• Title/Summary/Keyword: Mathematical Connections

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Mathematical Modeling and Performance Analysis of Polar Orbit Mobile Satellite Communication System Utilizing Both Neighboring and Diagonal Link (대각 위성간 링크를 허용하는 극궤도 이동위성통신 시스템의 수학적 모델링 및 성능분석)

  • Yang, Hyuk;Kim, Doug-Nyun
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.8
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    • pp.17-29
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    • 1999
  • Inter-Satellite Links(ISL) technique in the Polar Orbit Satellite plays the key role in the communication methods in IRIDIUM system, where the ISL is commonly established between neighbor satellites. The system has major drawbacks in maintaining the multi-hopping link connectivities while the satellite nodes are communicating each other. The proposed system is newly designed to allow diagonal link connections between the satellites and shows how it does improve the performance. The optimized number of satellites in the terms of their altitudes and visible distance are calculated. The traffic parameters and the probability of blocking are analyzed to compare the visible satellite link method with the neighbor link method mathermatically.

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Nonlinear Identification of Electronic Brake Pedal Behavior Using Hybrid GMDH and Genetic Algorithm in Brake-By-Wire System

  • Bae, Junhyung;Lee, Seonghun;Shin, Dong-Hwan;Hong, Jaeseung;Lee, Jaeseong;Kim, Jong-Hae
    • Journal of Electrical Engineering and Technology
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    • v.12 no.3
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    • pp.1292-1298
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    • 2017
  • In this paper, we represent a nonlinear identification of electronic brake pedal behavior in the brake-by-wire (BBW) system based on hybrid group method of data handling (GMDH) and genetic algorithm (GA). A GMDH is a kind of multi-layer network with a structure that is determined through training and which can express nonlinear dynamics as a mathematical model. The GA is used in the GMDH, enabling each neuron to search for its optimal set of connections with the preceding layer. The results obtained with this hybrid approach were compared with different nonlinear system identification methods. The experimental results showed that the hybrid approach performs better than the other methods in terms of root mean square error (RMSE) and correlation coefficients. The hybrid GMDH/GA approach was effective for modeling and predicting the brake pedal system under random braking conditions.

Design of multiphase carbon fiber reinforcement of crack existing concrete structures using topology optimization

  • Nguyen, Anh P.;Banh, Thanh T.;Lee, Dongkyu;Lee, Jaehong;Kang, Joowon;Shin, Soomi
    • Steel and Composite Structures
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    • v.29 no.5
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    • pp.635-645
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    • 2018
  • Beam-column joints play a significant role in static and dynamic performances of reinforced concrete frame structures. This study contributes a numerical approach of topologically optimal design of carbon fiber reinforced plastics (CFRP) to retrofit existing beam-column connections with crack patterns. In recent, CFRP is used commonly in the rehabilitation and strengthening of concrete members due to the remarkable properties, such as lightweight, anti-corrosion and simplicity to execute construction. With the target to provide an optimal CFRP configuration to effectively retrofit the beam-column connection under semi-failure situation such as given cracks, extended finite element method (X-FEM) is used by combining with multi-material topology optimization (MTO) as a mechanical description approach for strong discontinuity state to mechanically model cracked structures. The well founded mathematical formulation of topology optimization problem for cracked structures by using multiple materials is described in detail in this study. In addition, moved and regularized Heaviside functions (MRHF), that have the role of a filter in multiple materials case, is also considered. The numerical example results illustrated in two cases of beam-column joints with stationary cracks verify the validity, benefit and supremacy of the proposed method.

Monitoring and vibration control of a fluid catalytic cracking unit

  • Battista, Ronaldo C.;Varela, Wendell D.;Gonzaga, Igor Braz N.
    • Smart Structures and Systems
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    • v.29 no.4
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    • pp.577-588
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    • 2022
  • Oil refineries' Fluid Catalytic Cracking Units (FCCU) when in full operation may exhibit strong fluid dynamics caused by turbulent flow in the piping system that may induce vibrations in other mechanical and structural components of the Unity. This paper reports on the experimental-theoretical-computational program performed to get the vibration properties and the dynamic response amplitudes to find out alternative solutions to attenuate the excessive vibrations that were causing fatigue fractures in components of the bottle like reactor-regenerator of an FCC unit in operation in an existing oil refinery in Brazil. Solutions to the vibration problem were sought with the aid of a 3D finite element model calibrated with the results obtained from experimental measurements. A short description of the found solutions is given and their effectiveness are shown by means of numerical results. The solutions were guided by the concepts of structural stiffening and dynamic control performed by a nonlinear pendulum controller whose mechanical design was based on parameters determined by means of a parametric study carried out with 2D and 3D mathematical models of the coupled pendulum-structure system. The effectiveness of the proposed solutions is evaluated in terms of the fatigue life of critical welded connections.

An analysis of mathematics competencies in elementary mathematics textbooks for fifth and sixth grade (초등학교 5-6학년군 수학 교과서에 제시된 교과 역량 분석)

  • Kim, Jeong-Won;Pang, Jeong-Suk;Hwang, Ji-Nam
    • The Mathematical Education
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    • v.59 no.2
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    • pp.147-166
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    • 2020
  • Textbooks are important resources in support of teaching and learning mathematics competencies which are emphasized in the most recently revised mathematics curriculum. This study analyzed how six mathematics competencies and their sub-elements are implemented in the mathematics textbooks for the fifth and sixth grades. A total of 465 activities or items in the targeted textbooks were analyzed. The findings of this study showed that both the communication competence and the reasoning competence were the most frequent competencies, followed by the problem solving competence. In contrast, the other three competences (i.e., creativity and integration, attitude and practice, and information processing) were less popular. Detailed analyses of sub-elements according to each competence revealed that one or two specific sub-elements were emphasized within a competence. Whereas "expressing one's idea" was the most prevalent sub-element in the communication competence, both "analyzing mathematical facts" and "observation and conjecture" were the most frequent in the reasoning practice. Specific sub-elements were jointly implemented within or across competences. "External connections of mathematics and integration" in the creativity and integration competence was carried out in relation to "recognition of values" in the attitude and practice competence. This paper also included some examples of activities or items showing how specific sub-elements of each competence were reflected on. This study is expected to provide implications on how to implement mathematics competencies throughout the textbooks.

A Case Study on Students' Mathematical Concepts of Algebra, Connections and Attitudes toward Mathematics in a CAS Environment (CAS 그래핑 계산기를 활용한 수학 수업에 관한 사례 연구)

  • Park, Hui-Jeong;Kim, Kyung-Mi;Whang, Woo-Hyung
    • Communications of Mathematical Education
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    • v.25 no.2
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    • pp.403-430
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    • 2011
  • The purpose of the study was to investigate how the use of graphing calculators influence on forming students' mathematical concept of algebra, students' mathematical connection, and attitude toward mathematics. First, graphing calculators give instant feedback to students as they make students compare their written answers with the results, which helps students learn equations and linear inequalities for themselves. In respect of quadratic inequalities they help students to correct wrong concepts and understand fundamental concepts, and with regard to functions students can draw graphs more easily using graphing calculators, which means that the difficulty of drawing graphs can not be hindrance to student's learning functions. Moreover students could understand functions intuitively by using graphing calculators and explored math problems volunteerly. As a result, students were able to perceive faster the concepts of functions that they considered difficult and remain the concepts in their mind for a long time. Second, most of students could not think of connection among equations, equalities and functions. However, they could understand the connection among equations, equalities and functions more easily. Additionally students could focus on changing the real life into the algebraic expression by modeling without the fear of calculating, which made students relieve the burden of calculating and realize the usefulness of mathematics through the experience of solving the real-life problems. Third, we identified the change of six students' attitude through preliminary and an ex post facto attitude test. Five of six students came to have positive attitude toward mathematics, but only one student came to have negative attitude. However, all of the students showed positive attitude toward using graphing calculators in math class. That's because they could have more interest in mathematics by the strengthened and visualization of graphing calculators which helped them understand difficult algebraic concepts, which gave them a sense of achievement. Also, students could relieve the burden of calculating and have confidence. In a conclusion, using graphing calculators in algebra and function class has many advantages : formulating mathematics concepts, mathematical connection, and enhancing positive attitude toward mathematics. Therefore we need more research of the effect of using calculators, practical classroom materials, instruction models and assessment tools for graphing calculators. Lastly We need to make the classroom environment more adequate for using graphing calculators in math classes.

Efficient Peer-to-Peer Lookup in Multi-hop Wireless Networks

  • Shin, Min-Ho;Arbaugh, William A.
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.3 no.1
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    • pp.5-25
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    • 2009
  • In recent years the popularity of multi-hop wireless networks has been growing. Its flexible topology and abundant routing path enables many types of applications. However, the lack of a centralized controller often makes it difficult to design a reliable service in multi-hop wireless networks. While packet routing has been the center of attention for decades, recent research focuses on data discovery such as file sharing in multi-hop wireless networks. Although there are many peer-to-peer lookup (P2P-lookup) schemes for wired networks, they have inherent limitations for multi-hop wireless networks. First, a wired P2P-lookup builds a search structure on the overlay network and disregards the underlying topology. Second, the performance guarantee often relies on specific topology models such as random graphs, which do not apply to multi-hop wireless networks. Past studies on wireless P2P-lookup either combined existing solutions with known routing algorithms or proposed tree-based routing, which is prone to traffic congestion. In this paper, we present two wireless P2P-lookup schemes that strictly build a topology-dependent structure. We first propose the Ring Interval Graph Search (RIGS) that constructs a DHT only through direct connections between the nodes. We then propose the ValleyWalk, a loosely-structured scheme that requires simple local hints for query routing. Packet-level simulations showed that RIGS can find the target with near-shortest search length and ValleyWalk can find the target with near-shortest search length when there is at least 5% object replication. We also provide an analytic bound on the search length of ValleyWalk.

An Analysis of Gaze Differences between Pre-service Teachers and Experienced Teachers on Mathematics Lesson Plan (예비교사와 경력교사의 수학 수업지도안에 대한 시선 차이 분석)

  • Son, Taekwon;Lee, Kwang-Ho
    • Education of Primary School Mathematics
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    • v.23 no.1
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    • pp.1-26
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    • 2020
  • The purpose of this study was to analyze the process of reading and understanding mathematics lesson plan through eye-tracking to suggest implications of pre-service teacher education. As a result of the analysis, the pre-service teachers felt that the mathematics lesson plans were more difficult than the experienced teacher, they read and understood the mathematics lesson plan in sequential order. Experienced teachers, on the other hand, used a hypertext reading strategy to find key topics and make connections in order to grasp the flow of instruction in mathematics lesson plan. Based on these results, several suggestions were drawn for pre-service teachers when teaching their ability to read and understand mathematics lesson plan.

Vibration analysis and FE model updating of lightweight steel floors in full-scale prefabricated building

  • Petrovic-Kotur, Smiljana P.;Pavic, Aleksandar P.
    • Structural Engineering and Mechanics
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    • v.58 no.2
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    • pp.277-300
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    • 2016
  • Cold-formed steel (CFS) sections are becoming an increasingly popular solution for constructing floors in residential, healthcare and education buildings. Their reduced weight, however, makes them prone to excessive vibrations, increasing the need for accurate prediction of CFS floor modal properties. By combining experimental modal analysis of a full-scale CFS framed building and its floors and their numerical finite element (FE) modelling this paper demonstrates that the existing methods (based on the best engineering judgement) for predicting CFS floor modal properties are unreliable. They can yield over 40% difference between the predicted and measured natural frequencies for important modes of vibration. This is because the methods were adopted from other floor types (e.g., timber or standard steel-concrete composite floors) and do not take into account specific features of CFS floors. Using the adjusted and then updated FE model, featuring semi-rigid connections led to markedly improved results. The first four measured and calculated CFS floor natural frequencies matched exactly and all relevant modal assurance criterion (MAC) values were above 90%. The introduction of flexible supports and more realistic modelling of the floor boundary conditions, as well as non-structural $fa{\c{c}}ade$ walls, proved to be crucial in the development of the new more successful modelling strategy. The process used to develop 10 identified and experimentally verified FE modelling parameters is based on published information and parameter adjustment resulting from FE model updating. This can be utilised for future design of similar lightweight steel floors in prefabricated buildings when checking their vibration serviceability, likely to be their governing design criterion.

Vibration-based structural health monitoring for offshore wind turbines - Experimental validation of stochastic subspace algorithms

  • Kraemer, Peter;Friedmanna, Herbert
    • Wind and Structures
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    • v.21 no.6
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    • pp.693-707
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    • 2015
  • The efficiency of wind turbines (WT) is primarily reflected in their ability to generate electricity at any time. Downtimes of WTs due to "conventional" inspections are cost-intensive and undesirable for investors. For this reason, there is a need for structural health monitoring (SHM) systems, to enable service and maintenance on demand and to increase the inspection intervals. In general, monitoring increases the cost effectiveness of WTs. This publication concentrates on the application of two vibration-based SHM algorithms for stability and structural change monitoring of offshore WTs. Only data driven, output-only algorithms based on stochastic subspace identification (SSI) in time domain are considered. The centerpiece of this paper deals with the rough mathematical description of the dynamic behavior of offshore WTs and with the basic presentation of stochastic subspace-based algorithms and their application to these structures. Due to the early stage of the industrial application of SHM on offshore WT on the one side and the required confidentiality to the plant manufacturer and operator on the other side, up to now it is not possible to analyze different isolated structural damages resp. changes in a systematic manner, directly by means of in-situ measurement and to make these "acknowledgements" publicly available. For this reason, the sensitivity of the methods for monitoring purposes are demonstrated through their application on long time measurements from a 1:10 large scale test rig of an offshore WT under different conditions: undamaged, different levels of loosened bolt connections between tower parts, different levels of fouling, scouring and structure inclination. The limitation and further requirements for the approaches and their applicability on real foundations are discussed along the paper.