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Non-dyadic Haar Wavelet Algorithm for the Approximated Solution of Higher order Integro-Differential Equations 高阶积分微分方程近似解的非二进Haar小波算法
IF 1.6 Q1 Mathematics Pub Date : 2023-07-01 DOI: 10.33889/ijmems.2023.8.4.045
Ratesh Kumar, Sabiha Bakhtawar
The objective of this study is to explore non-dyadic Haar wavelets for higher order integro-differential equations. In this research article, non-dyadic collocation method is introduced by using Haar wavelet for approximating the solution of higher order integrodifferential equations of Volterra and Fredholm type. The highest order derivatives in the integrodifferential equations are approximated by the finite series of non-dyadic Haar wavelet and then lower order derivatives are calculated by the process of integration. The integro-differential equations are reduced to a set of linear algebraic equations using the collocation approach. The Gauss - Jordan method is then used to solve the resulting system of equations. To demonstrate the efficiency and accuracy of the proposed method, numerous illustrative examples are given. Also, the approximated solution produced by the proposed wavelet technique have been compared with those of other approaches. The exact solution is also compared to the approximated solution and presented through tables and graphs. For various numbers of collocation points, different errors are calculated. The outcomes demonstrate the effectiveness of the Haar approach in resolving these equations.
本研究的目的是探索高阶积分微分方程的非二进Haar小波。本文介绍了用Haar小波逼近Volterra型和Fredholm型高阶积分微分方程解的非并元配置方法。积分微分方程中的最高阶导数由非并矢Haar小波的有限级数逼近,然后通过积分过程计算低阶导数。利用配置方法将积分微分方程简化为一组线性代数方程。然后使用高斯-乔丹方法来求解得到的方程组。为了证明该方法的有效性和准确性,给出了大量的实例。此外,还将所提出的小波技术产生的近似解与其他方法的近似解进行了比较。精确解也与近似解进行了比较,并通过表格和图表给出。对于不同数量的搭配点,计算出不同的误差。结果证明了Haar方法在求解这些方程方面的有效性。
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引用次数: 0
Mérnöktanár-képzés – Taneszközök kiválasztása
IF 1.6 Q1 Mathematics Pub Date : 2023-06-30 DOI: 10.21791/ijems.2023.2.10.
Rita Nagyné Kondor
A mérnöktanár-képzésből kerülnek ki a szakképzés leendő tanárai. A diákoknak a tanulás javítása érdekében megfelelő oktatási eszközökre van szükségük, melyek elősegítik az interakciót és ösztönző tanulási környezetet biztosítanak.  Jelen cikk a leendő mérnöktanárok taneszköz választásával és használatával foglalkozik a szakképző iskolákban folytatott tanítási gyakorlat után.
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引用次数: 0
Component development using Topological Methods 使用拓扑方法进行组件开发
IF 1.6 Q1 Mathematics Pub Date : 2023-06-30 DOI: 10.21791/ijems.2023.2.6.
Kristóf Szabó
The article aims to briefly summarize the design aids which can be used nowadays, such as topology optimization and generative design, which are common in integrated CAD systems. A case study is used to present the results and comparisons provided by the previously mentioned methods.
本文旨在简要总结目前在集成CAD系统中常用的设计辅助工具,如拓扑优化和生成设计。通过一个案例研究来展示前面提到的方法所提供的结果和比较。
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引用次数: 0
Surface Quality of Carbide Metal After Electrical Discharge Machining 电火花加工后硬质合金表面质量的研究
IF 1.6 Q1 Mathematics Pub Date : 2023-06-30 DOI: 10.21791/ijems.2023.2.4.
Ľ. Straka, P. Kuchta
Recently, the requirements for machining shape-complex products made of hard-to-machine materials, including carbide, have been increasing significantly. However, their machining is rather problematic. Additionally, a high-quality standard of the machined surface is generally required, not only in terms of roughness but also in terms of the geometric accuracy of the machined surface. All this while maintaining a high level of economy in the machining process. However, meeting these demanding requirements in real technical practice is not always an easy task. Moreover, in combination with modern machining processes, only a limited number of production technologies can meet this requirement. Therefore, due to the high demands placed on today's modern production and the required high standard of the machined surface, progressive EDM technology is increasingly finding its application. And it is through this progressive technology that it is possible to achieve relatively good success in carbide machining. The aim of this paper was therefore to describe in detail the results of an experimental investigation aimed at identifying the quality of the machined surface achieved in terms of the roughness parameters of the machined surface in the electrical discharge machining of selected types of carbides using a wire tool electrode.
最近,对包括硬质合金在内的难加工材料制成的形状复杂产品的加工要求显著增加。然而,它们的加工相当有问题。此外,通常需要高质量的加工表面标准,不仅在粗糙度方面,而且在加工表面的几何精度方面。同时在加工过程中保持高水平的经济性。然而,在实际的技术实践中满足这些苛刻的要求并不总是一件容易的事情。而且,结合现代机械加工工艺,只有少数几种生产技术能够满足这一要求。因此,由于对当今现代生产的高要求和对加工表面的高标准要求,渐进电火花加工技术越来越多地得到应用。正是通过这种先进的技术,才有可能在硬质合金加工中取得相对较好的成功。因此,本文的目的是详细描述一项实验研究的结果,该实验研究旨在确定在所选类型的硬质合金电火花加工中,根据加工表面的粗糙度参数所获得的加工表面质量。
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引用次数: 0
Potentiodynamic Study of The Effects of Nickel on The Electrodeposition of Zinc from Chloride Media 镍对氯化物介质电沉积锌影响的电位动力学研究
IF 1.6 Q1 Mathematics Pub Date : 2023-06-30 DOI: 10.21791/ijems.2023.2.2.
H. Zakiyya, T. Kékesi
Abstract. The potentiodynamic experiments of the nickel effects on the zinc electrodeposition have been done to understand the impact of Ni impurities on the electrowinning of Zn from spent pickling liquor. The nickel chloride solutions of Ni concentrations 90 and 1 g/dm3 were used as the electrolytes. The latter was also mixed with 90 g/dm3 Zn in the experiments. All the runs were carried out at room temperature with 40 mV/s continuous polarization speed and with 1/s sampling rate. It was observed that nickel electrodeposition from chloride media containing 90 g/dm3 Ni started with the generation of hydrogen bubbles, entirely blocking the cathode surface. Only a slight current development was observed until the polarization potential ~ -0,8 V. The visual observation showed bubbles also formed at the anode, which may represent chlorine and/or oxygen evolution. While, in the electrodeposition of nickel with only 1 g/dm3 Ni concentration in the electrolyte, metal deposition was hardly observed, but visible hydrogen bubbles constantly blocked the cathode surface. A similar tendency was observed in the mixed-solution electrolysis cell; the initial tiny bubbles accumulated at the cathode surface more than in the pure Zn solution. The enhancement of H2 evolution indicates how nickel deposition may contribute to the loss of useful current in the process of Zn electrodeposition. The mass of nickel deposited from the mixed solutions significantly decreases as the Ni concentration decreases in the electrolyte, while the mass of deposited zinc is relatively constant. It means that the purity of the produced Zn is appreciably higher – with respect to Ni – if nickel is efficiently eliminated from the solution before electrowinning.
摘要为了解镍杂质对废酸洗液电积锌的影响,进行了镍对锌电积影响的动电位实验。采用Ni浓度为90和1 g/dm3的氯化镍溶液作为电解液。后者在实验中也加入90 g/dm3的Zn。所有实验均在室温下进行,连续极化速度为40 mV/s,采样率为1/s。结果表明,在含Ni 90 g/dm3的氯化物介质中,镍电沉积始于氢气泡的产生,氢气泡完全阻塞阴极表面。在极化电位~ -0,8 V之前,只观察到微弱的电流发展。目视观察显示,阳极也形成气泡,这可能代表氯和/或氧的释放。而电解液中Ni浓度仅为1 g/dm3时,电沉积镍时,几乎没有观察到金属沉积,但可见的氢气泡不断堵塞阴极表面。在混合溶液电解槽中也观察到类似的趋势;与纯锌溶液相比,初始气泡在阴极表面积聚较多。H2析出的增强表明镍沉积可能导致锌电沉积过程中有用电流的损失。随着电解质中Ni浓度的降低,混合溶液中沉积的镍质量显著降低,而沉积的锌质量相对恒定。这意味着,如果在电积之前有效地将镍从溶液中去除,则所产生的Zn的纯度相对于Ni要高得多。
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引用次数: 0
On the Torsional Rigidity of Orthotropic Beams with Rectangular Cross Section 矩形截面正交各向异性梁的扭转刚度研究
IF 1.6 Q1 Mathematics Pub Date : 2023-06-30 DOI: 10.21791/ijems.2023.2.3.
A. Baksa, I. Ecsedi, Á. Lengyel, Dávid Gönczi
The paper deals with the torsional rigidity of homogenous and orthotropic beam with rectangular crosssection. The torsional rigidity of the considered beam is defined in the framework of the Saint-Venant theory ofuniform torsion. Exact and approximate solutions are given to the determination of the torsional rigidity. The shapeof cross section is determined which gives maximum value of the torsional rigidity for a given cross-sectional area.The dependence of torsional rigidity as a function of the ratio shear moduli of beam is also studied.
本文研究了矩形截面均质正交各向异性梁的扭转刚度。考虑梁的扭转刚度是在圣维南均匀扭转理论的框架下定义的。给出了确定扭转刚度的精确和近似解。在给定的横截面积下,确定其扭转刚度的最大值的横截面形状。研究了扭转刚度与梁的比剪模量的关系。
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引用次数: 0
Mixing Power Requirement Determination in Agitated Drum Using Dimensional Analysis 用量纲分析确定搅拌鼓的搅拌功率要求
IF 1.6 Q1 Mathematics Pub Date : 2023-06-30 DOI: 10.21791/ijems.2023.2.9.
D. Horváth, T. Poós
The mixing of granular materials in an agitated drum can be characterized by the dimensionless power equation. The equation was created by dimensional analysis, for which the parameters affecting the mixing power requirement were collected based on the literature. The most important of these are the rotational speed, the drum loading factor, the geometric and physical properties of the mixing drum and the granular materials.  The dimensionless power equation is used to estimate with reasonable accuracy the Power number within the given range of applicability , which has been validated by measurements. From the Power number, the mixing power requirement of the mixed granular material can be calculated, which can be used as operational data for selecting the mixing motor.
颗粒物料在搅拌滚筒中的混合可以用无量纲功率方程来表征。通过量纲分析建立了方程,并在文献基础上收集了影响搅拌功率要求的参数。其中最重要的是转速、转鼓载荷系数、混合转鼓和颗粒物料的几何和物理性质。利用无量纲功率方程,在给定的适用范围内以合理的精度估计出功率数,并通过实测验证了该方法的正确性。由功率数可以计算出混合颗粒物料所需的搅拌功率,作为选择搅拌电机的操作数据。
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引用次数: 0
Teaching the Analysis of Newton’s Cooling Model to Engineering Students 对工科学生进行牛顿冷却模型分析教学
IF 1.6 Q1 Mathematics Pub Date : 2023-06-30 DOI: 10.21791/ijems.2023.2.7.
C. Kézi
To apply mathematical methods to physical or other real life problem, we have to formulate the problem in mathematical terms. It means that, we have to construct the mathematical model for the problem. Many physical problems shows the relationships between changing quantities. The rates of change are represented mathematically by derivatives. In this case the mathematical models involve equations relating an unknown function and one or more of its derivatives. These equations are the differential equations. In this article, teaching the analysis of Newton's cooling model to engineering students is presented as one of the applications of separable differential equations.
为了将数学方法应用于物理问题或其他现实生活中的问题,我们必须用数学术语来表述问题。这意味着,我们必须为这个问题建立数学模型。许多物理问题都表明了变化量之间的关系。变化率用数学上的导数表示。在这种情况下,数学模型涉及与未知函数及其一个或多个导数有关的方程。这些方程是微分方程。本文将牛顿冷却模型的分析作为可分离微分方程的应用之一,在工科学生中进行教学。
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引用次数: 0
Ultrasonic Powder Atomization for Additive Manufacturing 用于增材制造的超声粉末雾化
IF 1.6 Q1 Mathematics Pub Date : 2023-06-30 DOI: 10.21791/ijems.2023.2.8.
David Halapi, L. Varga
The following article presents a special case of metal powder production, ultrasonic metal atomization. In this case, ultrasound technology is based on the capillary wave phenomenon. We verify the suitability of the produced powders for 3D metal printing with various tests. In the case of prints with a metal powder bed fusion (PBF), the properties of the raw material of the powder are extremely important. The main results of the tests carried out in the article (SEM images, EDS composition analysis, sieve analysis) were described.
下面的文章介绍了金属粉末生产的一个特例——超声波金属雾化。在这种情况下,超声波技术是基于毛细管波现象。我们通过各种测试验证了所生产粉末的3D金属打印适用性。在使用金属粉末床熔融(PBF)打印的情况下,粉末原料的性能非常重要。介绍了本文所进行的主要测试结果(SEM图像、EDS成分分析、筛分分析)。
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引用次数: 0
use of Partial Least Squares to define the Characteristics in the Environment of Higher Education Institutions and their Effects on Entrepreneurial Academic Education, a case study: Torreon, Mexico 利用偏最小二乘法定义高校环境特征及其对创业型学术教育的影响,以墨西哥托雷昂为例
IF 1.6 Q1 Mathematics Pub Date : 2023-06-30 DOI: 10.21791/ijems.2023.2.1.
Karen Miriam González Flores
Because university incubators have a favorable effect on student’s entrepreneurial intents, Higher Education Institutions (HEIs) are essential to the delivery of entrepreneurship education. By analyzing the perceptions of students who received master diploma in management-business fields in Torreon, Mexico in 2021, the aim of the research is to identify the internal and external aspects of the HEI environment and their impact on entrepreneurial education using Partial Least Squares methodology with the help of the SmartPLS software, 156 responses from the statistical tool provided 120 responses. Three of the original hypotheses were confirmed, while four variables—two associated with HEI ecosystem external factors and two with entrepreneurial education elements—had to be removed since they were not accepted. The findings will lead to a better comprehension of the elements influencing master students' entrepreneurial perspective to create stronger relationship with elements of the HEI ecosystem.
由于高校孵化器对学生的创业意向有良好的影响,高等教育机构(HEIs)对创业教育的提供至关重要。通过分析2021年在墨西哥托雷昂获得管理-商业领域硕士学位的学生的看法,本研究的目的是在SmartPLS软件的帮助下,使用偏最小二乘方法确定高等教育环境的内部和外部方面及其对创业教育的影响,统计工具的156个回答提供了120个回答。最初的假设中有三个得到了证实,而四个变量——两个与高等教育生态系统外部因素有关,两个与创业教育因素有关——由于不被接受而不得不被删除。研究结果将有助于更好地理解影响硕士研究生创业视角的因素,从而与高等教育生态系统的要素建立更强的关系。
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引用次数: 0
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International Journal of Mathematical Engineering and Management Sciences
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