• Title/Summary/Keyword: Engineering Mathematics

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Buckling behavior of intermediate filaments based on Euler Bernoulli and Timoshenko beam theories

  • Muhammad Taj;Muzamal Hussain;Mohamed A. Khadimallah;Muhammad Safeer;S.R. Mahmoud;Zafer Iqbal;Mohamed R. Ali;Aqib Majeed;Abdelouahed Tounsi;Manzoor Ahmad
    • Advances in concrete construction
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    • v.15 no.3
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    • pp.171-178
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    • 2023
  • Cytoskeleton components play key role in maintaining cell structure and in giving shape to the cell. These components include microtubules, microfilaments and intermediate filaments. Among these filaments intermediate filaments are the most rigid and bear large compressive force. Actually, these filaments are surrounded by other filaments like microtubules and microfilaments. This network of filaments makes a layer as a surface on intermediate filaments that have great impact on buckling behavior of intermediate filaments. In the present article, buckling behavior of intermediate filaments is studied by taking into account the effects of surface by using Euler Bernoulli and Timoshenko beam theories. It is found that effects of surface greatly affect the critical buckling force of intermediate filaments. Further, it is observed that the critical buckling force is inversely proportional to the length of filament. Such types of observations are helpful for further analysis of nanofibrous in their actual environments within the cell.

FAULT DIAGNOSIS OF ROLLING BEARINGS USING UNSUPERVISED DYNAMIC TIME WARPING-AIDED ARTIFICIAL IMMUNE SYSTEM

  • LUCAS VERONEZ GOULART FERREIRA;LAXMI RATHOUR;DEVIKA DABKE;FABIO ROBERTO CHAVARETTE;VISHNU NARAYAN MISHRA
    • Journal of applied mathematics & informatics
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    • v.41 no.6
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    • pp.1257-1274
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    • 2023
  • Rotating machines heavily rely on an intricate network of interconnected sub-components, with bearing failures accounting for a substantial proportion (40% to 90%) of all such failures. To address this issue, intelligent algorithms have been developed to evaluate vibrational signals and accurately detect faults, thereby reducing the reliance on expert knowledge and lowering maintenance costs. Within the field of machine learning, Artificial Immune Systems (AIS) have exhibited notable potential, with applications ranging from malware detection in computer systems to fault detection in bearings, which is the primary focus of this study. In pursuit of this objective, we propose a novel procedure for detecting novel instances of anomalies in varying operating conditions, utilizing only the signals derived from the healthy state of the analyzed machine. Our approach incorporates AIS augmented by Dynamic Time Warping (DTW). The experimental outcomes demonstrate that the AIS-DTW method yields a considerable improvement in anomaly detection rates (up to 53.83%) compared to the conventional AIS. In summary, our findings indicate that our method represents a significant advancement in enhancing the resilience of AIS-based novelty detection, thereby bolstering the reliability of rotating machines and reducing the need for expertise in bearing fault detection.

Exploring the Exemplary STEAM Education in the U.S. as a Practical Educational Framework for Korea

  • Yakman, Georgette;Lee, Hyonyong
    • Journal of The Korean Association For Science Education
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    • v.32 no.6
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    • pp.1072-1086
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    • 2012
  • Science, Technology, Engineering, and Mathematics (STEM) education in the U.S. has been identified as a significant national reform in K-16 education and curriculum in order to prepare students for the global economy of the 21st century. Korea has been facing very similar challenges to improve science, technology and mathematics education, in particular, the affective aspect of learning science and mathematics. Science, Technology, Engineering, Arts, and Mathematics (STEAM) education has become a crucial issue in Korean education system. The major purpose of this exploratory study is to inform the exemplary framework of STEAM education in the U.S. for Korea and to provide descriptive and analytical accounts on STEAM teaching and learning as an innovative integrated convergence education. This study integrates the outcomes of research papers on STEM education and recent literature. It employs content analysis methodology qualitatively by analyzing and synthesizing the findings, conclusions, discussions, and recommendations of accumulated research works related to STEM/STEAM education. This study will help gain a stronger sense of the STEAM framework and will guide to develop the educational programs for Korea.

A Study on the Effectiveness the Blended e-Learning on Teaching and Learning of the Engineering Mathematics (블렌디드 이러닝이 공학수학 교수·학습에 미치는 효과)

  • Lee, Heonsoo
    • Journal of the Korean School Mathematics Society
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    • v.22 no.4
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    • pp.395-413
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    • 2019
  • The purpose of this study was to find out how Blended e-Learning affected the teaching and learning of engineering mathematics for engineering students. It has researched the application condition of Blended e-Learning and the students' attitude in the offline classes of students. The subject were 42 students of Junior in the Department of Mechanic Engineering in M-University participated in the study. The lecturer taught the class for the students by fact-to-face teaching at the offline. It was recorded all processes during the class, and the video was loaded at the Learning Management System(LMS). The students studied online by themselves. This study investigated the attitude of students at the offline and the Utilization of Online Data by learners through the mixed class for one semester. The results were as follows. First, Blended e-Learning applied engineering mathematics affected positively for the self-regulated and individualized learning to the students. Second, Blended e-Learning has shown a positive impact on the teaching and learning of engineering mathematics. Finally, it also had a positive effect on the class satisfaction level of students.

The Effects of Engineering Tools on Students' Math Academic Achievement and Math Learning Attitude in Middle School Mathematics Geometrical Unit (중학교 수학 기하 단원에서 공학적 도구 활용이 학생들의 수학 학업 성취도와 수학 학습 태도에 미치는 효과)

  • Park, Rae-Seong;Kwon, Jong-Kyum;Lee, Dong-Yub
    • Journal of Digital Convergence
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    • v.17 no.12
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    • pp.67-75
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    • 2019
  • This study was conducted to analyze the effects of mathematics classes using engineering tools on students' mathematics academic achievement and mathematics learning attitude, focusing on the basic figure and drawing sections of the first grade of middle school. Eighty students of first-grade at H Middle School in South Gyeongsang province were divided into two groups, taking a total of six weeks of classes using engineering tools(Algeomath) and traditional tools, and covariate analysis(ANCOVA) was used to analyze students' mathematics academic achievements and changes in mathematical learning attitude. The analysis found that classes using engineering tools were effective in students' mathematics academic achievements and attitude of learning math. Based on the results of the study, the necessity of utilizing various engineering tools in the future secondary school math class and the prospect and implications of the classes were discussed.

Recycling of Sintered Nd-Fe-B Magnets Doped with PrNd Nanoparticles

  • Zhang, Xuefeng;Liu, Fei;Liu, Yanli;Ma, Qiang;Li, Yongfeng;Zhao, Qian;Wang, Gaofeng;Li, Zhubai
    • Journal of Magnetics
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    • v.20 no.2
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    • pp.97-102
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    • 2015
  • The waste of sintered Nd-Fe-B magnets was recycled using the method of dopingPrNd nanoparticles. The effect of PrNd nanoparticle doping on the magnetic properties of the regenerated magnets has been studied. As the content of the PrNd nanoparticles increases, the coercivity increases monotonically, whereas both the remanence and the maximum energy products reach the maximum values for 4 wt% PrNd doping. Microstructural observation reveals that the appropriate addition of PrNd nanoparticles improves the magnetic properties and refines the grain. Domain investigation shows that the self-pinning effect of the rare earth (Re)-rich phase is enhanced by PrNd nano-particle doping. Compared to the magnet with 4 wt% PrNd alloy prepared using the dual-alloy method, the regenerated magnet doped with the same number of PrNd nanoparticles exhibits better magnetic properties and a more homogeneous microstructure. Therefore, it is concluded that PrNd nanoparticle doping is an efficient method for recycling the leftover scraps of Nd-Fe-B magnets.

To Analyze the Trend of Integrated Education from MST to STEAM on Mathematics Education (수학교육 관점에서 본 MST 교육에서 STEAM 교육까지 통합교육의 흐름 분석)

  • Kim, In Kyung
    • Journal for History of Mathematics
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    • v.29 no.1
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    • pp.45-69
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    • 2016
  • In this study, we investigate integrated educations as an alternative educational method. I look around the developments of the integrated educations from MST education through STEAM education, especially in mathematics education. I analyzed integrated educations such as MST, STS, STEM, STEAM educations and compare them to each other, in mathematics education. And I discuss how to apply STEAM education to Korean mathematics education. I suggest a proper integrated education, in particular, STEAM education, as one that is suitable for Korean mathematics education.

Learning High Mathematics on MathCad Base

  • Aripov M. M.;Tashpulatov F. A.
    • Research in Mathematical Education
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    • v.9 no.3 s.23
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    • pp.269-273
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    • 2005
  • Nowadays application of modem achievements of information technologies in science, engineering and education is usual phenomenon. Application of these technologies allows easily creating new methods of learning of mathematics. More of new methods of creation of multimedia electronic manuals on high mathematics are founded to application of multimedia and communication opportunities of the computer. But application only multimedia and communication opportunities of the computer at creation of multimedia electronic manuals on high mathematics is insufficient to elimination of 'gap' between training and studying high mathematics. So, we offer a new way of the decision of this problem: creation of a multimedia electronic manual on high mathematics with built-in a mathematical environment MathCad in the national language.

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EXISTENCE OF SOLUTIONS FOR DOUBLE PERTURBED IMPULSIVE NEUTRAL FUNCTIONAL EVOLUTION EQUATIONS

  • Vijayakumar, V.;Sivasankaran, S.;Arjunan, M. Mallika
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.15 no.4
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    • pp.253-265
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    • 2011
  • In this paper, we study the existence of mild solutions for double perturbed impulsive neutral functional evolution equations with infinite delay in Banach spaces. The existence of mild solutions to such equations is obtained by using the theory of the Hausdorff measure of noncompactness and Darbo fixed point theorem, without the compactness assumption on associated evolution system. An example is provided to illustrate the theory.