• 제목/요약/키워드: Mathematical connections

검색결과 271건 처리시간 0.023초

3축 유압 도로 시뮬레이터의 정량적 피드백 제어 시스템 설계 (Design of Quantitative Feedback Control System for the Three Axes Hydraulic Road Simulator)

  • 김진완;현동길;김영배
    • 대한기계학회논문집A
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    • 제32권3호
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    • pp.280-289
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    • 2008
  • This paper presents design of the quantitative feedback control system of the three axes hydraulic road simulator with respect to the dummy wheel for uncertain multiple input-output(MIMO) feedback systems. This simulator has the uncertain parameters such as fluid compressibility, fluid leakage, electrical servo components and nonlinear mechanical connections. This works have reproduced the random input signal to implement the real road vibration's data in the lab. The replaced $m^2$ MISO equivalent control systems satisfied the design specifications of the original $m^*m$ MIMO control system and developed the mathematical method using quantitative feedback theory based on schauder's fixed point theorem. This control system illustrates a tracking performance of the closed-loop controller with low order transfer function G(s) and pre-filter F(s) having the minimum bandwidth for parameters of uncertain plant. The efficacy of the designed controller is verified through the dynamic simulation with combined hydraulic model and Adams simulator model. The Matlab simulation results to connect with Adams simulator model show that the proposed control technique works well under uncertain hydraulic plant system. The designed control system has satisfied robust performance with stability bounds, tracking bounds and disturbance. The Hydraulic road simulator consists of the specimen, hydraulic pump, servo valve, hydraulic actuator and its control equipments

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

  • 양혁;김덕년
    • 전자공학회논문지S
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    • 제36S권8호
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    • pp.17-29
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    • 1999
  • 극궤도 위성에서의 위성간 링크를 사용하는 이리듐 시스템은 위성간 링크 통신이 핵심적인 기술이 된다. 이 시스템에서는 링크설정 면에 있어서 이웃 위성간에만 링크를 설정한다. 이는 위성간 통신을 할 동안 연결을 계속 유지해야 통신이 유지되는 단점을 가지고 있다. 제안된 새로운 시스템은 이웃 이성간 링크 뿐만 아니라 대각링크까지 허락하여 연속되는 위성간의 연결 수를 최소화하고 트래픽 부하를 중심으로써 통신 성능의 향상을 증명한다. 그리고 위성고도와 가시 위성간 거리에 따르는 최적 전개 위성 수를 계산하였다. 또한 제시한 시스템의 트래픽 파라메터와 블록킹 확률을 수학적으로 분석하여 이웃이성간 링크 방식과 성능을 비교하였다.

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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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    • 제12권3호
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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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    • 제29권5호
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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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    • 제29권4호
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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.

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

  • 김정원;방정숙;황지남
    • 한국수학교육학회지시리즈A:수학교육
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    • 제59권2호
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    • pp.147-166
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    • 2020
  • 2015 개정 수학과 교육과정에서 강조하는 역량이 제대로 구현되기 위해서는 교과서의 역할이 매우 중요하다. 본 연구에서는 초등학교 5-6학년 수학 교과서에 수학 교과 역량이 어떻게 반영되어 있는지 분석하였다. 연구 결과, 교과서에는 의사소통을 강조하는 활동 및 문항의 비율이 가장 높았고 추론, 문제 해결, 창의·융합, 태도 및 실천, 정보 처리의 순으로 드러났다. 또한 역량별 하위 요소를 분석한 결과 특정 하위 요소가 강조되어 각 역량이 구현되었음을 알 수 있으며, 교과 역량 및 교과 역량의 하위 요소의 구현이 서로 관련되어 이루어진다는 것을 발견할 수 있다. 본 연구를 통하여 교과서를 통하여 교과 역량의 실행에 대한 시사점을 제공할 수 있기를 기대한다.

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

  • 박희정;김경미;황우형
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제25권2호
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    • pp.403-430
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    • 2011
  • 본 연구에서는 고등학생 6명을 대상으로 CAS 그래핑 계산기를 활용한 수업이 대수 영역에 대한 학생들의 개념 이해에 어떤 영향을 주는지 알아보고, 협동 수업에서 학생들이 방정식, 부등식, 함수의 개념을 각각 어떻게 연결 짓는지 살펴보았다. 또한 CAS 그래핑 계산기를 활용한 수업 이후 학생들의 수학적 태도가 어떻게 변화되었는지 알아보았다. 연구 결과 그래핑 계산기는 학생들이 지필로 푼 문제를 확인하고 그 결과를 비교할 수 있도록 하며, 지필로 푼 문제에 대한 즉각적인 피드백을 제공하여 학생들이 방정식과 일차 부등식을 자기 반성적으로 학습하도록 도와주었다. 이차 부등식에서는 학생들이 기존에 암기하고 있었던 공식으로 문제를 푸는 것에 한계를 느끼게 함으로써 기존에 가지고 있었던 잘못된 개념을 수정하고 이차 함수를 통하여 이차 부등식의 근본적인 개념을 이해하도록 도와주었다. 함수에서는 함수의 정의를 여러 가지 문자와 수식을 이용하여 빠르게 파악할 수 있게 하였으며, 함수에 대한 직관적인 이해를 가능하게 하였다. 또한 그래핑 계산기의 활용은 방정식, 부등식, 함수 영역 간의 연결을 가능하게 도와주었고, 학생들에게 수학의 유용성과 실용성을 느낄 수 있게 하였다. 그리고 학생들의 수학적 태도를 긍정적으로 변화시켰다.

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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    • 제3권1호
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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.

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

  • 손태권;이광호
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제23권1호
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    • pp.1-26
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    • 2020
  • 본 연구에서는 예비교사와 경력교사가 수학 수업지도안을 읽고 이해하는 과정을 시선 추적(Eye-tracking)을 통해 분석하였다. 두 그룹의 시선 데이터를 분석한 결과, 예비 교사들은 수학 수업지도안을 경력교사에 비해 어렵게 느끼고 있었으며 선조적인 방식으로 수학 수업지도안을 읽고 이해하였다. 반면, 경력교사들은 수학 수업지도안의 흐름을 파악하기 위해 핵심 주제어들을 찾아 연결성을 만들어가는 하이퍼텍스트 읽기 전략을 활용하였으며 수학 수업모형의 핵심 영역을 방문하는 시간이 유의미하게 길었다. 이러한 결과를 바탕으로 예비교사들이 수학 수업지도안을 읽고 이해하는 역량을 지도할 때 숙고해야할 여러 시사점들을 도출하였다.

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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    • 제58권2호
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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.