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SMEARED CONCEPT AS A GENERAL METHODOLOGY IN FINITE ELEMENT MODELING OF PHYSICAL FIELDS AND MECHANICAL PROBLEMS IN COMPOSITE MEDIA 复合材料物理场和力学问题有限元建模的一种通用方法&模糊概念
IF 0.4 Q3 Engineering Pub Date : 2018-12-31 DOI: 10.24874/JSSCM.2018.12.02.01
M. Kojic
A generalization of the smeared concept for field problems, published in recent papers of the author and his collaborators, is presented in the paper. A composite smeared finite element CSFE is formulated. This generalization can serve as a theoretical background for further applications. A selected numerical example, related to convective-diffusive mass transport within a cancerous tissue, illustrates efficiency and accuracy of the smeared models. Further, a smeared methodology is extended to mechanical problems. A theoretical background is given in detail, with introducing a composite smeared finite element for mechanics CSFEM, which can further be tested and modified. Finally, a consistent derivation is presented for the continuum constitutive tensor corresponding to a fibrous structure.
本文对作者及其合作者最近发表的关于场问题的模糊概念进行了推广。建立了一个复合涂抹有限元CSFE。这种概括可以作为进一步应用的理论背景。一个选定的数值例子,与癌组织内的对流扩散质量传输有关,说明了涂抹模型的效率和准确性。此外,将模糊方法推广到力学问题。给出了详细的理论背景,介绍了一种用于力学CSFEM的复合涂抹有限元,该单元可以进一步测试和修改。最后,给出了对应于纤维结构的连续体本构张量的一致性推导。
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引用次数: 11
INFORMATION MEASURING SYSTEM OF NUMERICAL DIFFERENTIATION FOR THE ANALYSIS OF ELEMENTS OF MECHANICAL STRUCTURES 用于机械结构单元分析的数值微分信息测量系统
IF 0.4 Q3 Engineering Pub Date : 2018-12-31 DOI: 10.24874/JSSCM.2018.12.02.04
A. P. Loktionov
In this paper, the theory of the Lagrange polynomial approximation of a directly non-measurable characteristic of an element of a mechanical structure by means of an information-measuring system of numerical differentiation is refined. It is shown how to obtain the maximal accuracy of approximation on the basis of the theory of inverse problems and the method of reduction of measurements. For a cantilever beam loaded with concentrated force at its free end, a method has been developed for the experimental and calculated determination of the bending moment at the fixed end of the beam. The basis of the method is the procedure for the optimal placement of sensors and transformation of sensor output signals, if the length of the beam and the initial parameters of the elastic line (lateral displacement and the angle of rotation on the support) are not accurate.
本文利用数值微分信息测量系统,对机械结构元件直接不可测特性的拉格朗日多项式近似理论进行了改进。介绍了如何在反问题理论和测量约简方法的基础上获得最大逼近精度。对于自由端集中受力的悬臂梁,提出了一种通过实验和计算确定梁固定端弯矩的方法。如果梁的长度和弹性线的初始参数(支架上的横向位移和旋转角度)不准确,则该方法的基础是传感器的最佳放置和传感器输出信号的转换程序。
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引用次数: 2
MATHEMATICAL MODELLING OF POLYMER TRAJECTORY DURING ELECTROSPINNING 静电纺丝过程中聚合物轨迹的数学建模
IF 0.4 Q3 Engineering Pub Date : 2018-12-31 DOI: 10.24874/jsscm.2018.12.02.02
Ilektra Ferouka, T. Šušteršič, M. Zivanovic, N. Filipovic
The most important characteristics of the electrospun fibers are their internal morphology and their diameter. They both depend on polymer’s parameters, but also on the process parameters. The motivation for this research is therefore to simulate the jet during electrospinning and analyze the effects of some of the parameters on the jet (and implicitly on fibers), without the necessity to perform the experiments each time. The calculations of the polymer’s behavior between the electrodes was based on the discrete model of Reneker. Thus, the jet was modeled as a system of beads connected by viscoelastic elements. The results were compared to the results obtained in the literature and showed good agreement. The results showed how the jet shape during electrospinning depends on each parameter. The ultimate goal was to establish the exact influence of the above-mentioned parameters on the fibers’ diameter. This would allow to set rough values of electrospinning parameters, which could be further fine-tuned, in order to obtain the fibers with expected characteristics. The beneficial effect of such simulations are time gain, but also reduced material consumption, maintenance costs etc.
电纺纤维最重要的特征是其内部形态和直径。它们既取决于聚合物的参数,也取决于工艺参数。因此,本研究的动机是模拟静电纺丝过程中的射流,并分析一些参数对射流的影响(以及对纤维的影响),而无需每次都进行实验。聚合物在电极之间的行为的计算是基于Reneker的离散模型。因此,射流被建模为由粘弹性元件连接的珠粒系统。将结果与文献中获得的结果进行比较,并显示出良好的一致性。结果表明,静电纺丝过程中的射流形状取决于各个参数。最终目标是确定上述参数对纤维直径的确切影响。这将允许设置静电纺丝参数的粗略值,可以进一步微调,以获得具有预期特性的纤维。这种模拟的有益效果是时间增益,但也减少了材料消耗和维护成本等。
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引用次数: 4
CARGO TRANSPORTATION BY BRIDGE CRANES ALONG A PREDETERMINED TRAJECTORY WITHOUT UNCONTROLLABLE SWAYS 用桥式起重机沿预定轨道运输货物,无不可控的摆动
IF 0.4 Q3 Engineering Pub Date : 2018-12-31 DOI: 10.24874/JSSCM.2018.12.02.05
M. Korytov, V. Shcherbakov
In this paper, we propose a method and a mathematical model for solving the problem of cargo transportation on a suspension rope by a bridge crane following a predetermined trajectory in the absence of uncontrollable pendulum sways. To this end, the principle of reduction of the secondorder linearized differential equation, which describes sways in the ‘point of suspension – cargo’ system, is applied. As a result, a first-order differential equation is derived, in which the control action consists in the required acceleration of the cargo. The proposed method allows a rapid synthesis of an optimal trajectory of the suspension point for ensuring the required cargo movement trajectory in the horizontal direction without either complex mathematical calculations of the optimal control theory or the laborious algorithms of multidimensional or iterative optimization. This method can be used in the systems providing the automated control of bridge cranes with the function of restricting uncontrolled cargo sways, as well as in those having a new prospective function of cargo transportation maintenance along a predetermined trajectory.
在本文中,我们提出了一种方法和数学模型来解决在没有不可控制的摆锤摆动的情况下,桥式起重机沿着预定轨迹在悬索上运输货物的问题。为此,应用了描述“悬挂点-货物”系统中摇摆的二阶线性化微分方程的归约原理。因此,导出了一阶微分方程,其中控制作用包括货物所需的加速度。所提出的方法允许在没有最优控制理论的复杂数学计算或多维或迭代优化的费力算法的情况下快速合成悬挂点的最优轨迹,以确保在水平方向上所需的货物移动轨迹。该方法可用于为桥式起重机提供自动控制的系统中,该系统具有限制不受控制的货物摆动的功能,也可用于具有沿预定轨迹进行货物运输维护的新的预期功能的系统中。
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引用次数: 2
STATISTICAL ESTIMATION OF RESIDUAL STRENGTH AND RELIABILITY OF CORRODED PIPELINE ELBOW PART BASED ON A DIRECT FE-SIMULATIONS 基于直接有限元模拟的管道弯头腐蚀残余强度及可靠性统计估计
IF 0.4 Q3 Engineering Pub Date : 2018-10-31 DOI: 10.24874/JSSCM.2018.12.01.06
O. Larin, K. Potopalska, R. Mygushchenko
In this paper, the assessment of the effect of a corrosion defect, which is developing over time on the working capacity of the pipeline elbow, has been carried out. Corrosion damage models explicitly as volumetric defect on the out surface of the pipeline elbow. The zones on the damaged section of the pipeline on which the maximum stresses are localized has been defined using the finite element analysis. The estimation of the characteristics of the deformed state of a design with defect is analysed with the framework of computer simulations. On the basis of the obtained results, the probabilistic characteristics of the stresses and plastic strains have been approximated as a function of internal pressure and corrosion defect depth, such as mean value, coefficients of variation and asymmetry. Probability densities function of plasticity appearance have been found for different defect size in operation at typical loading levels.
本文对管道弯头腐蚀缺陷随时间发展对弯头工作能力的影响进行了评估。腐蚀损伤模型明确为管道弯头外表面的体积缺陷。利用有限元分析确定了管道破损段上的最大应力局部区域。在计算机仿真的框架下,分析了含缺陷设计变形状态特征的估计。在得到的结果的基础上,将应力和塑性应变的概率特征近似为内压和腐蚀缺陷深度的函数,如平均值、变异系数和不对称性。在典型载荷水平下,发现了不同缺陷尺寸的塑性外观的概率密度函数。
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引用次数: 6
DYNAMIC STABILITY OF DOUBLE-WALLED CARBON NANOTUBES 双壁碳纳米管的动力学稳定性
IF 0.4 Q3 Engineering Pub Date : 2018-10-31 DOI: 10.24874/JSSCM.2018.12.01.01
D. Lolov, S. Lilkova-Markova
This paper investigates the stability of a simply supported DWCNT conveying fluid inside its innermost tube. The van der Waals interaction between the adjacent carbon layers are taken into account. The Euler elastic beam model is employed in order to study the dynamic stability behavior of the system. The aim is to analyze the influence of the density of the conveyed fluid, the length of the tube and the dimensions of its cross section on the critical flow velocity of the fluid in the pipe under consideration and to draw conclusions about the stability of the system. This problem is approached numerically using the spectral Galerkin method. Results reveal that all above mentioned parameters have a significant effect on the stability of the nanotube.
本文研究了在最内管内输送流体的简支DWCNT的稳定性。考虑了相邻碳层之间的范德华相互作用。采用欧拉弹性梁模型来研究系统的动力稳定性。目的是分析输送流体的密度、管道长度及其横截面尺寸对所考虑的管道中流体临界流速的影响,并得出有关系统稳定性的结论。利用谱伽辽金方法对该问题进行了数值求解。结果表明,上述参数对纳米管的稳定性有显著影响。
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引用次数: 1
NUMERICAL STUDY OF MOTION OF A SPHERICAL PARTICLE IN A ROTATING PARABOLA USING LAGRANGIAN 用拉格朗日量数值研究球形粒子在旋转抛物线中的运动
IF 0.4 Q3 Engineering Pub Date : 2018-10-31 DOI: 10.24874/jsscm.2018.12.01.04
H. Khalilia, R. Jarrar, J. Asad
In this paper, we study the motion of a spherical particle in a rotating parabola using the Lagrangian method. As the first step, we construct the Lagrangian of the system, and then we obtain the Euler-Lagrange equations (i.e. equation of motion of the system). The obtained equation of motion is a homogenous second order equation. Finally, we solve this equation numerically using the ode45 code which is based on Runge-Kutta method.
在本文中,我们用拉格朗日方法研究了球形粒子在旋转抛物线中的运动。作为第一步,我们构造了系统的拉格朗日量,然后我们得到了欧拉-拉格朗日方程(即系统的运动方程)。所得到的运动方程是一个齐次二阶方程。最后,我们使用基于龙格-库塔方法的ode45程序对该方程进行了数值求解。
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引用次数: 2
MODELLING OF THE FEMORAL FRACTURE UNDER DYNAMIC LOADING 动态载荷作用下股骨骨折的建模
IF 0.4 Q3 Engineering Pub Date : 2018-10-31 DOI: 10.24874/JSSCM.2018.12.01.07
A. Moulgada, Mohammed Zagane, A. Benouis, A. Sahli, M. Cherfi, S. Benbarek
Bone is a living material with a complex hierarchical structure that gives it remarkable mechanical properties. The bone undergoes constant mechanical and physiological stress, so its quality and its resistance to fracture evolve constantly over time through the process of bone remodelling. Bone quality is not only defined by bone mineral density but also by mechanical properties as well as micro architecture. The aim of this work is to model the fracture of the femur bone under a quasi-static and dynamic solicitation in order to create a digital model simulating the fractures of this element due to an accident. This modelling will contribute to improve the design of the means of transport to bring a better security to the passages. To achieve this goal, the modelling by the finite element method is performed to study the mechanical behaviour of bone structure and predict femur fractures.
骨骼是一种具有复杂层次结构的活体材料,具有显著的力学性能。骨骼承受着持续的机械和生理应力,因此在骨骼重塑过程中,其质量和抗骨折能力会随着时间的推移而不断发展。骨质量不仅由骨密度决定,还由力学性能和微观结构决定。这项工作的目的是在准静态和动态条件下对股骨骨折进行建模,以创建一个数字模型来模拟该元件因事故而发生的骨折。该模型将有助于改进交通工具的设计,为通道带来更好的安全性。为了实现这一目标,通过有限元方法进行建模,以研究骨结构的力学行为并预测股骨骨折。
{"title":"MODELLING OF THE FEMORAL FRACTURE UNDER DYNAMIC LOADING","authors":"A. Moulgada, Mohammed Zagane, A. Benouis, A. Sahli, M. Cherfi, S. Benbarek","doi":"10.24874/JSSCM.2018.12.01.07","DOIUrl":"https://doi.org/10.24874/JSSCM.2018.12.01.07","url":null,"abstract":"Bone is a living material with a complex hierarchical structure that gives it remarkable mechanical properties. The bone undergoes constant mechanical and physiological stress, so its quality and its resistance to fracture evolve constantly over time through the process of bone remodelling. Bone quality is not only defined by bone mineral density but also by mechanical properties as well as micro architecture. The aim of this work is to model the fracture of the femur bone under a quasi-static and dynamic solicitation in order to create a digital model simulating the fractures of this element due to an accident. This modelling will contribute to improve the design of the means of transport to bring a better security to the passages. To achieve this goal, the modelling by the finite element method is performed to study the mechanical behaviour of bone structure and predict femur fractures.","PeriodicalId":42945,"journal":{"name":"Journal of the Serbian Society for Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49580794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
DUFOUR AND SORET EFFECTS ON UNSTEADY MHD FREE CONVECTIVE FLOW OF VISCOUS INCOMPRESSIBLE FLUID PAST AN INFINITE VERTICAL POROUS PLATE IN THE PRESENCE OF RADIATION 辐射作用下粘性不可压缩流体通过无限垂直多孔板的非定常MHD自由对流的Dufour和soret效应
IF 0.4 Q3 Engineering Pub Date : 2018-10-31 DOI: 10.24874/jsscm.2018.12.01.02
B. P. Reddy, J. Sunzu
In this paper, the Dufour and Soret effects on an unsteady MHD free convection flow of an incompressible, electrically conducting viscous Newtonian fluid past an infinite vertical porous plate have been studied, taking into account Viscous and Darcy resistance terms and constant permeability of the medium in the presence of radiation. The fluid is considered as a gray, absorbing-emitting but non-scattering medium. The Rosseland approximation in the energy equation is used to describe the radiative heat flux for optically thick fluid. The dimensionless governing equations for this investigation are solved numerically using Galerkin finite element method. The influence of the physical parameters involved in the problem under investigation on the velocity, temperature and concentration profiles within the boundary layer are presented through the graphs and tabulated results for the skin-friction coefficient, Nusselt and Sherwood numbers.
本文研究了Dufour和Soret效应对不可压缩、导电的粘性牛顿流体通过无限垂直多孔板的非定常MHD自由对流的影响,考虑了粘性和达西阻力项以及介质在辐射存在下的恒定渗透率。流体被认为是一种灰色的、吸收的、发射但不散射的介质。能量方程中的Rosseland近似用于描述光学厚流体的辐射热通量。采用伽辽金有限元方法对本次研究的无量纲控制方程进行了数值求解。所研究问题中涉及的物理参数对边界层内的速度、温度和浓度分布的影响通过皮肤摩擦系数、努塞尔数和舍伍德数的图表和列表结果给出。
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引用次数: 2
ACTIVE CONTROL OF BLOOD FLOW IN THE AORTA USING EXTERNAL MAGNETIC FIELD 利用外部磁场主动控制主动脉血流
IF 0.4 Q3 Engineering Pub Date : 2018-10-31 DOI: 10.24874/JSSCM.2018.12.01.03
N. Aggoune, G. Mebarki, M. Nezar, M. Aggoune, R. Abdessemed
The objective of the present study is the active flow control of blood in the aorta with atherosclerosis using an External Magnetic Field (EMF) in order to facilitate the blood flow. For that purpose, a numerical investigation has been developed with a Magneto-hydrodynamics flow modelisation. The blood is considered homogeneous, incompressible and Newtonian and the fluid flow is assumed to be unsteady, two-dimensional and laminar. The aorta tissue is electrically conductive. Fluent software has been used to solve the governing equations. The results relating to velocity, pressure and the wall shear stress indicate that the presence of the EMF considerably influences the blood flow. The flow control deals with the effects of the EMF direction of application and its intensity. The results show that by applying an EMF, the blood velocity and pressure in the aorta are entirely affected. The direction and the intensity of the EMF allow minimization of the flow instabilities due to the geometrical singularities. Therefore, applying an EMF can be considered an appropriate method for flow control in order to obtain a uniform blood circulation around the atherosclerosis.
本研究的目的是利用外部磁场(EMF)对动脉粥样硬化主动脉的血液流动进行主动控制,以促进血液流动。为此,采用磁流体力学流动模型进行了数值研究。血液被认为是均匀的、不可压缩的和牛顿的,流体流动被认为是不稳定的、二维的和层流的。主动脉组织是导电的。采用Fluent软件对控制方程进行求解。有关速度、压力和壁面剪切应力的结果表明,电动势的存在对血流有相当大的影响。流动控制处理的是电动势施加方向和强度的影响。结果表明,施加电磁场后,主动脉内的血流速度和血压完全受到影响。电动势的方向和强度允许最小化由于几何奇点的流动不稳定性。因此,应用电磁场可以被认为是一种适当的流量控制方法,以便在动脉粥样硬化周围获得均匀的血液循环。
{"title":"ACTIVE CONTROL OF BLOOD FLOW IN THE AORTA USING EXTERNAL MAGNETIC FIELD","authors":"N. Aggoune, G. Mebarki, M. Nezar, M. Aggoune, R. Abdessemed","doi":"10.24874/JSSCM.2018.12.01.03","DOIUrl":"https://doi.org/10.24874/JSSCM.2018.12.01.03","url":null,"abstract":"The objective of the present study is the active flow control of blood in the aorta with atherosclerosis using an External Magnetic Field (EMF) in order to facilitate the blood flow. For that purpose, a numerical investigation has been developed with a Magneto-hydrodynamics flow modelisation. The blood is considered homogeneous, incompressible and Newtonian and the fluid flow is assumed to be unsteady, two-dimensional and laminar. The aorta tissue is electrically conductive. Fluent software has been used to solve the governing equations. The results relating to velocity, pressure and the wall shear stress indicate that the presence of the EMF considerably influences the blood flow. The flow control deals with the effects of the EMF direction of application and its intensity. The results show that by applying an EMF, the blood velocity and pressure in the aorta are entirely affected. The direction and the intensity of the EMF allow minimization of the flow instabilities due to the geometrical singularities. Therefore, applying an EMF can be considered an appropriate method for flow control in order to obtain a uniform blood circulation around the atherosclerosis.","PeriodicalId":42945,"journal":{"name":"Journal of the Serbian Society for Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46495324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
期刊
Journal of the Serbian Society for Computational Mechanics
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