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Influence of the Moment in Mathematical Models for Open Systems 矩对开放系统数学模型的影响
Q3 Engineering Pub Date : 2021-12-16 DOI: 10.37394/232011.2021.16.28
E. Prozorova
Article is proposed, built taking into account the influence of the angular momentum (force) in mathematical models of open mechanics. The speeds of various processes at the time of writing the equations were relatively small compared to modern ones. Theories have generally been developed for closed systems. As a result, in continuum mechanics, the theory developed for potential flows was expanded on flows with significant gradients of physical parameters without taking into account the combined action of force and moment. The paper substantiates the vector definition of pressure and the no symmetry of the stress tensor based on consideration of potential flows and on the basis of kinetic theory. It is proved that for structureless particles the symmetry condition for the stress tensor is one of the possible conditions for closing the system of equations. The influence of the moment is also traced in the formation of fluctuations in a liquid and in a plasma in the study of Brownian motion, Landau damping, and in the formation of nanostructures. The nature of some effects in nanostructures is discussed. The action of the moment leads to three-dimensional effects even for initially flat structures. It is confirmed that the action of the moment of force is the main source of the collective effects observed in nature. Examples of solving problems of the theory of elasticity are given.
在开放力学的数学模型中,考虑了角动量(力)的影响,提出并建立了这篇文章。与现代方程相比,编写方程时各种过程的速度相对较小。理论通常是为封闭系统发展起来的。因此,在连续体力学中,为势流开发的理论被扩展到物理参数具有显著梯度的流上,而没有考虑力和力矩的联合作用。本文在考虑势流的基础上,以动力学理论为基础,证明了压力的矢量定义和应力张量的非对称性。证明了对于无结构粒子,应力张量的对称性条件是闭合方程组的可能条件之一。在布朗运动、朗道阻尼和纳米结构形成的研究中,力矩的影响也可以追溯到液体和等离子体中波动的形成。讨论了纳米结构中某些效应的性质。力矩的作用导致三维效果,即使对于最初的平面结构也是如此。已经证实,力矩的作用是自然界中观察到的集体效应的主要来源。给出了求解弹性理论问题的实例。
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引用次数: 1
An Elastic Half Space with a Moving Punch 具有移动冲头的弹性半空间
Q3 Engineering Pub Date : 2021-11-22 DOI: 10.37394/232011.2021.16.27
S. Saha, Vikash Kumar, Apurba Narayan Das
The dynamic problem of a punch with rounded tips moving in an elastic half-space in a fixed direction has been considered. The static problem of determining stress component under the contact region of a punch has also been solved. Fourier integral transform has been employed to reduce the problems in solving dual integral equations. These integral equations have been solved using Cooke’s [1] result (1970) to obtain the stress component. Finally, exact expressions for stress components under the punch and the normal displacement component in the region outside the punch have been derived. Numerical results for stress intensity factor at the punch end and torque applied over the contact region have been presented in the form of graph.
研究了带圆角凸模在弹性半空间中沿固定方向运动的动力学问题。还解决了确定冲头接触区下应力分量的静态问题。傅立叶积分变换已被用来减少求解对偶积分方程的问题。这些积分方程已经使用Cooke[1]的结果(1970)求解,以获得应力分量。最后,导出了凸模下应力分量和凸模外区域法向位移分量的精确表达式。以图形的形式给出了冲头端部的应力强度因子和施加在接触区域上的扭矩的数值结果。
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引用次数: 3
Stress Analysis of Functionally Graded Disk with Exponentially Varying Thickness using Iterative Method 用迭代法分析指数变厚度功能梯度盘的应力
Q3 Engineering Pub Date : 2021-11-09 DOI: 10.37394/232011.2021.16.26
Sandeep Kumar Paul, M. Sahni
In this paper, variable thickness disk made up of functionally graded material (FGM) under internal and external pressure is analyzed using a simple iteration technique. Thickness of FGM disk and the material property, namely, Young’s modulus are varying exponentially in radial direction. Poisson’s ratio is considered invariant for the material. Navier equation is used to formulate the problem in the differential equation form under plane stress condition. Displacement, stresses, and strains are obtained under the influence of material gradation and variable thickness. Three different material combinations are considered for the FGM disk. The mechanical response of disk obtained for different functionally graded material combinations are compared with the homogenous disk, and results are plotted graphically
本文采用简单迭代法分析了功能梯度材料(FGM)在内外压作用下的变厚度圆盘。FGM圆盘的厚度和材料的杨氏模量沿径向呈指数变化。泊松比被认为是材料的不变量。在平面应力条件下,用Navier方程将问题以微分方程形式表示。位移、应力和应变是在材料级配和变厚度的影响下得到的。考虑了三种不同的材料组合用于FGM盘。将不同功能梯度材料组合得到的圆盘的力学响应与均匀圆盘的力学响应进行了比较,并将结果绘制成图形
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引用次数: 2
Analytical and Numerical Solutions to Selected Research Problems in Geomechanics and Geohydraulics 岩土力学和岩土水力学若干研究问题的解析和数值解
Q3 Engineering Pub Date : 2021-10-31 DOI: 10.37394/232011.2021.16.25
S. Basack, Ghritartha Goswami, S. Nimbalkar
Geomechanical and geohydraulic engineering is a promising study area with several emerging research concerns. Most of such problems requires advanced level of mathematics to arrive at specific solutions. A wide range of approaches includes several analytical and numerical techniques for better understanding of such problems. In this paper, a few selected research problems are identified, and their solution techniques are demonstrated. The specific areas relevant to such problems are soil-structure interaction, ground improvement and groundwater hydraulics. This paper presents the problem identification, their mathematical solutions and results as well as pertinent analyses and useful interpretations to practice.
岩土力学和岩土水利工程是一个很有前途的研究领域,有几个新的研究问题。大多数这样的问题都需要高水平的数学才能找到具体的解决方案。广泛的方法包括几种分析和数值技术,以更好地理解这些问题。本文确定了几个选定的研究问题,并展示了它们的解决技术。与这些问题相关的具体领域是土壤-结构相互作用、地基改良和地下水水力学。本文介绍了问题的识别,它们的数学解和结果,以及相关的分析和对实践的有益解释。
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引用次数: 5
Mathematical Modelling and Simulation for One Dimensional - Two-Phase Flow Equation in Petroleum Reservoir: A Matlab Algorithm Approach 油层一维两相流方程的数学建模与仿真:Matlab算法方法
Q3 Engineering Pub Date : 2021-10-29 DOI: 10.37394/232011.2021.16.24
Jwngsar Brahma
The reservoir behaviors described by a set of differential equation those results from combining Darcy’s law and the law of mass conservation for each phase in the system. The one-dimensional two-phase flow equation is implicit in the pressure and saturation and explicit in relative permeability. A mathematical model of a physical system is a set of partial differential equations together with an appropriate set of boundary conditions, which describes the significant physical processes taking place in that system. The processes occurring in petroleum reservoirs are fluid flow and mass transfer. Two immiscible phases (water& oil) flow simultaneously while mass transfer may take place among the phases. Gravity, capillary, and viscous forces play a role in the fluid-flow process. The model equations must account for all these forces and should also take into account an arbitrary reservoir description with respect to heterogeneity and geometry. Finally, one-dimensional two-phase flow equation through porous media is formulated by considering above reservoir parameters and forces. A numerical method based on finite difference scheme is implemented to get the solutions of one-dimensional two-phase flow equation. A MATLAB algorithm is used to solve the equation with mathematical analysis resulting in upper and lower bounds for the ratio of time step to mesh. The MATLAB algorithm is modified as per the model with appropriate initial and boundary conditions. The algorithm is applied to two-phase water flooding problems in laboratory size cores, and resulting saturation and pressure distribution are presented graphically. The saturation and pressure distribution of two-phase flow model is in agreement with the prediction of the Buckley Leveret theory. The numerical solution is used as a base for evaluating the numerical methods with respect to machine time requirement and allowable tie step for fixed mesh spacing.
储层行为由一组微分方程描述,这些微分方程是结合达西定律和系统中各相的质量守恒定律得出的。一维两相流方程在压力和饱和度中是隐式的,在相对渗透率中是显式的。物理系统的数学模型是一组偏微分方程和一组适当的边界条件,描述了该系统中发生的重要物理过程。油藏中发生的过程是流体流动和传质。两个不混溶相(水和油)同时流动,同时相之间可能发生传质。重力、毛细管力和粘性力在流体流动过程中发挥作用。模型方程必须考虑所有这些力,还应考虑关于非均质性和几何形状的任意储层描述。最后,通过考虑上述储层参数和受力,建立了一维两相渗流方程。采用基于有限差分格式的数值方法求解一维两相流方程。使用MATLAB算法求解方程,并进行数学分析,得出时间步长与网格比的上下限。在适当的初始条件和边界条件下,根据模型对MATLAB算法进行了修改。将该算法应用于实验室尺寸岩心的两相水驱问题,并以图形形式给出了饱和度和压力分布。两相流模型的饱和度和压力分布符合Buckley-Leveret理论的预测。该数值解用作评估数值方法的基础,该方法涉及固定网格间距的机器时间要求和允许的连接步长。
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引用次数: 0
Flow of a Fluid with Pressure-Dependent Viscosity through Variable Permeability Porous Layer 粘度随压力变化的流体在变渗透多孔层中的流动
Q3 Engineering Pub Date : 2021-10-22 DOI: 10.37394/232011.2021.16.23
M. Abu Zaytoon, Y. Xiao, M. Hamdan
In this work, we consider flow of a fluid with pressure-dependent viscosity down an inclined porous plane with variable permeability that is incorporated in the pressure-dependent drag coefficient. We provide a solution to a recently developed flow model, and study the effects of flow and domain parameters (viscosity control parameter, permeability proportionality constant, and angle of inclination) on the flow characteristics. Suitability of a variable permeability model that considers permeability proportional to the flow velocity is investigated. Results show that large values of the permeability proportionality constant have little or no effects on flow characteristics.
在这项工作中,我们考虑了具有压力相关粘度的流体沿着具有可变渗透率的倾斜多孔平面流动,该平面包含在压力相关阻力系数中。我们为最近开发的流动模型提供了一个解决方案,并研究了流动和域参数(粘度控制参数、渗透率比例常数和倾角)对流动特性的影响。研究了考虑渗透率和流速成比例的变渗透率模型的适用性。结果表明,渗透率比例常数的大值对流动特性的影响很小或根本没有。
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引用次数: 0
Thermomechanical and Tribological Properties of SiC/Gr Reinforced Hybrid Aluminum Composite for Disc Brake Application 盘式制动器用SiC/Gr复合材料的热机械性能和摩擦学性能
Q3 Engineering Pub Date : 2021-10-01 DOI: 10.37394/232011.2021.16.20
D. Rahmalina, H. Sukma, A. Suhadi
The disc brake motorcycle material has been developed by using aluminium matrix composite (AMC) reinforced with matrix particulate ceramic. The composite has many advantages: lightweight, high re-sistance to wear, and controllable strength by adjusting the reinforcement materials percentage. The main issue is the environmental factor that influences the surface properties of the disc. The research aims to study thermomechanical and tribology characteristics to determine the effect of the environmental factor on the composite's wear-out rate. The disc is made from matrix Al7Si6Mg9Zn composite matrix with 10% SiC and 10% graphite (v/v). The disc is produced by squeeze casting method and heated for 4 hours at 180 °C as artificial aging heat treatment. Thermomechanical characteristics are carried out by observing the temperature changes when a load is introduced to the disc. The pin-on-disc method is applied at three different speeds (60, 80, and 100 rpm) under the wet and dry surface on the disc for observing the tribo-logical properties. Thermomechanical characteristics of the disc are average braking time is 3.72 seconds, where the average braking distance is 515.8 cm at speed 40 km/hour with the average temperature of 46.12 °C. The wear-out rate results are steady, where the highest wear out rate for the dry surface is 0.725 mm3/N.m and 6.133 mm3/N.m for the wet surface at 100 rpm.
采用基体颗粒陶瓷增强铝基复合材料开发了摩托车盘式制动器材料。该复合材料具有重量轻、耐磨性高、可通过调节增强材料的百分比来控制强度等优点。主要问题是影响圆盘表面特性的环境因素。本研究旨在研究热机械和摩擦学特性,以确定环境因素对复合材料磨损率的影响。圆盘由基体Al7Si6Mg9Zn复合基体制成,基体中含有10%的SiC和10%的石墨(v/v)。圆盘采用挤压铸造法生产,在180°C下加热4小时,作为人工时效热处理。热机械特性是通过观察载荷引入圆盘时的温度变化来实现的。在圆盘的湿表面和干表面下,以三种不同的速度(60、80和100rpm)应用销-盘方法,以观察摩擦特性。圆盘的热机械特性是平均制动时间为3.72秒,其中在平均温度为46.12°C、速度为40km/h时,平均制动距离为515.8厘米。磨损率结果是稳定的,其中在100rpm下,干表面的最高磨损率为0.725mm3/N.m,湿表面的最高损耗率为6.133mm3/N.m。
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引用次数: 0
A Modified Model Reference Adaptive Control for High-Performance Pantograph Robot Mechanism 高性能受电弓机器人机构的改进模型参考自适应控制
Q3 Engineering Pub Date : 2021-10-01 DOI: 10.37394/232011.2021.16.22
Layla M. El-Τehewy, Mohamed A. Shamseldin, M. Sallam, Α. M. A. Ghany
Pantograph Robot Mechanism is considered a type of parallel manipulator which has been developed largely for industrial applications that need high accuracy and speed. Whereas, it needs a high-performance controller to track preselected trajectory planning. It is also able to carry higher weights than the open-chain mechanism with suitable accuracy and stability; this is because it consists of four active links and one passive link, instead of two links as in the open chain. This study presents a mathematical model for a closed chain pantograph mechanism, where the boundary conditions are taken into account. A complete MATLAB Simulink has been developed to simulate the dynamics of the pantograph robot mechanism. To validate the proposed mathematical model of the pantograph, the corresponding Simscape model had been developed. Also, three different tracking controllers were designed. The first control is the PID controller which had optimized by Flower Pollination (FP) optimization. The second control is an enhanced Nonlinear PID (NLPID) controller where its parameters were obtained by Flower Pollination (FP) optimization based on the effective objective function. The third control is the model reference adaptive control. A comparative study between the control techniques was accomplished. A rectangular trajectory was selected to be a position reference of the end effector of the pantograph robot. This task was done using the proposed controllers to investigate the performance. The results show that the model reference adaptive control has a better performance compared to the NLPID and PID controllers. The end effector has a less rise time and settling time with high accuracy in the case of the model reference adaptive control.
受电弓机器人机构被认为是一种并联机械手,主要用于需要高精度和高速度的工业应用。然而,它需要一个高性能的控制器来跟踪预先选择的轨迹规划。它还能够以适当的精度和稳定性承载比开链机构更高的重量;这是因为它由四个主动链路和一个被动链路组成,而不是像开放链中那样由两个链路组成。本文提出了一个考虑边界条件的闭链受电弓机构的数学模型。开发了一个完整的MATLAB Simulink来模拟受电弓机器人机构的动力学。为了验证所提出的受电弓数学模型,开发了相应的Simscape模型。此外,还设计了三种不同的跟踪控制器。第一种控制是采用花授粉(FP)优化的PID控制器。第二种控制是一种增强型非线性PID(NLPID)控制器,其参数是基于有效目标函数通过花轮询(FP)优化获得的。第三种控制是模型参考自适应控制。完成了控制技术之间的比较研究。选择矩形轨迹作为受电弓机器人末端执行器的位置基准。该任务是使用所提出的控制器来研究性能的。结果表明,与NLPID和PID控制器相比,模型参考自适应控制具有更好的性能。在模型参考自适应控制的情况下,末端执行器具有较小的上升时间和高精度的稳定时间。
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引用次数: 3
Study of Electrokinetic Properties of Magnetite – Silica Core – Shell Nanoparticles 磁铁矿-二氧化硅核-壳纳米颗粒的电动力学性质研究
Q3 Engineering Pub Date : 2021-09-16 DOI: 10.37394/232011.2021.16.19
Y. Utkin, Minggong Sha
In this work, the electrokinetic properties of Fe3O4 nanoparticles modified with various alkoxysilanes (tetraethoxysilane and 3-aminopropyltriethoxysilane) in various media were investigated. The determined values of the zeta potential of the Fe3O4/SiO2 samples indicate the complete coverage of nanoparticles with a tetraethoxysilane shell, as well as in the case of the Fe3O4/aminopropyltriethoxysilane. The data obtained on the zeta-potentials of modified nanoparticles with various ligands make it possible to predict the efficiency of subsequent functionalization by target molecules. A decisive role in the study of surface properties is played by cleaning from low molecular weight impurities that can screen the surface of nanoparticles or bind with an indifferent electrolyte. Thus, dispersion on a magnetic stirrer leads to an increase in the sorption capacity of the sample in comparison with ultrasonic dispersion, which causes irreversible destruction of the core-shell nanoparticle structure due to an increase in temperature and pressure in the cavities. This opens the prospective for practical application of modified nanoparticles for creation of tailored composite materials.
本工作研究了不同烷氧基硅烷(四乙氧基硅烷和3-氨基丙基三乙氧基硅烷)修饰的Fe3O4纳米粒子在不同介质中的电动性能。Fe3O4/SiO2样品的ζ电位的测定值表明,在Fe3O4/氨基丙基三乙氧基硅烷的情况下,四乙氧基硅烷壳完全覆盖了纳米颗粒。所获得的关于具有各种配体的改性纳米颗粒的ζ电位的数据使得预测靶分子随后功能化的效率成为可能。在表面性质的研究中,通过清除低分子量杂质发挥着决定性作用,这些杂质可以筛选纳米颗粒的表面或与不同的电解质结合。因此,与超声分散相比,在磁力搅拌器上的分散导致样品的吸附能力增加,超声分散由于空腔中温度和压力的增加而导致核壳纳米颗粒结构的不可逆破坏。这为改性纳米颗粒在制造定制复合材料方面的实际应用开辟了前景。
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引用次数: 1
Investigation of Adsorption Capacity of Magnetite Nanoparticles 磁性纳米粒子吸附性能的研究
Q3 Engineering Pub Date : 2021-09-16 DOI: 10.37394/232011.2021.16.18
V. Rodchenko, Kyaw Ye Ko
In this work, the preparation of Fe3O4 nanoparticles modified with 3-aminopropyltriethoxysilane (APTES) was carried out under various synthesis modes (in air or in argon). The zeta potential and hydrodynamic diameter of Fe3O4-APTES nanoparticles were determined by the method of dynamic and electrokinetic light scattering. The effect of humic acids on the zeta potential, hydrodynamic diameter and colloidal stability of Fe3O4-APTES at different pH values was established by the method of dynamic and electrophoretic light scattering. It has been shown that changes in the conditions of the synthesis of nanoparticles of one component composition Fe3O4-APTES (argon) and Fe3O4-APTES (air) (in an inert medium and in an air atmosphere, respectively) lead to a change in the charge of the particle surface and a subsequent change in the sorption properties with respect to HA. It was demonstrated that the decisive role in the study of surface properties is played by the purification from low-molecular-weight impurities that can screen the surface of nanoparticles or bind with an indifferent electrolyte. The stage of dispersive post-preparation of samples is also important for the correct determination of the sorption capacity and hydrodynamic diameter of particles.
在本工作中,在各种合成模式下(在空气或氩气中),制备了3-氨基丙基三乙氧基硅烷(APTES)修饰的Fe3O4纳米粒子。采用动态和电动光散射方法测定了Fe3O4 APTES纳米粒子的ζ电位和流体动力学直径。采用动态光散射法和电泳光散射法研究了腐殖酸对Fe3O4 APTES在不同pH值下的ζ电位、水动力学直径和胶体稳定性的影响。已经表明,单组分组成的纳米颗粒Fe3O4 APTES(氩气)和Fe3O4 APTES(空气)的合成条件的变化(分别在惰性介质和空气气氛中)导致颗粒表面电荷的变化以及随后相对于HA的吸附性质的变化。研究表明,从低分子量杂质中纯化可以筛选纳米颗粒表面或与中性电解质结合的杂质,在表面性质研究中起着决定性作用。样品的分散后制备阶段对于正确测定颗粒的吸附能力和流体动力学直径也很重要。
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引用次数: 2
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WSEAS Transactions on Applied and Theoretical Mechanics
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