used to validate the updated model and exemplify the proposed calibration method.The results illustrate that the revised model successfully predicts the post-peak and complete axial stressestrain and shear stressedisplacement curves for rock joints.

Study on the simulation of acoustic logging measurements in horizontal and deviated wells

The conventional acoustic logging interpretation method, which is based on vertical wells that penetrate isotropic formations, is not suitable for horizontal and deviated wells penetrating anisotropic formations. This unsuitability is because during horizontal and deviated well drilling, cuttings will splash on the well wall or fall into the borehole bottom and form a thin bed of cuttings. In addition, the high velocity layers at different depths and intrinsic anisotropy may affect acoustic logging measurements. In this study, we examine how these factors affect the acoustic wave slowness measured in horizontal and deviated wells that are surrounded by an anisotropic medium using numerical simulation. We use the staggered-grid finite difference method in time domain （FDTD） combined with hybrid-PML. First, we acquire the acoustic slowness using a simulated array logging system, and then, we analyze how various factors affect acoustic slowness measurements and the differences between the effects of these factors. The factors considered are high-velocity layers, thin beds of cuttings, dipping angle, formation thickness, and anisotropy. The simulation results show that these factors affect acoustic wave slowness measurements differently. We observe that when the wavelength is much smaller than the distance between the borehole wall and high velocity layer, the true slowness of the formation could be acquired. When the wavelengths are of the same order （i.e., in the near-field scenarios）, the geometrical acoustics theory is no longer applicable. Furthermore, when a thin bed of cuttings exists at the bottom of the borehole, Fermat＇s principle is still applicable, and true slowness can be acquired. In anisotropic formations, the measured slowness changes with increments in the dipping angle. Finally, for a measurement system with specific spacing, the slowness of a thin target layer can be acquired when the distance covered by the logging tool is sufficiently long. Based on systematical simulations with different dipping angles and anisotropy in homogenous TI media, slowness estimation charts are established to quantitatively determine the slowness at any dipping angle and for any value of the anisotropic ratio. Synthetic examples with different acoustic logging tools and different elastic parameters demonstrate that the acoustic slowness estimation method can be conveniently applied to horizontal and deviated wells in TI formations with high accuracy.

NONLINEAR BUCKLING ANALYSIS OF TUBING IN DEVIATED WELLS BY FINITE ELEMENT METHOD

The equilibrium equations and the functional for tubing buckling in arbitrary straight wells are derived. The entire buckling process of tubing in deviated wells is analyzed for the first time by utilizing the finite element method. The effects of gravity and torques on the buckling are included in the analyses and the calculated results are well compared with existing solutions. It is shown that the buckling only occurs at the lower portion of the tubing where the axial load is the largest, and the contact force of the well, the bending moment of the tubing and the buckling displacement of this portion vary periodically. The buckling spreads upwards from the bit with the increase of axial load. There is no buckling at the upper portion of the tubing where the bending moment is zero. And the contact force of this section increases only slightly with the increase of the axial load. With the increase of the deviation angle, the length of buckling portion and buckling displacement amplitude decrease, the contact force increases with the increase of load at the upper portion and its amplitude decreases at the lower buckling section, the bending moment remains zero at the upper portion and its amplitude decreases at the lower buckling portion. The buckling displacement increases with the increase of the torque, but the increment is very small.

IMPROVED FOURIER ALGORITHM FOR CORRECTING POWER SYSTEM FREQUENCY DEVIATION

On the basis of high precision requirement for input signals in the power system protection and control system,this paper,only for the influence of power system frequency deviation on extracting fundamental harmonic,studies the amplitude error of Fourier algorithm,presents a method of correcting frequency deviation,and further derives the formulas of improved Fourier algorithm.The simulation results verified the effectiveness of the algorithm,it not only can greatly weaken the influence of frequency deviation,but also increase the precision of the power system protection and control.As a result the study in this paper has practical application value.

Oscillation of Systems of Parabolic Differential Equations with Deviating Arguments

To study a class of boundary value problems of parabolic differential equations with deviating arguments, averaging technique, Green’s formula and symbol function sign(·) are used. The multi dimensional problem was reduced to a one dimensional oscillation problem for ordinary differential equations or inequalities. Two oscillatory criteria of solutions for systems of parabolic differential equations with deviating arguments are obtained.

A novel method for eliminating rotation deviation in sequential images mosaic

To eliminate rotation deviation of sequential images mosaic when measuring linear dimensions of large scale parts with computer vision, a novel algorithm based on the chain code searching method is proposed. After image preprocessing, including image filtering, image segmentation, and edge detection, the chain code length of the contour line can be searched out by the proposed method. Then, the angle from the contour line to the coordinate axis is computed with the length of the contour line. After that, the sequence is rotated in the opposite direction and the rotation deviation is eliminated. It is prepared for the next mosaic of sequences in eliminating shifting deviation. Experiments are carried out on parts with a linear profile rotating angle from 0° to 9°. The results show that compared with the commonly used Hough transform, the new method has higher precision and faster speed, which is important in realizing online high precision measurements of large scale parts with a linear profile.

Influence of Microstructure Change of Seafloor Sediments on the Sound Velocity in them in the Course of Stress-strain

Test tools and methods for synchronizing acoustic measurements in the course of stress-strain for seafloor sediment are elaborated and the test data of 45 sediment samples from the seafloor in the South China Sea are analysed. The result shows that the coarser the sediment grains are, the smaller the porosity is and the larger the unconfined compression strength is, the higher the sound velocity is. In the course of stress-strain, the sediment sound velocity varies obviously with the stress. Acoustic characteristics of sediment in different strain phases and the influence of sediment microstructure change on its sound velocity are discussed. This study will be of important significance for surveying wells of petroleum geology and evaluating the base stabilization of seafloor engineering.

On a Class of Second Order Differential Inequality with Continuous Distributed Deviating Arguments

Aim To study properties of solutions to a class of second order differential inequality with continuous distributed deviating arguments. Methods A direct analysis technique was used. Results and Conclusion Some sufficient conditions that ensure a class of second order delay differential inequality having no eventually positive solutions were obtained, which generalized some given results. Using the results, some oscillatory criteria for solutions of the hyperbolic equation with distributed deviating arguments can be established.

Precise large deviation result for heavy-tailed random sums and applications to risk theory

The differences between two sequences of nonnegative independent and identically distributed random variables with sub-exponential tails and the random index are studied. The random index is a strictly stationary renewal counting process generated by some negatively associated random variables. Using a revised large deviation result of partial sums, the elementary renewal theorem and the central limit theorem of negatively associated random variables, a precise large deviation result is derived for the random sums. The result is applied to the customer-arrival-based insurance risk model. Some uniform asymptotics for the ruin probabilities of an insurance company are obtained as the number of customers or the time tends to infinity.

Deviation in Advertising English from a Stylistic Perspective

Advertising English is viewed as an English style with such functional factors as attention value, readability, memorability, selling power. Commercial advertisements are the major concern of this paper. Deviation, namely the violation to the norms of a language, frequently appears in advertisements and can meet requirements of the style of advertising English. Due to limited space, this paper focuses on deviation on the phonological, graphological, lexical, grammatical, and semantic level. Analyzing deviation in advertising English can promote readers' aesthetic and appreciative ability and encourage advertisers to create advertisements with more efficiency, novelty, innovation in more effective language.

Stylistic Analysis of Rossetti's Song with the Technique of Deviation

Song is one of Christina Georgina Rossetti's most outstanding death poems,dealing with the main themes that she concerns:death,love and religion.This paper tries to use the technique of deviation that refers to violations to the standard language and readers'expectations to interpret this poem's stylistic features from the aspects of grammar,phonology,image,theme and narrative point of view.Through the stylistic analysis with the method of deviation,its solemn theme is exposed clearly.

Edge detection in the potential field using the correlation coefficients of multidirectional standard deviations

Most edge-detection methods rely on calculating gradient derivatives of the potential field, a process that is easily affected by noise and is therefore of low stability. We propose a new edge-detection method named correlation coefficient of multidirectional standard deviations（CCMS） that is solely based on statistics. First, we prove the reliability of the proposed method using a single model and then a combination of models. The proposed method is evaluated by comparing the results with those obtained by other edge-detection methods. The CCMS method offers outstanding recognition, retains the sharpness of details, and has low sensitivity to noise. We also applied the CCMS method to Bouguer anomaly data of a potash deposit in Laos. The applicability of the CCMS method is shown by comparing the inferred tectonic framework to that inferred from remote sensing（RS） data.

Deviation Theories and Applications in Poetry Analysis

Poetry is prominent for its stylistic characteristics since texts themselves are the carrier of meaning,an analysis of the stylistic features of poems is conducive to the understanding and interpretation of them.It is of great significance to learn something about stylistics if we want to explore the meaning of poetry,this kind of method can also be used to analyze other literary works.

LARGE DEVIATIONS AND MODERATE DEVIATIONS FOR m-NEGATIVELY ASSOCIATED RANDOM VARIABLES

M-negatively associated random variables, which generalizes the classical one of negatively associated random variables and includes m-dependent sequences as its particular case, are introduced and studied. Large deviation principles and moderate deviation upper bounds for stationary m-negatively associated random variables are proved. Kolmogorov-type and Marcinkiewicz-type strong laws of large numbers as well as the three series theorem for m-negatively associated random variables are also given.

MODERATE DEVIATIONS AND LARGEDE VIATIONS FOR A TEST OF SYMMETRY BASED ON KERNEL DENSITY ESTIMATOR

Let fn be a non-parametric kernel density estimator based on a kernel function K. and a sequence of independent and identically distributed random variables taking values in R. The goal of this article is to prove moderate deviations and large deviations for the statistic sup ｜fn（x） - fn（-x） ｜.

基于医疗服务半径的中医类医疗机构空间配置及优化研究:以广州市增城区为例

背景随着中国传统医学纳入国际疾病分类第十一次修订本(ICD-11)编码,基层中医医疗资源的合理配置是推动中西医融合和优质医疗资源全民覆盖的保障。基层医疗机构布局和服务能力不均衡,导致城市乡镇地区普遍存在医疗资源供需错位问题。目的了解我国乡镇中医药服务开展状况,科学评价基层中医药诊疗的覆盖范围和服务可及性,为优化基层中医药服务空间资源配置提供新思路并据此提出优化策略。方法基于第七次全国人口普查数据和点状地理空间数据,引入医疗服务半径概念来计算步行模式下不同层级中医类医疗机构的诊疗范围。采用空间核密度指数、空间标准差椭圆等方法揭示中医类医疗服务供需能力的空间公平性。基于以上结果提出中医类医疗资源布局优化类型及措施。结果截至2022年增城区共计医疗机构699家,其中带有床位的中医类医疗机构18家,不同乡镇、街道的中医类医疗机构床位分布呈现出较大的差异。中滩镇千人口床位数为14.31张,在所有街道中排在第一位。永宁街道千人口床位数排在末位,仅为0.89张。增城区中医类医疗机构呈现出明显的双中心格局,中新镇中部、派潭镇北部和石滩镇西南部居民的中医药服务可获得性较弱。不同乡镇的中医药服务供给能力差别较大,中医类医疗机构空间分布同城镇居民的整体空间聚集程度还存在一定程度的不吻合,不同乡镇间的中医药服务半径存在差异。结论中医药发展战略实施以来,中国传统医学得到了保护和发展。应当采取更为科学的策略将中医药服务同城市发展和居民需求紧密结合,积极采取增加设施点、资源转移和下沉相结合、跨区域的中医药信息化联合诊疗的差异化策略,逐步实现真正意义上的全覆盖和中西医并重的战略。

青少年特发性脊柱侧凸患者步态参数、肌肉参数与影像学的相关性

背景:步态分析作为一种没有辐射的动态评估方法,可以辅助影像学检查对脊柱侧凸患者进行评估,从而减少辐射暴露。目的:分析青少年特发性脊柱侧凸患者步态参数与影像学参数的相关性,并通过OpenSim仿真建模初步探索潜在机制。方法:选取Cobb角10°-45°、年龄10-18岁的青少年特发性脊柱侧弯患者20例为青少年特发性脊柱侧凸组;对照组是同年龄阶段,且相同体质量指数区间的正常儿童,共计纳入40例受试者。比较两组受试者步行时空参数、运动学参数、动力学参数及步态偏差指数的差异,探索病理步态与冠状面平衡的相关性,并对相关机制进行初步研究。结果与结论:(1)步态参数组间比较结果表明,青少年特发性脊柱侧凸组患者左侧支撑相、左侧双支撑相占整个步态周期的百分比增加,同时左侧摆动相占整个步态周期的百分比减少(P <0.05);青少年特发性脊柱侧凸组患者左侧髋关节最大内收角度大于对照组,双侧髋关节最大外展角度明显小于对照组(P <0.05);两组双侧足跟初始着地时踝关节角度相比差异有显著性意义(P <0.05);青少年特发性脊柱侧凸患者蹬离地面时右侧髋关节屈曲肌群峰值功率显著变小(P <0.05);(2)相关性研究结果显示,右侧髋关节最大外展角度与Cobb角呈显著正相关(r=0.552,P=0.012),右侧髋关节屈曲肌群峰值功率和C7侧方偏移呈显著负相关(r=-0.475,P=0.034),左侧足跟着地时踝关节角度与冠状面骨盆倾斜度呈显著正相关(r=0.476,P=0.034);(3)肌肉长度模拟计算结果表明,青少年特发性脊柱侧凸患者臀中肌肌纤维长度变化显著减少(P <0.05),双侧腹内斜肌肌纤维长度变化显著减少(P <0.05);比较两组受试者在足跟着地时的肌纤维长度发现,青少年特发性脊柱侧凸患者足跟初始着地时腓肠肌内外侧头和比目鱼肌的肌纤维长度均变短(P <0.05);(4)结果发现,青少年特发性脊柱侧凸患者躯干的姿势稳定性控制下降,表现为步频变慢、支撑相双支撑相百分比增加及摆动相百分比减少;普遍存在低足跟着地模式,是由双侧跟腱紧张引起的;青少年特发性脊柱侧凸患者存在髋屈曲肌群做功能力下降,可能与关节角速度及主弯方向相关。

An Analysis of the Linguistic Deviation in Chapter X of Oliver Twist

Charles Dickens is one of the greatest critical realist writers of the Victorian Age.In language,he is often compared with William Shakespeare for his adeptness with the vernacular and large vocabulary.Charles Dickens achieved a recognizable place among English writers through the use of the stylistic features in his fictional language.Oliver Twist is the best representative of Charles Dickens’style,which makes it the most appropriate choice for the present stylistic study on Charles Dickens.No one who has ever read the dehumanizing workhouse scenes of Oliver Twist and the dark,criminal underworld life can forget them.This thesis attempts to investigate Oliver Twist through the approach of modern stylistics,particularly the theory of linguistic devia tion.This thesis consists of an introduction,the main body and a conclusion.The introduction offers a brief summary of the com ments on Charles Dickens and Chapter X of Oliver Twist,introduces the newly rising linguistic deviation theories,and brings about the theories on which this thesis settles.The main body explores the deviation effects produced from four aspects:lexical deviation,grammatical deviation,graphological deviation,and semantic deviation.It endeavors to show Dickens’manipulating language and the effects achieved through this manipulation.The conclusion mainly sums up the previous analysis,and reveals the theme of the novel,positive effect of linguistic deviation and significance of deviation application.