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Numerical Analysis of a Sliding frictional contact problem with Normal Compliance and Unilateral Contact 具有正常柔度和单边接触的滑动摩擦接触问题的数值分析
Pub Date : 2020-05-21 DOI: 10.21203/rs.3.rs-29447/v1
Yahyeh Souleiman, M. Barboteu
This paper represents a continuation of [15] and [18]. Here, we consider the numerical analysis of a non trivial frictional contact problen in a form of a system of evolution nonlinear partial differential equations. The model describes the equilibrium of a viscoelastic body in sliding contact with a moving foundation. The contact is modeled with a multivalued normal compliance condition with memory term restricted by a unilateral constraint, and is associated to a sliding version of Coulomb's law of dry friction. After a description of the model and some assumptions, we derive a variational formulation of the problem, which consists of a system coupling a variational inequality for the displacement field and a nonlinear equation for the stress field. Then, we introduce a fully discrete scheme for the numerical approximation of the sliding contact problem. Under certain solution regularity assumptions, we derive an optimal order error estimate and we provide numerical validation of this result by considering some numerical simulations in the study of a two-dimensional problem.
本文是[15]和[18]的延续。在这里,我们考虑一个非线性偏微分方程组形式的非平凡摩擦接触问题的数值分析。该模型描述了粘弹性体与运动地基滑动接触时的平衡。接触采用多值法向柔度条件建模,记忆项受单侧约束,并与干摩擦库仑定律的滑动版本相关联。在描述了模型和一些假设之后,我们导出了问题的变分公式,它由一个耦合位移场的变分不等式和应力场的非线性方程的系统组成。然后,我们引入了一个完全离散的格式来数值逼近滑动接触问题。在一定的解正则性假设下,我们导出了一个最优阶误差估计,并通过考虑二维问题研究中的一些数值模拟,对这一结果进行了数值验证。
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引用次数: 1
Hydrodynamic Model for Operational Forecasting in Coastal Waters of Ghana 加纳沿海水域业务预报的水动力模型
Pub Date : 2020-02-18 DOI: 10.4236/ojmsi.2020.82004
F. Uba, E. O. Essandoh, E. Nyantakyi, Prosper Anumah
The provision of economic resources to countries at the shore of Gulf of Guinea is a very important effort that has helped West Africa to develop to some extent. Taking the study area as a system it will be important to know the dynamics that occur in it to help neighouring countries predict its physical and thermodynamics states at all times. Ghana is located in West Africa and it is bordered in the south by the Gulf of Guinea or Atlantic Ocean. The objective of this research is to characterize the hydrodynamic circulation of the Gulf of Guinea areas neighouring Ghana. A 3-Dimensional hydrodynamic model was implemented in the territorial waters of Ghana using the Modelo Hidrodinamico, MOHID model to represent the dynamics and study the complex circulation pattern of the sea. To achieve this in an affordable computational time, nested domain approach was used to implement the hydrodynamic model in both 2 and 3-Dimensional gridded levels. The first level is a barotropic model with only tide. The nested domains of the rest of the levels are baroclinic forced with atmospheric and oceanic elements. To quantify its accuracy, the model was validated and calibrated in three stages; first, the frequency of the water level, followed by the circulation pattern and last, analysing the nature and profiles of the atmospheric and oceanic elements. The implemented model showed good agreement with the measured water surface level in the domain with mean error values not exceeding 14.00% of the measured data and with correlation factors higher than 0.80. Also, the intensity and direction of velocity observed in the current data are well represented by the model at the water surface levels with mean errors lower than 20.00% of the measured data components. The profiles obtained for both the temperature and salinity at shore show completely a straight line for salinity and also a straight line which is slightly curved at the top for the temperature profile. The vertical straight line for the salinity profile shows that at the shore the waters are not stratified vertically or they are well mixed. The slight curve at the top of the temperature graph accounts for the mixing dynamics that occur close to land or the effect of heat flux at the surface. It can be concluded that the hydrodynamic model obtained by this study is the true reflection of the territorial waters of Ghana.
向几内亚湾沿岸国家提供经济资源是一项非常重要的努力,在某种程度上帮助了西非的发展。将研究区域作为一个系统,了解其中发生的动力学对于帮助邻国随时预测其物理和热力学状态至关重要。加纳位于西非,南部与几内亚湾或大西洋接壤。本研究的目的是描述加纳附近几内亚湾地区的水动力环流。使用Modelo Hidrodinamico,MOHID模型在加纳领海实施了三维流体动力学模型,以表示动力学并研究复杂的海洋环流模式。为了在负担得起的计算时间内实现这一点,使用嵌套域方法在二维和三维网格级别上实现流体动力学模型。第一个层次是只有潮汐的正压模式。其余级别的嵌套域是大气和海洋元素的斜压强迫。为了量化其准确性,该模型分三个阶段进行了验证和校准;首先是水位的频率,然后是环流模式,最后分析了大气和海洋元素的性质和剖面。所实现的模型与该领域的测量水面高度一致,平均误差值不超过测量数据的14.00%,相关系数高于0.80。此外,在当前数据中观察到的速度的强度和方向由水面水平的模型很好地表示,平均误差低于测量数据分量的20.00%。获得的海岸温度和盐度剖面完全显示了盐度的直线,温度剖面顶部也显示了略微弯曲的直线。盐度剖面的垂直直线表明,在海岸,海水没有垂直分层,或者它们混合得很好。温度图顶部的轻微曲线说明了在陆地附近发生的混合动力学或表面热通量的影响。可以得出结论,本研究获得的水动力模型是加纳领海的真实反映。
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引用次数: 0
Modeling of Adhesive Particles Using a Combination of the Two-Body Interaction and Phase-Field Methods 结合两体相互作用和相场方法的粘着粒子建模
Pub Date : 2020-02-18 DOI: 10.4236/ojmsi.2020.82003
T. Uehara
Discrete materials such as powders and granular materials have been widely used due to their specific characteristics. The precise evaluation is accordingly becoming important, and various numerical schemes have been developed. However, the interactions among the constituent particles are still difficult to model precisely. Especially, contact conditions, which vary with material properties and circumstances, are difficult to formulate. In this study, a computational model for simulating adhesive particles on contact in a many-particle system is proposed. The interaction between the particles was represented by a two-body repulsive force that depends on the distance between particles and an additional adhesive force at the contact point. A phase-field variable was introduced to express the surface of each particle, and the adhesive force was formulated using the phase-field distribution. As a result, the adhesion of particles was properly expressed. For a mono-particle system, neighboring particles adhered and uniformly aggregated, while for a dual-particle system, several characteristic patterns were obtained depending on the initial arrangement of the particles. Repulsive contact was also considered as a specific case, and the corresponding results were obtained.
离散材料,如粉末和颗粒材料由于其特殊的特性而得到了广泛的应用。因此,精确的计算变得越来越重要,并开发了各种数值格式。然而,组成粒子之间的相互作用仍然难以精确建模。特别是,接触条件,随着材料性能和环境的变化,很难制定。本文提出了一种模拟多粒子系统中粘着粒子接触的计算模型。粒子之间的相互作用由两体斥力表示,斥力取决于粒子之间的距离和接触点处的附加附着力。引入相场变量来表示每个颗粒的表面,并利用相场分布来表示粘附力。因此,颗粒的粘附性得到了适当的表达。对于单粒子系统,相邻的粒子粘附并均匀聚集,而对于双粒子系统,根据粒子的初始排列可以获得不同的特征模式。并以排斥接触为例,得到了相应的结果。
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引用次数: 1
The Study of Microchannel Plate Gain Using SIMION 基于SIMION的微通道板增益研究
Pub Date : 2019-12-13 DOI: 10.4236/ojmsi.2020.81001
Yifan Zhao
Microchannel plates (MCP) are widely used for particle detection. The gain of chevron MCPs is related to geometrical parameters, but no study has been done through SIMION simulation. The purpose of this study is to model a chevron MCP and its secondary emission process using SIMION and determine the relationship between microchannel plate gain, voltage, channel bias angle, and diameter. Two geometry files simulated MCP electric field and shape, and a Lua program simulated secondary emission. Simulation results showed that MCP gain is proportional to voltage, angles between 5 and 15 degrees maximize gain, and gain is inversely proportional to the diameter. This study accurately simulates a chevron MCP and yields the relationship between gain, voltage, channel bias angle, and diameter. Further studies are needed to simulate electron trajectories for improved precision.
微通道板(MCP)广泛用于颗粒检测。chevron MCPs的增益与几何参数有关,但尚未通过SIMION仿真进行研究。本研究的目的是利用SIMION对一个v形MCP及其二次发射过程进行建模,并确定微通道板增益、电压、通道偏置角和直径之间的关系。两个几何文件模拟了MCP电场和形状,Lua程序模拟了二次发射。仿真结果表明,MCP增益与电压成正比,5 ~ 15度角之间增益最大,增益与直径成反比。本研究精确地模拟了一个v形MCP,并得出增益、电压、通道偏置角和直径之间的关系。需要进一步的研究来模拟电子轨迹以提高精度。
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引用次数: 1
Markov Chain Monte Carlo Solution of Laplace’s Equation in Axisymmetric Homogeneous Domain 轴对称齐次域拉普拉斯方程的马尔可夫链蒙特卡罗解
Pub Date : 2019-10-25 DOI: 10.4236/ojmsi.2019.74012
Adebowale E. Shadare, M. Sadiku, S. Musa
With increasing complexity of today’s electromagnetic problems, the need and opportunity to reduce domain sizes, memory requirement, computational time and possibility of errors abound for symmetric domains. With several competing computational methods in recent times, methods with little or no iterations are generally preferred as they tend to consume less computer memory resources and time. This paper presents the application of simple and efficient Markov Chain Monte Carlo (MCMC) method to the Laplace’s equation in axisymmetric homogeneous domains. Two cases of axisymmetric homogeneous problems are considered. Simulation results for analytical, finite difference and MCMC solutions are reported. The results obtained from the MCMC method agree with analytical and finite difference solutions. However, the MCMC method has the advantage that its implementation is simple and fast.
随着当今电磁问题的日益复杂,减少对称域尺寸、内存需求、计算时间和错误可能性的需求和机会也越来越多。在最近几种相互竞争的计算方法中,很少或没有迭代的方法通常是首选的,因为它们往往消耗较少的计算机内存资源和时间。本文介绍了简单有效的马尔可夫链蒙特卡罗(MCMC)方法在轴对称齐次域拉普拉斯方程求解中的应用。考虑了轴对称齐次问题的两种情况。给出了解析解、有限差分解和MCMC解的仿真结果。MCMC方法得到的结果与解析解和有限差分解一致。然而,MCMC方法具有实现简单、快速的优点。
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引用次数: 1
Global-Local Finite Element Analysis for Predicting Separation in Cord-Rubber Composites of Radial Truck Tires 预测载重子午线轮胎帘线橡胶复合材料分离的全局局部有限元分析
Pub Date : 2019-10-22 DOI: 10.4236/ojmsi.2019.74011
K. Jeong, Kee-Woon Kim, J. Kim
A global-local finite element modeling technique is employed in this paper to predict the separation in steel cord-rubber composite materials of radial truck tires. The local model uses a finite element analysis in conjunction with a glob-al-local technique in ABAQUS. A 3-dimensional finite element local model calculates the maximum cyclic shear strain of an interface between steel cord and rubber materials at the carcass ply shoulder region. It is found that the maximum cyclic shear strain is reliable as a result of the analysis of carcass ply separation in radial truck tires. Using the analysis of the local model, a study of the cyclic shear strain is performed in the shoulder region and used to deter-mine the carcass ply separation. The effect of the change of carcass ply design on the separation in steel cord-rubber composite materials of radial truck tires is discussed.
本文采用全局-局部有限元建模技术对载重子午线轮胎钢丝帘线-橡胶复合材料的分离进行了预测。局部模型采用有限元分析和ABAQUS中的全局局部技术相结合的方法。采用三维有限元局部模型计算了钢丝索与橡胶材料界面在胎体层肩区域的最大循环剪切应变。通过对载重子午线轮胎胎体层分离的分析,发现最大循环剪切应变是可靠的。通过局部模型分析,研究了肩部区域的循环剪切应变,并用于确定胴体层距。讨论了胎体厚度设计变化对载重子午线轮胎钢丝帘线-橡胶复合材料分离的影响。
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引用次数: 4
Survival Analysis of Factor Affects Survival Time of Hypertension Patients 影响高血压患者生存时间的因素分析
Pub Date : 2019-10-08 DOI: 10.4236/ojmsi.2019.74010
Abtsega Samuel Ayalew, Markos Abiso Erango, K. Gergiso
Hypertension is a major long-term health condition and a leading modifiable risk factor for cardiovascular disease and death. The aim of this study was to examine major factors that affect survival time of hypertension patients under follow-up. We considered a total of 430 random samples of hypertension patients who had been under follow up at Yekatit-12 Hospital in Ethiopia from January 2013 to January 2019. Four parametric accelerated failure time distributions: Exponential, Weibull, Lognormal and loglogistic are used to analyse survival probabilities of the patients. The Kaplan-Meierestimation method and log-rank tests were used to compare the survival experience of patients with respect to different covariates. The Weibull model is selected to best fit to the data sets. The results indicate that the baseline age of the patient, place of residence, family history of hypertension, khat intake, blood cholesterol level of the patient, hypertension disease stage, adherence to the treatment and related disease were significantly associated with survival time of hypertension patients. But factor like gender, tobacco use, alcohol use, diabetes mellitus status and fasting blood sugar were not significantly associated factors. Society and all stakeholders should be aware of the consequences of these factors which can influence the survival time of hypertension patients.
高血压是一种主要的长期健康状况,也是心血管疾病和死亡的主要可变风险因素。本研究的目的是检查影响随访中高血压患者生存时间的主要因素。我们考虑了2013年1月至2019年1月在埃塞俄比亚Yekatit-12医院接受随访的430名高血压患者的随机样本。采用指数、威布尔、对数正态和对数逻辑四种参数加速失效时间分布来分析患者的生存概率。Kaplan-Meiereestimation方法和对数秩检验用于比较不同协变量患者的生存经验。威布尔模型被选择为最适合数据集。结果表明,患者的基线年龄、居住地、高血压家族史、卡塔叶摄入量、患者血胆固醇水平、高血压疾病分期、坚持治疗及相关疾病与高血压患者的生存时间显著相关。但性别、吸烟、饮酒、糖尿病和空腹血糖等因素并不是显著相关因素。社会和所有利益相关者都应该意识到这些因素的后果,这些因素会影响高血压患者的生存时间。
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引用次数: 3
Optimal Threshold Determination for the Maximum Product of Spacing Methodology with Ties for Extreme Events 极端事件带联系的间隔法最大乘积的最优阈值确定
Pub Date : 2019-06-04 DOI: 10.4236/OJMSI.2019.73008
P. Murage, J. Mung'atu, E. Odero
Extreme events are defined as values of the event below or above a certain value called threshold. A well chosen threshold helps to identify the extreme levels. Several methods have been used to determine threshold so as to analyze and model extreme events. One of the most successful methods is the maximum product of spacing (MPS). However, there is a problem encountered while modeling data through this method in that the method breaks down when there is a tie in the exceedances. This study offers a solution to model data even if it contains ties. To do so, an optimal threshold that gives more optimal parameters for extreme events, was determined. The study achieved its main objective by deriving a method that improved MPS method for determining an optimal threshold for extreme values in a data set containing ties, estimated the Generalized Pareto Distribution (GPD) parameters for the optimal threshold derived and compared these GPD parameters with GPD parameters determined through the standard MPS model. The study improved maximum product of spacing method and used Generalized Pareto Distribution (GPD) and Peak over threshold (POT) methods as the basis of identifying extreme values. This study will help the statisticians in different sectors of our economy to model extreme events involving ties. To statisticians, the structure of the extreme levels which exist in the tails of the ordinary distributions is very important in analyzing, predicting and forecasting the likelihood of an occurrence of the extreme event.
极端事件被定义为低于或高于某一阈值的事件值。精心选择的阈值有助于识别极端水平。已经使用了几种方法来确定阈值,以便对极端事件进行分析和建模。最成功的方法之一是间距的最大乘积(MPS)。然而,在通过该方法对数据建模时遇到了一个问题,即当超出值相等时,该方法会崩溃。这项研究为模型数据提供了一个解决方案,即使其中包含关联。为此,确定了一个最佳阈值,为极端事件提供更多最佳参数。该研究通过推导一种方法实现了其主要目标,该方法改进了MPS方法,用于确定包含关系的数据集中极值的最佳阈值,估计了推导出的最佳阈值的广义帕累托分布(GPD)参数,并将这些GPD参数与通过标准MPS模型确定的GPD参数进行了比较。该研究改进了间距最大乘积法,并使用广义帕累托分布(GPD)和峰值过阈值(POT)方法作为识别极值的基础。这项研究将帮助我们经济不同部门的统计学家对涉及关系的极端事件进行建模。对于统计学家来说,存在于正态分布尾部的极端水平结构在分析、预测和预测极端事件发生的可能性方面非常重要。
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引用次数: 4
Analysis of the Effect of Supplying Vessel on Wave Drift Force of Semi-Submersible Platform 补给船对半潜式平台波浪漂移力的影响分析
Pub Date : 2019-06-03 DOI: 10.4236/OJMSI.2019.73009
Chi Zhang, Baojie Zhang
Wave drift force is the key factor affecting the mooring ability of semi-submersible platform. Aiming at the mooring system composed of replenishment ship and semi-submersible platform, the influence of hydrodynamic interference on semi-submersible platform is analyzed. Based on the three-dimensional potential flow theory and AQWA software, the effects of different wave directions and spacing on the wave drift force of semi-submersible platform are considered. The results show that the hydrodynamic interference of the replenishment ship will affect the wave drift force of the semi-submersible platform, and the influence of the distance between adjacent vessels and the wave direction angle is more sensitive in the middle and high wave frequencies. This paper can provide support for the research of hydrodynamic interference of semi-submersible platform.
波浪漂移力是影响半潜式平台系泊能力的关键因素。针对由补给船和半潜式平台组成的系泊系统,分析了水动力干扰对半潜式平台的影响。基于三维势流理论和AQWA软件,研究了不同波浪方向和波浪间距对半潜式平台波浪漂移力的影响。结果表明:补给船的水动力干扰会影响半潜式平台的漂波力,且在中高波频处相邻船距和波浪方向角的影响更为敏感;本文可为半潜式平台的水动力干扰研究提供支持。
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引用次数: 0
Simulating the Health Impact of Particulate Emissions from Transport Fuels Using Multipath Particle Deposition Model (MPPD) 利用多路径粒子沉积模型(MPPD)模拟交通燃料排放颗粒物对健康的影响
Pub Date : 2019-04-25 DOI: 10.4236/OJMSI.2019.72006
Bornes C. Mosonik, J. Kibet, S. Ngari
Transport fuels emit particulates of varying chemical nature and size. These particulates are known to cause respiratory problems of medical concern. The need to simulate the breathing characteristics of particulates generated from combustion events is very important in estimating the respiratory clearance of these particles. Consequently, this study examines the nature of particulate matter from the pyrolysis of a mixture Croton megalocarpus biodiesel and fossil diesel, and pure biodiesel. The study was explored at an optimum temperature of 600°C in an inert nitrogen environment at a contact time of 2 sec. Scanning electron microscope was used to examine the surface of the particulates. Multiple-Path Particulate Dosage (MPPD Ver. 3.04) model was used to determine the breathing phenomena of infants, teenagers and adults at different orientations. Co-pyrolytic Char particulates and pyrolytic croton thermal char were classified as ultrafine, PM0.03 and PM0.02 respectively. The MPPD model results indicated that ultrafine particles tend to be deposited in pulmonary regions more than head and trachea regions, due to high probability of diffusibiliy of ultrafine particles. It was noted that 8 years old exhibits a unique trend with high total deposition and poor respiratory clearance when compared to an adult of 21 years old.
运输燃料排放出不同化学性质和大小的微粒。已知这些微粒会引起医学关注的呼吸问题。模拟燃烧产生的颗粒的呼吸特性对于估计这些颗粒的呼吸清除率非常重要。因此,本研究考察了混合巴罗豆科生物柴油和化石柴油以及纯生物柴油热解产生的颗粒物质的性质。在惰性氮环境下,在600°C的最佳温度下进行研究,接触时间为2秒。使用扫描电子显微镜对颗粒表面进行检查。采用多路径颗粒物剂量(MPPD Ver. 3.04)模型对婴儿、青少年和成人在不同方位的呼吸现象进行了研究。共热解炭颗粒和热解巴豆热炭颗粒分别被分类为超细颗粒、PM0.03和PM0.02。MPPD模型结果表明,由于超细颗粒的高扩散概率,超细颗粒更倾向于沉积在肺区而不是头部和气管区。值得注意的是,与21岁的成年人相比,8岁儿童表现出高总沉积和低呼吸清除率的独特趋势。
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引用次数: 1
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建模与仿真(英文)
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