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Influence of Self-steepening and Higher Dispersion Effects on the Propagation Characteristics of Solitons in Optical Fibers 光纤中自陡增和高色散效应对孤子传播特性的影响
Pub Date : 2016-12-31 DOI: 10.12921/CMST.2016.0000063
D. T. Thuy, N. T. Vinh, B. D. Thuan, C. L. Van
In this paper we consider the influence of higher-order nonlinear effects like third-order dispersion, self-steepening effect on the propagation characteristics of solitons. By solving the higher-order nonlinear Schrödinger equation we show that the self-steepening effect can lead to the breakup of higher-order solitons through the phenomenon of soliton fission. This effect plays an essential role in several nonlinear phenomena, in particular in the so-called supercontinuum generation in optical fibers. Moreover, we can use third order dispersion to compress pulses as well as changing the frequency.
本文考虑了高阶非线性效应如三阶色散、自陡化效应对孤子传播特性的影响。通过求解高阶非线性Schrödinger方程,我们证明了自陡变效应可以通过孤子裂变现象导致高阶孤子的分裂。这种效应在一些非线性现象中起着至关重要的作用,特别是在光纤中所谓的超连续谱产生中。此外,我们可以利用三阶色散来压缩脉冲以及改变频率。
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引用次数: 1
On effective Young’s modulus and Poisson’s ratio of the auxetic thermoelastic material 缺热弹性材料的有效杨氏模量和泊松比
Pub Date : 2016-12-31 DOI: 10.12921/CMST.2016.0000050
B. Maruszewski, A. Drzewiecki, R. Starosta
The paper deals with an influence of the excitation frequency and the dimensions of a free supported thermoelastic plate on the effective Poisson’s ratio and the effective Young’s modulus. Both of these parameters are not, in such a situation, the elastic material constants. The considered thermoelastic problem has been modelled within the extended thermodynamical model. Therefore, the above effective elastic coefficients are also dependent on the thermal relaxation time. The numerical analysis of those coefficients vs. excitation frequency both for normal and auxetic plates have been presented.
本文讨论了自由支承热弹性板的激励频率和尺寸对有效泊松比和有效杨氏模量的影响。在这种情况下,这两个参数都不是弹性材料常数。所考虑的热弹性问题已在扩展的热力学模型内进行了模拟。因此,上述有效弹性系数也依赖于热松弛时间。对正常板和辅助板的这些系数随激励频率的变化进行了数值分析。
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引用次数: 3
Limitations of Applicability of the Green-Kubo Approach for Calculating the Thermal Conductivity of a Confined Liquid in Computer Simulations 格林-久保方法在计算机模拟中计算受限液体导热系数的适用性的局限性
Pub Date : 2016-12-31 DOI: 10.12921/CMST.2016.0000054
Krzysztof Hyżorek, K. V. Tretiakov
Thermal conductivity (λ) of the Lennard-Jones liquid in cylindrical nanochannels has been determined using the Green-Kubo (GK) approach in equilibrium Molecular Dynamics simulations. Good convergence of λ(τ) has been observed along the nanochannel’s axis where the periodic boundary conditions are applied. However, it has been found that the estimation of limiting value of λ(τ) in the transverse direction, where walls confine the liquid, is ambiguous.
利用平衡分子动力学模拟中的Green-Kubo (GK)方法确定了圆柱形纳米通道中Lennard-Jones液体的热导率(λ)。在应用周期边界条件的纳米通道轴线上观察到λ(τ)的良好收敛。然而,已经发现,λ(τ)在横向上的极限值的估计,其中壁限制液体,是模糊的。
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引用次数: 1
Visualisation of Relational Database Structure by Graph Database 利用图数据库实现关系数据库结构的可视化
Pub Date : 2016-12-31 DOI: 10.12921/CMST.2016.0000014
P. Idziaszek, W. Mueller, J. Rudowicz-Nawrocka, M. Gruszczynski, S. Kujawa, K. Górna, K. Balcerzak
Most IT systems rely on dedicated databases, and most of these databases are relational. The advantages of such databases are well known and widely reported in literature. Unfortunately, attempts to identify the topology of links in the relational model produced by iterative development or administrative enhancements are often hampered by the large number of tables that make up the database and the lack of comprehensive technical documentation. Analysis of the model by someone other than its designer requires substantial effort. The aim of the presented work is therefore to develop an application for effective presentation of the database structure in the form of a directed graph. The main assumption was that a graph-oriented database environment would be used. This paper presents the RELATIONS-Graph application developed by the authors. This application automatically generates a directed graph which presents links between tables and attributes which constitute a relational database. The RELATIONS-Graph application can also scan the generated graph in order to discover links between selected tables and columns. This solution has been applied to SQL Server 2014 SP1 DBMS using the Microsoft .NET technology and the Neo4j graph database, also by .NET API. The RELATIONS-Graph application was developed in C#, an object-oriented programming language.
大多数IT系统依赖于专用数据库,其中大多数数据库是关系数据库。这种数据库的优点是众所周知的,并在文献中广泛报道。不幸的是,在由迭代开发或管理增强所产生的关系模型中识别链接拓扑的尝试常常受到组成数据库的大量表和缺乏全面的技术文档的阻碍。由设计者以外的其他人对模型进行分析需要大量的工作。因此,所提出的工作的目的是开发一个应用程序,以有向图的形式有效地表示数据库结构。主要假设是使用面向图形的数据库环境。本文介绍了作者开发的relationships - graph应用程序。这个应用程序自动生成一个有向图,它表示构成关系数据库的表和属性之间的链接。relationships - graph应用程序还可以扫描生成的图,以便发现所选表和列之间的链接。该方案采用Microsoft . net技术和Neo4j图形数据库,采用。net API,应用于SQL Server 2014 SP1 DBMS。RELATIONS-Graph应用程序是用c#开发的,c#是一种面向对象的编程语言。
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引用次数: 3
Finite Element Method for Stochastic Extended KdV Equations 随机扩展KdV方程的有限元方法
Pub Date : 2016-04-14 DOI: 10.12921/cmst.2016.22.01.002
A. Karczewska, Maciej Szczeciński, P. Rozmej, Bartosz Boguniewicz
The finite element method is applied to obtain numerical solutions to the recently derived nonlinear equation for shallow water wave problem for several cases of bottom shapes. Results for time evolution of KdV solitons and cnoidal waves under stochastic forces are presented. Though small effects originating from second order dynamics may be obscured by stochastic forces, the main waves, both cnoidal and solitary ones, remain very robust against any distortions.
采用有限元法对最近导出的几种底型浅水波浪问题非线性方程进行了数值求解。给出了随机力作用下KdV孤子和余弦波的时间演化结果。虽然源自二阶动力学的小影响可能会被随机力所掩盖,但主波,无论是椭圆和孤立波,对任何扭曲都保持非常强劲。
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引用次数: 4
Statistical Fluctuations along the Lennard-Jones Melting Curve 伦纳德-琼斯熔化曲线上的统计波动
Pub Date : 2016-01-06 DOI: 10.12921/CMST.2016.22.01.001
R. Patra, D. Heyes
Article published in Computational Methods in Science and Technology available at http://dx.doi.org/10.12921%2Fcmst.2016.22.01.001
文章发表在科学与技术计算方法上,可在http://dx.doi.org/10.12921%2Fcmst.2016.22.01.001上获得
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引用次数: 0
Computational Model For Chromatographic Relative Retention Time of Polychlorinated Biphenyls Using Sub-structural Molecular Fragments 基于亚结构分子片段的多氯联苯色谱相对保留时间计算模型
Pub Date : 2016-01-01 DOI: 10.12921/CMST.2016.22.01.004
S. Saaidpour
Quantitative structure-retention relationship (QSRR) analysis is a useful technique capable of relating chromato- graphic retention time to the chemical structure of a solute. Using the sub-structural molecular fragments (SMF) derived directly from the molecular structures, the gas chromatographic relative retention times (RRTs) of 209 polychlorinated biphenyls (PCBs) on the SE-54 stationary phase were calculated. An eight-variable regression equation with the correlation coefficient of 0.9945 and the root mean square errors of 0.0134 was developed. Forward and backward stepwise regression variable selection and multi-linear regression analysis (MLRA) are combined to describe the effect of molecular structure on the RRT of PCB according to the QSRR method. To quantitatively relate RRT with the molecular structure MLR analysis is performed on the set of 163 sub-structural molecular fragments (SMF) provided by the ISIDA software. The eight fragments selected by variable subset selection, all belonging to the sub-fragments, adequately represent the structural factors influencing the affinity of PCB to SE-54 stationary phase in the separation process. Finally, a QSRR model is selected based on leave-one-out cross-validation and its prediction ability is further tested on 42 representative compounds excluded from model calibration. The prediction results from the MLR model are in good agreement with the experimental values. By applying the MLR method we can predict the test set with squared cross validated correlation coefficient (Q 2) of 0.9913 and root mean square error (RMSE) of 0.0169.
定量结构-保留关系(QSRR)分析是一种将色谱保留时间与溶质的化学结构联系起来的有用技术。利用直接由分子结构得到的亚结构分子片段(SMF),计算了209种多氯联苯(pcb)在SE-54固定相上的气相色谱相对保留时间(RRTs)。建立了8变量回归方程,相关系数为0.9945,均方根误差为0.0134。根据QSRR方法,将前向和后向逐步回归变量选择和多元线性回归分析(MLRA)相结合来描述分子结构对PCB板RRT的影响。为了定量地将RRT与分子结构联系起来,对ISIDA软件提供的163个亚结构分子片段(SMF)进行MLR分析。变量亚区选择选择的8个片段均属于亚片段,充分代表了分离过程中影响PCB对SE-54固定相亲和力的结构因素。最后,基于留一交叉验证选择了QSRR模型,并对42个排除在模型校准之外的代表性化合物进行了预测能力测试。MLR模型的预测结果与实验值吻合较好。应用MLR方法预测检验集的平方交叉验证相关系数(q2)为0.9913,均方根误差(RMSE)为0.0169。
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引用次数: 2
Response of Thermoelastic Beam due to Thermal Source in Modified Couple Stress Theory 修正耦合应力理论中热弹性梁对热源的响应
Pub Date : 2016-01-01 DOI: 10.12921/CMST.2016.22.02.004
Rajneesh Kumar
The present investigation deals with the problem of thermoelastic beam in the modified couple stress theory due to thermal source. The governing equations of motion for the modified couple stress theory and heat conduction equation for coupled thermoelasticity are investigated to model the vibrations in a homogeneous isotropic thin beam in a closed form by applying the Euler Bernoulli beam theory. The Laplace transform technique is used to solve the problem. The lateral deflection, thermal moment, axial stress average due to normal heat flux in the beam are derived and computed numerically. The resulting quantities are depicted graphically for a specific model. A particular case is also introduced.
本文研究了基于热源的修正耦合应力理论中的热弹性梁问题。应用欧拉-伯努利梁理论,研究了修正耦合应力理论的运动控制方程和耦合热弹性的热传导方程,以封闭形式模拟均匀各向同性薄梁的振动。利用拉普拉斯变换技术来解决这个问题。推导并计算了梁内正常热流引起的横向挠度、热矩、轴向平均应力。对于特定的模型,结果量用图形表示。并介绍了一个具体的案例。
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引用次数: 28
Effect of Two Temperatures and Thermal Phase-lags in a Thick Plate due to a Ring Load with Axisymmetric Heat Supply 轴对称热源环载对厚板两种温度和热相位滞后的影响
Pub Date : 2016-01-01 DOI: 10.12921/CMST.2016.0000005
J. Kumar, N. Sharma, P. Lata
The present investigation concerns thermomechanical interactions in a homogeneous isotropic thick plate in the light of the two-temperature thermoelasticity theory with dual phase lag due to a ring load. The upper and lower ends of the thick plate are traction free and subjected to an axisymmetric heat supply. The solution is obtained by using Laplace and Hankel transform techniques. The analytical expressions of displacement components, stresses, conductive temperature, temperature change and cubic dilatation are computed in a transformed domain. The numerical inversion technique has been applied to obtain the results in the physical domain. Numerically simulated results are depicted graphically. The effect of thermal phase-lags and two temperatures are shown on the various components. Some particular cases of the result are also deduced from the present investigation.
本文根据环载荷双相滞后的双温热弹性理论,研究了均匀各向同性厚板的热力学相互作用。厚板的上端和下端不受牵引,并受到轴对称的供热。利用拉普拉斯变换和汉克尔变换技术得到了解。在变换域内计算了位移分量、应力、导电温度、温度变化和立方膨胀的解析表达式。数值反演技术在物理领域得到了结果。数值模拟结果用图形表示。研究了热相滞后和两种温度对各组分的影响。从本研究中还推导出了结果的一些特殊情况。
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引用次数: 4
Ian Snook Prizes 2015 2015年伊恩·斯努克大奖
Pub Date : 2016-01-01 DOI: 10.12921/CMST.2016.22.02.I01
W. Hoover, C. G. Hoover, M. Stroiński, J. Weglarz, K. Wojciechowski
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引用次数: 0
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computational methods in science and technology
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