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Some Consequences of Mathematical Inaccuracies in Mechanics 力学中数学不精确性的一些后果
Q3 Engineering Pub Date : 2022-09-16 DOI: 10.37394/232011.2022.17.17
E. Prozorova
The article is devoted to the study of some violations of the known laws of mathematics and classical mechanics in continuum mechanics and kinetics. The most common is open non-stationary systems. From the equations formulated earlier and some experiments, a connection traced between the gradients of physical quantities and the angular momentum (force). The use of Hamilton's formalism and the dependence of force only on the distance between particles limits the study. In the collision integral, for example, for a rarefied gas, the Lennard-Jones potential, which not related to the type under consideration, is often used. Hamilton's formalism traces the behavior of closed systems. The general form of boundary conditions and forces changes the theory proposed in the works of N.N. Bogolyubov. The results of the reformulation discussed. Even in the classical theory, after taking into account the moments, we come to the absence of symmetric stress tensor in Boltzmann theory. The symmetric tensor obtains after assumption of small influence from absence of symmetry at the condition of the forces balance. No symmetric tensor leads to the existence of two solutions. New examples of solving problems on hydromechanics, elasticity theory and kinetic theory are given. A correspondence between the terms of the Liouville equation with more general and traditional forces established for continues mechanics. Previously considered boundary layer problems, jet problems and the simplest problems of elasticity theory. The paper proposes a method for finding the second solution for no symmetric problems, if the solution of the symmetric problem we know. The mathematical inaccuracies of the theory of continuum mechanics and kinetics discussed.
本文致力于研究连续介质力学和动力学中一些违反已知数学定律和经典力学定律的问题。最常见的是开放的非平稳系统。根据前面公式化的方程和一些实验,得出了物理量梯度和角动量(力)之间的联系。汉密尔顿公式的使用以及力仅依赖于粒子之间的距离限制了研究。例如,在碰撞积分中,对于稀薄气体,经常使用与所考虑的类型无关的Lennard-Jones势。汉密尔顿的形式主义追溯了封闭系统的行为。边界条件和力的一般形式改变了N.N.Bogolyubov著作中提出的理论。讨论了重新配方的结果。即使在经典理论中,在考虑力矩后,我们也会发现玻尔兹曼理论中没有对称应力张量。对称张量是在假定力平衡条件下,由于缺乏对称性而产生较小影响后获得的。没有对称张量会导致两个解的存在。给出了求解流体力学、弹性理论和动力学理论问题的新实例。为连续力学建立的具有更一般力和传统力的刘维尔方程项之间的对应关系。以前考虑的边界层问题,射流问题和弹性理论中最简单的问题。如果我们知道对称问题的解,本文提出了一种寻找非对称问题第二解的方法。讨论了连续介质力学和动力学理论的数学不准确性。
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引用次数: 1
Breaking Wave Simulations by a New k−l Turbulence Model 一种新的k−l湍流模型对破碎波的模拟
Q3 Engineering Pub Date : 2022-09-13 DOI: 10.37394/232011.2022.17.15
F. Gallerano, Benedetta Iele, F. Palleschi, G. Cannata
The three-dimensional motion equations are used to simulate the wave and velocity fields. These equations are written in integral contravariant form on a time-dependent curvilinear coordinate system. In this paper a new ?−? turbulence model in contravariant form is proposed for three-dimensional simulation of breaking waves. In this model the mixing length is defined as a function of the first and second spatial derivatives of the maximum water surface elevation.
用三维运动方程模拟了波场和速度场。这些方程在随时间变化的曲线坐标系上以逆变积分形式表示。在本文中有一个新的?−?针对破碎波的三维模拟,提出了一种逆变形式的湍流模型。在该模型中,混合长度被定义为最大水面高度的一阶和二阶空间导数的函数。
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引用次数: 0
Computational and Variational Formulations of Unilateral Problems for Structures Made of Composite Materials (Laminates, Functionally Graded Materials) 复合材料(层压板、功能梯度材料)结构单侧问题的计算和变分公式
Q3 Engineering Pub Date : 2022-09-13 DOI: 10.37394/232011.2022.17.16
A. Muc
In the present paper buckling problems of constructions with a single delamination are conducted. Structures are made of laminates and functionally graded materials (FGM). The first part of the work is devoted to the formulation of contact problems with the aid of various functional inequalities. Then computational models are discussed. Finally two particular problems dealing with buckling of spherical shells and compressed rectangular plates. The results demonstrate that the unsymmetric configurations of FGM structures leads to the reduction of buckling loads for structures with delamination.
本文研究了单次分层结构的屈曲问题。结构由层压板和功能梯度材料(FGM)制成。这项工作的第一部分致力于借助于各种函数不等式来表述接触问题。然后讨论了计算模型。最后讨论了球壳和压缩矩形板屈曲的两个特殊问题。研究结果表明,FGM结构的非对称结构可以降低分层结构的屈曲载荷。
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引用次数: 0
Local Interpolation Splines and Solution of Integro-Differential Equations of Mechanic’s Problems 局部插值样条与力学问题积分微分方程的求解
Q3 Engineering Pub Date : 2022-07-28 DOI: 10.37394/232011.2022.17.14
I. Burova
Integro-differential equations are encountered when solving various problems of mechanics. Although Integro-Differential equations are encountered frequently in mathematical analysis of mechanical problems, very few of these equations will ever give us analytic solutions in a closed form. So that construction of numerical methods is the only way to find the approximate solution. This paper discusses the calculation schemes for solving integro-differential equations using local polynomial spline approximations of the Lagrangian type of the fourth and fifth orders of approximation. The features of solving integro-differential equations with the first derivative and the Fredholm and Volterra integrals of the second kind are discussed. Using the proposed spline approximations, formulas for numerical differentiation are obtained. These formulas are used to approximate the first derivative of a function. The numerical experiments are presented.
在求解各种力学问题时会遇到积分微分方程。虽然积分微分方程在力学问题的数学分析中经常遇到,但这些方程很少能以闭合形式给出解析解。因此,构造数值方法是找到近似解的唯一途径。本文讨论了用拉格朗日型四阶和五阶近似的局部多项式样条近似解积分微分方程的计算方案。讨论了一阶导数积分微分方程的求解特点以及第二类Fredholm积分和Volterra积分。利用所提出的样条近似,得到了数值微分的公式。这些公式用于近似函数的一阶导数。给出了数值实验结果。
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引用次数: 0
Synthesis Gas Sensor from CuFe2O3: Cu Films by Spin Coating CuFe2O3 - Cu薄膜自旋镀膜合成气体传感器
Q3 Engineering Pub Date : 2022-07-19 DOI: 10.37394/232011.2022.17.13
Ali J. Khalaf, Abeer S. Alfayhan, Mohammed A. AL-Shareafi
Thin films from CuFe2O3: Cu were prepared with different weights and then the membranes were prepared using a spin coating method with the rotation speed are (2000,3000,4000,5000) rpm respectively and the rotation time is 7s.. The films were examined as gas sensor against NH3gas at operating temperatures (200) °C, also sensitivity of films for gases increases with decreases temperature. The variation of the operating temperature of the films have led to a significant change in the sensitivity of the sensor. The gas sensor at the operating temperature of an to increasing in recovery response time and decreasing in response.
以不同重量的CuFe2O3∶Cu为原料制备了薄膜,然后采用旋涂法制备了膜,转速分别为(2000300040005000)rpm,旋转时间为7s。。在工作温度(200)°C下,薄膜被检测为针对NH3气体的气体传感器,薄膜对气体的灵敏度也随着温度的降低而增加。薄膜工作温度的变化导致传感器灵敏度的显著变化。气体传感器在工作温度下的恢复响应时间增加,响应时间减少。
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引用次数: 0
Analysis of Different Bascule Bridge Architectures 不同Bascule桥梁结构的分析
Q3 Engineering Pub Date : 2022-07-19 DOI: 10.37394/232011.2022.17.12
M. Abo-Elnor
Bascule bridges are widely used nowadays to overcome the obstruction of ships passage as crossing waterways and in some roadways to overcome transport vehicle height limitation. A Bascule bridge is a movable bridge with a counterweight that continuously balances a span, or "leaf", throughout its upward swing to provide clearance for boat or ship traffic. It may be single or double leafed. Balance Beam Bascule Bridge is one of the famous bascule bridge architecture in which bridge span counter balance weight is attached to a balance beam in the movable bridge operating mechanism. Although hydraulic cylinders is a particularly common solution to power majority of modern bascule bridges, it is very important to understand the kinematics and motion of the bridge leave for optimum operation of the bridge with prober counter balance selection. In this study a review of two operating hydraulic actuators arrangements; push arrangement and pull arrangement is carried out based on both design aspects and safety consideration. 3D model of the study mechanisms are constructed and a kinematics of bridge leaf (span) opening mechanisms are developed for early stage design configuration of bridge mechanism. kinematic analyses of bridge mechanism operation in both push and pull arrangements based on rigid body consideration is performed and Numerical analysis using finite element method is carried out in which stress distribution over tie rods is obtained. Some failure scenarios are introduced. Results show that tension forces acting on tie rods in pull arrangement is lower than that in push arrangement, work done by hydraulic cylinders (Actuators) in both arrangement is nearly identical and pull arrangement is much better than push arrangement from safety point of view.
目前,巴斯库勒桥被广泛用于克服船舶穿越水道时的通行障碍,并在一些道路上用于克服运输车辆的高度限制。Bascule桥是一种带有配重的可移动桥梁,配重在整个向上摆动过程中不断平衡跨度或“叶片”,为船只或船舶交通提供间隙。它可以是单叶的,也可以是双叶的。平衡梁-巴塞尔桥是著名的巴塞尔桥建筑之一,桥跨平衡配重连接在活动式桥梁操作机构中的平衡梁上。尽管液压缸是为大多数现代基本桥梁提供动力的一种特别常见的解决方案,但了解桥梁的运动学和运动对于选择探测器平衡来优化桥梁运行是非常重要的。在本研究中,回顾了两种操作液压致动器的布置;推拉布置是基于设计方面和安全考虑进行的。建立了研究机构的三维模型,并开发了桥叶(跨)开启机构的运动学模型,用于桥梁机构的早期设计配置。基于刚体考虑,对桥梁机构在推拉两种布置下的运行进行了运动学分析,并采用有限元方法进行了数值分析,得到了拉杆上的应力分布。介绍了一些故障场景。结果表明,拉式布置中作用在拉杆上的张力低于推式布置,两种布置中液压缸(执行器)所做的功几乎相同,从安全角度来看,拉式安排比推式安排好得多。
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引用次数: 0
Motion Sensing Study on a Mobile Robot Through Simulation Model and Experimental Tests 基于仿真模型和实验测试的移动机器人运动传感研究
Q3 Engineering Pub Date : 2022-07-06 DOI: 10.37394/232011.2022.17.11
Pierangelo Malfi, A. Nicolella, M. Spirto, C. Cosenza, V. Niola, S. Savino
The employment of mobile robots, remotely or autonomously controlled for field operations, is an emerging topic. The development of suitable simulation models can aid the design and testing of such mobile robots. Here a small commercial prototype of a Rocker-Bogie Rover has been employed in experimental tests compared to simulations on a multibody model. In particular, the tests have dealt with the acquisition and processing of accelerometer signals both on experimental prototype and in simulation environment. The paper proposes a real time signal processing approach that could aid the motion planning and rover navigation control.
使用远程或自主控制的移动机器人进行野外作业是一个新兴的话题。建立合适的仿真模型有助于此类移动机器人的设计和测试。在这里,一个小型的商用罗克转向架漫游者的原型已经被用于实验测试,与多体模型的模拟进行了比较。在实验样机和仿真环境下对加速度计信号进行了采集和处理。提出了一种实时信号处理方法,以辅助机器人的运动规划和导航控制。
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引用次数: 1
Mathematical Modeling of the Contact Interaction of the Fuel Element Section, Including up to 100 Pellets, Taking into Account Creep 考虑蠕变的燃料元件部分接触相互作用的数学建模,包括多达100个球团
Q3 Engineering Pub Date : 2022-07-04 DOI: 10.37394/232011.2022.17.10
P. Aronov, Mikhail Galanin, Alexander Rodin
An algorithm for solving axisymmetric contact problems of thermoelasticity taking into account creep processes is considered. To account for the contact interaction of bodies, the mortar method was used, and the modified Jacobi method was used to solve the resulting system of linear equations. For the numerical solution of the problem simulating the creep process, time discretization based on the implicit Euler method was applied, and the Newton method was used to linearize the resulting system of equations. An algorithm with automatic step selection based on obtaining an estimate of the local error of the method is proposed. The results of applying the proposed algorithm to a demonstration problem simulating thermomechanical processes in a section of a fuel element comprising from 1 to 100 fuel pellets are presented.
考虑了考虑蠕变过程的热弹性轴对称接触问题的求解算法。为了考虑物体的接触相互作用,使用了mortar方法,并使用改进的Jacobi方法来求解所得到的线性方程组。对于模拟蠕变过程的问题的数值解,应用了基于隐式欧拉方法的时间离散化,并使用牛顿方法对所得方程组进行线性化。提出了一种基于获得该方法的局部误差估计的自动步长选择算法。给出了将所提出的算法应用于模拟包括1至100个燃料芯块的燃料元件截面中的热机械过程的演示问题的结果。
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引用次数: 0
Seismic Loads Influence Treatment on the Liquid Hydrocarbon Storage Tanks Made of Nanocomposite Materials 地震荷载对纳米复合材料液态烃储罐的影响处理
Q3 Engineering Pub Date : 2022-06-30 DOI: 10.37394/232011.2022.17.9
O. Sierikova, E. Strelnikova, K. Degtyarev
The liquid hydrocarbon storage tanks are the objects of environmental danger. It is necessary to perform additional calculations and develop appropriate design solutions to minimize the risks of their accidents in the event of the earthquake or explosions. The degree of damage to the environmentally hazardous object during the earthquake depends not only on the seismic effects level, but also on the quality of seismic design and construction. The possibility of exposure to smaller but more frequent and prolonged seismic loads caused by technogenic and natural factors has not been sufficiently taken into account in tanks designing for the environmentally hazardous liquids storage. The composite materials using with nanoinclusions in tanks for storage liquid hydrocarbons, allows to increase the reliability of tanks under seismic loads and extend their service life under the influence of natural and technogenic influences of various origin. The results of the calculations have been shown that the use of composite materials with nanoinclusions in the steel spheres form is the best option for environmentally friendly operation of tanks under seismic loads.
液态烃储罐是环境危险的对象。有必要进行额外的计算并制定适当的设计解决方案,以最大限度地降低地震或爆炸时发生事故的风险。地震对环境危险物的破坏程度不仅取决于地震作用水平,还取决于抗震设计和施工质量。在设计用于环境危险液体储存的储罐时,没有充分考虑到技术和自然因素导致的暴露于较小但更频繁和延长的地震荷载的可能性。在储存液态烃的储罐中使用纳米夹杂物的复合材料,可以提高储罐在地震载荷下的可靠性,并在各种来源的自然和技术影响的影响下延长其使用寿命。计算结果表明,使用具有钢球形式的纳米夹杂物的复合材料是储罐在地震载荷下环保运行的最佳选择。
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引用次数: 4
Synthesis and Characterization of Nanoparticle Semiconductor Materials (ZnO) by Hydrothermal Technique 水热法制备纳米半导体材料(ZnO)及表征
Q3 Engineering Pub Date : 2022-05-06 DOI: 10.37394/232011.2022.17.8
A. M. A. Al-kifaie, Narimann Neamah Hussein, Taghreed N. Jamil, Alaa A. Akon, A. Abojassim
ZnO nanoparticles have been synthesized by the Hydrothermal technique of [Zn(CH3COO)2 2H2O] solution by ethanol within NaOH. The samples have been characterized by an X-ray diffraction study. Field emission Scanning electron microscopy reveals the nanostructure of the particles produced. their crystal size ranges in the range of nm (74-94 nm) and changes to(53-59 nm) under change of the time preparation.
采用乙醇在氢氧化钠中溶解[Zn(CH3COO)_2H2O]水热法合成了ZnO纳米粒子。样品已通过X射线衍射研究进行了表征。场发射扫描电子显微镜揭示了所产生的颗粒的纳米结构。它们的晶体尺寸范围在nm(74-94nm)的范围内,并且在制备时间的变化下变化到(53-59nm)。
{"title":"Synthesis and Characterization of Nanoparticle Semiconductor Materials (ZnO) by Hydrothermal Technique","authors":"A. M. A. Al-kifaie, Narimann Neamah Hussein, Taghreed N. Jamil, Alaa A. Akon, A. Abojassim","doi":"10.37394/232011.2022.17.8","DOIUrl":"https://doi.org/10.37394/232011.2022.17.8","url":null,"abstract":"ZnO nanoparticles have been synthesized by the Hydrothermal technique of [Zn(CH3COO)2 2H2O] solution by ethanol within NaOH. The samples have been characterized by an X-ray diffraction study. Field emission Scanning electron microscopy reveals the nanostructure of the particles produced. their crystal size ranges in the range of nm (74-94 nm) and changes to(53-59 nm) under change of the time preparation.","PeriodicalId":53603,"journal":{"name":"WSEAS Transactions on Applied and Theoretical Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45940099","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: 0
期刊
WSEAS Transactions on Applied and Theoretical Mechanics
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