Image encryption technique based on new two-dimensional fractional-order discrete chaotic map and Menezes–Vanstone elliptic curve cryptosystem

We propose a new fractional two-dimensional triangle function combination discrete chaotic map(2D-TFCDM)with the discrete fractional difference.Moreover,the chaos behaviors of the proposed map are observed and the bifurcation diagrams,the largest Lyapunov exponent plot,and the phase portraits are derived,respectively.Finally,with the secret keys generated by Menezes-Vanstone elliptic curve cryptosystem,we apply the discrete fractional map into color image encryption.After that,the image encryption algorithm is analyzed in four aspects and the result indicates that the proposed algorithm is more superior than the other algorithms.

Magnetic Field Curves and Magnetic Equipotential Surfaces around Crossing Electrical Wires Replacing Classical Magnetic Field Lines

This article is based on a recent model specifically defining magnetic field values around electrical wires. With this model, calculations of field around parallel wires were obtained. Now, this model is extended with the new concept of magnetic equipotential surface to magnetic field curves around crossing wires. Cases of single, double, and triple wires are described. Subsequent article will be conducted for more general scenarios where wires are neither infinite nor parallel.

SOLUTION OF MULTIPLE CURVED RIGID LINE ANDANTIPLANE CIRCULAR INCLUSION PROBLEM BYWEAKLY SINGULAR INTEGRAL EQUATION

Interaction between multiple curved rigid line and circular inclusion in antiplane loading condition was considered. Two kinds of elementary solutions corresponding to a concentrated force applying at inclusion and matrix material respectively were presented. Utilizing the elementary solutions and taking density function of traction difference along curved rigid line, a group of weakly singular integral equations with log kernels can be obtained. After the numerical solution of the integral equations, the discrete values of density functions of traction difference are obtainable. So stress singularity coefficients at rigid line tips can be calculated, and several numerical examples are given.

THE INTERACTION BETWEEN MULTIPLE CURVED RIGID LINE AND ANTIPLANE CIRCULAR INCLUSION

The interaction between multiple curved rigid line and circular inclusion in antiplane loading condition is considered in this paper. By utilizing the point force elementary solutions and taking density function of traction difference along curved rigid lines, a group of weakly singular integral equations with logarithmic kernels can be obtained. After the numerical solution of the integral equations, the discrete values of density functions of traction difference are obtainable. So the stress singularity coefficient at rigid line tips can be calculated, and two numerical examples are given.

GENERALIZED FATIGUE CONSTANT LIFE CURVE AND TWO-DIMENSIONAL PROBABILITY DISTRIBUTION OF FATIGUE LIMIT

According to the traditional fatigue constant life curve, the concept and the universal expression of the generalized fatigue constant life curve were proposed. Then, on the basis of the optimization method of the correlation coefficient, the parameter estimation formulas were induced and the generalized fatigue constant life curve with the reliability level p was given. From P-S-a-S-m curve, the two-dimensional probability distribution of the fatigue limit was derived. After then, three se, of tests of LY11 CZ corresponding to the different average stress were carried out in terms of the two-dimensional up-down method. Finally, the methods are used to analyze the test results, and it is found that the analyzed results with the high precision may be obtained.

Observation of the Two-Dimensional Distribution of Impurity Line Emissions Using a Space-Resolved EUV Spectrometer in LHD

A space-resolved EUV spectrometer for measuring the one-dimensional distribution of impurity line emissions in Large Helical Device （LHD） has been upgraded to measure two- dimensional distributions of impurity line emissions with an extension of working wavelength range to 30-650% The two-dimensional measurement is performed by scanning the observation chord horizontally. A rectangular plasma region of 520 × 700 mm2 in vertical and horizontal sizes can be observed during a single horizontal scan. The horizontal scan requires a time duration of 5 s at least. The spatial resolution is 10 mm in the vertical direction when a spatial-resolution slit of 0.2 mm in width is adopted. Although a spatial resolution in the toroidal direction is 75 mm, it is a function of CCD exposure time and horizontal scanning speed. Two-dimensional distribution of EUV line emissions from several impurities has been successfully observed for the first time from steady discharges in LHD. In this paper two-dimensional distributions of He II （303.78A）, C V （40.27A）, C VI （33.73A） and Fe XX （132.85A） located at different radial positions are presented with simple analysis on the magnetic field structure of LHD.

3D reconstruction of complex curved objects from line drawings

An active research topic in computer vision and graphics is developing algorithms that can reconstruct the 3D surface of curved objects from line drawings. There are a number of algorithms have been dedicated to solve this problem, but they can＇t solve this problem when the geometric structure of a curved object becomes complex. This paper proposes a novel approach to reconstructing a complex curved 3D object from single 2D line drawings. Our approach has three steps： （1） decomposing a complex line drawing into several simpler line drawings and transforming them into polyhedron; （2） reconstructing the 3D wireframe of curved object from these simpler line drawings and generating the curved faces; （3） combining the 3D objects into the complete objects. A number of examples are given to demonstrate the ability of our approach to successfully perform reconstruction of curved objects which are more complex than previous methods.

Analysis of Resistance-related Proteins in Rice Against Brown Planthopper by Two-dimensional Electrophoresis

A recombinant inbred population (RI) was constructed from a cross between B5, an introgression. line from the wild rice Oryza officinalis Wall. ex Watt, and susceptible cultivar Minghui 63 ( O. sativa L.). The brown planthopper ( BPH) resistances of RI lines were evaluated. Based on bulked segregant analysis (BSA), two protein bulks were made by extracting proteins from equally mixed seedlings of extremely resistant and susceptible plants selected from the RI population, respectively. Two-dimensional electrophoresis was used to detect the changes of polypeptide pattern. Results showed that a protein P40 ( pI 6.3, Mw 40 kD) was significantly reduced or vanished after BPH infestation for 48 h in the susceptible bulk, while it remained uninfluenced in the resistant bulk. In connection with the physiological changes of the resistant and susceptible lines subjected to BPH sucking, we suppose that the protein P40 is related to the interaction responses of lice plants to BPH infestation.

Experimental Study on the Aerodynamic Performance of Swept-Curved Blade

Compared with a straight blade, a unique compressor blade integratedforward-swept and positive-curved stacking line is studied experimentally. Aerodynamic parameters ofthe two cascades are measured by a five-hole probe at different positions and ink trace flowvisualization is conducted on blade surfaces. The result shows that the swept-curved cascade haslower endwall loss and higher midspan loss as compared with the straight cascade. However, lowerloss is accompanied with lower diffusion factor. Opposite 'C' shape static pressure distribution isestablished on the suction surface of the swept-curved blade, which is helpful for avoiding theaccumulation of low energy fluid in the endwall corner region. Anyhow the studies support theconclusion that the swept-curved blade conduces to not only the reduction of overall loss but alsothe improvement of stable operation in the endwall corner region.

Design Curves for Mooring Lines of Turret Mooring Systems

This paper presents a series of design curves to aid in the selection of turret mooring systems for tankers based Floating Production Storage and Offloading (FPSO) systems. These curves are appropriate to water depths ranging from 100 m to 600 m. The curves can be used as a preliminary design tool, allowing the designer to quickly evaluate alternative mooring system configurations, including the number of mooring lines, the characteristics of chain and wire rope to be deployed and the. initial tension. With a knowledge of the total environmental force and vessel motion characteristics, the designer can determine the appropriate system for closer evaluation.

Curved surface effect and emission on silicon nanostructures

The curved surface （CS） effect on nanosilicon plays a main role in the activation for emission and photonic manipulation. The CS effect breaks the symmetrical shape of nanosilicon on which some bonds can produce localized electron states in the band gap. The investigation in calculation and experiment demonstrates that the different curvatures can form the characteristic electron states for some special bonding on the nanosilicon surface, which are related to a series of peaks in photoluminecience （PL）, such as LN, LNO, Lo1, and Lo2 lines in PL spectra due to Si-N, Si-NO, Si=O, and Si-O-Si bonds on curved surface, respectively. Si-Yb bond on curved surface of Si nanostructures can provide the localized states in the band gap deeply and manipulate the emission wavelength into the window of optical communication by the CS effect, which is marked as the Lyb line of electroluminescence （EL） emission.

POSITIONAL ERROR CURVES BAND OF A PLANAR LINE SEGMENT WITHIN GISs

In this paper, the positional error curve of point features was extended to an error curves band of line segment features. Firstly, the constitution and shape of the error curves band were analyzed. On this basis, the general boundary curve formula of that band was derived. Secondly, the visualizing error curves bands were realized through three exam- ples. Finally,area index has been examined by comparing numerical results from error curves band and error ellipes band.

A class of two-dimensional rational maps with self-excited and hidden attractors

This paper studies a new class of two-dimensional rational maps exhibiting self-excited and hidden attractors. The mathematical model of these maps is firstly formulated by introducing a rational term. The analysis of existence and stability of the fixed points in these maps suggests that there are four types of fixed points, i.e., no fixed point, one single fixed point, two fixed points and a line of fixed points. To investigate the complex dynamics of these rational maps with different types of fixed points, numerical analysis tools, such as time histories, phase portraits, basins of attraction, Lyapunov exponent spectrum, Lyapunov(Kaplan–Yorke) dimension and bifurcation diagrams, are employed. Our extensive numerical simulations identify both self-excited and hidden attractors, which were rarely reported in the literature. Therefore, the multi-stability of these maps, especially the hidden one, is further explored in the present work.

On some classes of two-dimensional local models in discrete two-dimensional monatomic FPU lattice with cubic and quartic potential

This paper discusses the two-dimensional discrete monatomic Fermi- Pasta-Ulam lattice, by using the method of multiple-scale and the quasi-discreteness approach. By taking into account the interaction between the atoms in the lattice and their nearest neighbours, it obtains some classes of two-dimensional local models as follows： two-dimensional bright and dark discrete soliton trains, two-dimensional bright and dark line discrete breathers, and two-dimensional bright and dark discrete breather.

Case study of performance assessment of overlapping shield tunnels with a small curve radius

Due to the network planning of subways and their surrounding structures,increasingly more overlapping shields with a small curve radius have been constructed.A newly constructed upper tunnel partly overlaps a lower one,leading to the extremely complex uplift of the lower tunnel caused by the construction of a new tunnel.Based on the shield-driven project that runs from the Qinghe Xiaoyingqiao Station to the Qinghe Station in Beijing,which adopts the reinforcement measures of interlayer soil grouting and steel supports on site,in this study,the uplift pattern of the lower tunnel and the stress characteristics of steel supports were investigated through numerical simulations and on-site monitoring.The study results show that among all tunnel segments,thefirst segment of the shield witnesses a maximum uplift displacement that increases with the horizontal space between tunnels.On using either interlayer soil grouting or steel-ring bracing reinforcement,the uplift of the tunnel lining exceeds the control value;by contrast,when these two measures are jointly applied,the uplift of the tunnel lining does not exceed a maximum value of 4.87 mm,which can satisfy the requirements of deformation control.Under these two joint measures,the soil strength between two stacked shield tunnels can be enhanced and the uplift deformation can be restricted with the interlayer soil grouting.Also,the segmental deformation and overall stability of the existing tunnel can be controlled with the temporary steel supports.The deformation of circumferential supports and segments is closely related to each other,and the segmental uplift is controlled by H-shaped steel supports.With the increase in the horizontal space between twin shields,the effect of the construction would gradually weaken,accompanied by a gradual reduction of the stresses of steel supports.Thesefindings provide a valuable reference for the engineering design and safe construction of overlapping shield tunnels with a small curve radius.K E Y W O R D Sfield monitoring,numerical simulation,overlapping shields,small curve radius,steel support stress,uplift of tunnel lining Highlights•A project of twin overlapping shield tunnels with a small curve radius is introduced.•Protective measures of soil grouting and H-shaped steel supports are proposed.•A 3D model in view of overcutting soils,grouting,and steel supports is established.•The performance of the overlapping shield tunnel with a small curve radius is evaluated.

关键参数对缓圆点波磨区段轮轨力的影响分析

以探究重载线路运行参数对车辆通过缓和曲线低轨侧波磨区轮轨力的影响规律为目的,基于Simpack多体动力学软件搭建了C80车辆-轨道耦合多体动力学模型,利用Matlab生成美国五级轨道随机不平顺,叠加缓圆点前钢轨波磨时域激励作为模型输入,仿真得到在缓圆点处不同波长、波深波磨状态下,缓和曲线长度、曲线半径、超高、行驶速度等关键参数对轮轨力的影响。通过分析一位轮对的轮轨力变化趋势和其最大增长率,发现波磨侧的轮轨力受波磨影响较大;无波磨一侧轮轨横向力受波磨的影响比垂向力大;曲线参数中,各指标最大增长率均随速度的增加而下降;除高轨侧轮轨横向力外,其余指标均随曲线半径的增大而减小;缓和曲线长度和超高的变化,对各指标最大增长率没有明显的降低作用,甚至随着运行参数的增加,指标最大增长率反而增加。

Copula理论下基于g-line失效域的边坡可靠性分析

针对边坡失效概率计算中功能函数难以确定、多重积分计算不便等问题,提出了Copula理论下基于g-line失效域的边坡可靠性分析方法。首先简要介绍了Copula理论,给出了基于Copula理论的边坡可靠性分析步骤,进而探讨了一般均质边坡的g-line曲线拟合形状及表征边坡失效域的抗剪强度参数范围,结果表明,二次多项式能很好拟合g-line曲线,内摩擦角和黏聚力可表征g-line曲线下的边坡失效域。以一均质边坡为例,通过在g-line失效域内积分,得出了3种Copula函数下边坡的失效概率,均与FORM及MCS法得出的结果比较接近,从而验证了Copula理论下基于g-line失效域的边坡可靠性分析方法的合理性。最后,讨论了不同Copula函数下失效概率计算结果的差异性随安全系数变化的特点,认为在低失效概率(高安全系数)时,可靠性分析结果对Copula函数类型比较敏感,应重视不同Copula函数类型引起的计算结果差异性及最优化问题的研究。

边坡可靠性分析中g-line失效域及Copula优度评价研究

针对岩土体抗剪强度参数联合分布模型中Copula优度评价问题,借助g-line给出了一种边坡失效域的抗剪强度参数表征方法,并利用积分途径得到了不同Copula及不同安全系数条件下算例边坡的失效概率,以此探讨了不同Copula计算结果的差异性,重点分析了S_n(p_c)、AIC、RMSE及Bias指标下各Copula的评价效果,并以上述各指标值为评价对象,分别计算了各Copula的熵权系数,从而给出了一种加权组合的Copula形式。结果表明,二次多项式拟合g-line的效果良好,此时边坡失效域可由抗剪强度参数独立表征;常用的评价指标得出的最优Copula结果不唯一,当不能有效地识别最优Copula时,可采用加权组合的Copula进行可靠性分析,能减小计算误差,有效地消除不同Copula引起的失效概率差异性,也能避免因直接采用某些Copula而引起的对边坡可靠度偏保守或者过高估计的问题。

成人脊柱畸形矫形术后早期躯体重心线(W-line)与近端交界区失败的相关性分析

目的:探讨成人脊柱畸形(adult spinal deformity,ASD)矫形术后早期躯体重心线(W-line)与近端交界区失败(proximal junctional failure,PJF)的相关性。方法:回顾性分析2014年6月~2019年3月在我院行手术治疗的99例ASD患者的临床资料,其中男19例,女80例。均行单纯后路长节段(固定椎体≥4个)固定融合手术,术后随访至少满2年。测量并记录所有患者术前、术后3个月及末次随访时的脊柱-骨盆参数。在脊柱全长侧位X线片上,将经外耳道口垂线定义为W-line,根据W-line不同位置分为A组、B组及C组。测量术后3个月时W-line到S1后上角水平距离(WSD)及W-line到股骨头中心连线中点的水平距离(WHD),将W-line位置进行数值转化(the numeric value of W-line,N-W-line):N-W-line=WHD/WSD。W-line位于参考点前方数值为正,反之为负。采用受试者工作特征(receiver operating characteristic,ROC)曲线分析得出N-W-line临界值。三组患者参数进行方差分析,应用Kaplan-Meier曲线分析非PJF生存时间。结果:ROC曲线分析得出术后3个月N-W-line临界值为±0.78[敏感度=75%,特异度=75.9%,曲线下面积(the area under the curve,AUC)=0.736,P=0.003]。A组32例,N-W-line>0.78;B组49例,-0.78≤N-W-line≤0.78;C组18例,N-W-line<-0.78。A组患者骨盆入射角(pelvic incidence,PI)最小(P<0.05),术后3个月矢状面平衡距(P<0.001)、T1骨盆角(P<0.001)及骨盆腰椎匹配度(P<0.001)均显著小于其他两组患者。但随访中,A、B及C组分别有12例、3例及1例患者出现PJF,A组患者PJF发生率显著高于其他两组(12/32 vs 3/49 vs 1/18,P<0.001)。此外,A组患者非PJF生存时间显著低于其他两组患者(P=0.005,Log-rank检验)。B、C组患者W-line位置逐渐前移,脊柱-骨盆矢状位参数逐渐增大,但术后PJF发生率显著降低。结论:ASD患者矫形术后早期W-line位置可有效预测PJF发生。矫形手术后W-line偏后或过度偏前,术后随访中PJF发生率显著增加,矫形术后躯干呈轻度前屈为最佳。

Analytical computation of support characteristic curve for circumferential yielding lining in tunnel design

Circumferential yielding lining is able to tolerate controlled displacements without failure,which has been proven to be an effective solution to large deformation problem in squeezing tunnels.However,up to now,there has not been a well-established design method for it.This paper aims to present a detailed analytical computation of support characteristic curve(SCC)for circumferential yielding lining,which is a significant aspect of the implementation of convergence-confinement method(CCM)in tunnel support design.Circumferential yielding lining consists of segmental shotcrete linings and highly deformable elements,and its superior performance mainly depends on the mechanical characteristic of highly deformable element.The deformation behavior of highly deformable element is firstly investigated.Its whole deforming process can be divided into three stages including elastic,yielding and compaction stages.Especially in the compaction stage of highly deformable element,a nonlinear stress-strain relationship can be observed.For mathematical convenience,the stress-strain curve in this period is processed as several linear sub-curves.Then,the reasons for closure of circumferential yielding lining in different stages are explained,and the corresponding accurate equations required for constructing the SCC are provided.Furthermore,this paper carries out two case studies illustrating the application of all equations needed to construct the SCC for circumferential yielding lining,where the reliability and feasibility of theoretical derivation are also well verified.Finally,this paper discusses the sensitivity of sub-division in element compaction stage and the influence of element length on SCC.The outcome of this paper could be used in the design of proper circumferential yielding lining.