• Title/Summary/Keyword: 분수 모델

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Identification of Fractional-derivative-model Parameters of Viscoelastic Materials Using an Optimization Technique (최적화 기법을 이용한 점탄성물질의 분수차 미분모델 물성계수 추정)

  • Kim, Sun-Yong;Lee, Doo-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.12 s.117
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    • pp.1192-1200
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    • 2006
  • Viscoelastic damping materials are widely used to reduce noise and vibration because of its low cost and easy implementation, for examples, on the body structure of passenger cars, air planes, electric appliances and ships. To design the damped structures, the material property such as elastic modulus and loss factor is essential information. The four-parameter fractional derivative model well describes the dynamic characteristics of the viscoelastic damping materials with respect to both frequency and temperature. However, the identification procedure of the four-parameter is very time-consuming one. In this study a new identification procedure of the four-parameters is proposed by using an FE model and a gradient-based numerical search algorithm. The identification procedure goes two sequential steps to make measured frequency response functions(FRF) coincident with simulated FRFs: the first one is a peak alignment step and the second one is an amplitude adjustment step. A numerical example shows that the proposed method is useful in identifying the viscoelastic material parameters of fractional derivative model.

A Study on the Kinematic Characteristics of the Ocean High Elevation Fountain (해상용 고사분수의 운동학적 특성 연구)

  • Lee, Choon-Tae
    • The KSFM Journal of Fluid Machinery
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    • v.14 no.6
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    • pp.85-90
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    • 2011
  • Recently, many high elevation fountain are constructed for the beauty of beach landscape. Typically, a fountain has several nozzles that shoots water upwards or at an angle into the air. But unfortunately, the weather and wind can cause the water soak nearby walkways and pedestrians. Therefore, in this study, a mathematical model of high elevation fountain is suggested to predict the actual travelling distance of water droplet by the wind. To simplify our treatment of the water flow and to avoid issues such as fluid dynamics and surface tension, we have adopted a particle model for the fountain water. The particles are assumed not to interact with each other, and do not deform during their flight through air.

지하수 모델의 주요 수문 요소에 대한 민감도 분석 사례 연구

  • Na Han-Na;Gu Min-Ho;Cha Jang-Hwan;Kim Yong-Je
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2006.04a
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    • pp.59-63
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    • 2006
  • 지하수 모델 개발은 모델의 목적 설정, 자료수집, 개념모델의 수립, 모델 설계, 모델 보정 및 민감도 분석, 예측, 결과제시, 사후검사의 순으로 수행된다. 본 연구의 목표는 신뢰성 있는 지하수 모델 개발을 위해 주요 수문요소(hydraulic features)들을 개념화하는 단계에서 부딪히게 되는 문제점들을 국내의 지하수 환경에 비추어 고찰하였고, 하천 및 지하수 분수령에 대한 경계조건 설정, 암반층의 하부 경계면 설정 등과 같은 수문요소들이 내포하는 불확실성을 논의하였다. 또한 시범지역의 지하수 모델에 대한 민감도 분석을 통하여 이들이 모델 결과에 미치는 영향을 정량적으로 제시하였다.

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Quantitative Microbial Risk Assessment on Legionella Infection in Children Playing in Interactive Fountains (바닥분수에서 물놀이를 하는 아동들의 Legionella균 감염 위해도 분석)

  • Lee, In-Sup;Zo, Young-Gun
    • Korean Journal of Microbiology
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    • v.49 no.4
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    • pp.360-368
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    • 2013
  • Recently interactive water fountains are gaining popularity in making public facilities in South Korea. The total number of interactive fountains is rapidly growing at the rate of >50% annually. In this study, we performed quantitative microbial risk assessment to estimate infection risks in children by Legionella spp. while playing in interactive fountains. The exposure dose for a given concentration of Legionella in water was calculated using water-aerosol partition rate of Legionella, exposure duration, inhalation rate, and deposit rate of aerosols in the lungs following inhalation. The dose was converted to infection risk by using the dose-response function developed for L. pneumophila. High weight and/or old children, i.e., 12-year children, running around in fountains were the highest risk group by showing >0.05 infection probability for fountain waters containing ${\geq}10^4$ CFU/L Legionella. The result supported the current guideline by Korea Centers for Disease Control and Prevention, which permits use of water with < $10^3$ CFU/L Legionella cells for all purposes. However, the results still warrant further evaluation of the guideline to accommodate risks for children because the dose-response relationship in the model was developed for healthy adults. Further risk assessment studies need to be conducted by employing dose-response model for children who generally carries weaker immune system than adults.

An Analysis of the Addition and Subtraction of Fractions in Elementary Mathematics Instructional Materials (분수의 덧셈과 뺄셈에 관한 초등학교 수학과 교과용 도서 분석)

  • Pang, Jeong-Suk;Lee, Ji-Young
    • Journal of Elementary Mathematics Education in Korea
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    • v.13 no.2
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    • pp.285-304
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    • 2009
  • The operations of fractions are the main contents of number and operations in the elementary mathematics curriculum. They are also difficult for students to understand conceptually. Nevertheless, there has been little study on the addition and subtraction of fractions. Given this, this paper explored the connection between the national mathematics curriculum and its concomitant textbooks, the adequacy of when to teach, and the method of constructing each unit to teach addition and subtraction of fractions. This paper then analyzed elementary mathematics textbooks and workbooks by three parts aligned with the general instructional flow: 'introduction', 'activity', and, 'exercise'. First, it was analyzed with regard to the introduction part whether the word problems of textbooks might reflect on students' daily lives as intended, how different meanings of operations would be expected to be taught, and how the subsequent activities were connected with the original word problems. Second, the main analysis of activity part of the textbooks dealt with how to use concrete or iconic models to promote students' conceptual understanding of operations and how to formalize the calculation methods and principles with regard to addition and subtraction of fractions. Third, the analysis of the part of exercise in the textbooks and workbooks was conducted with regard to problem types and meanings of operations. It is expected that the issues and suggestions stemming from this analysis of current textbooks and workbooks are informative in developing new instructional materials aligned to the recently revised mathematics curriculum.

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Reconsideration of Teaching Addition and Subtraction of Fractions with Different Denominators: Focused on Quantitative Reasoning with Unit and Recursive Partitioning (이분모분수의 덧셈과 뺄셈 교육 재고 - 단위 추론 및 재귀적 분할을 중심으로 -)

  • Lee, Jiyoung;Pang, JeongSuk
    • School Mathematics
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    • v.18 no.3
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    • pp.625-645
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    • 2016
  • This study clarified the big ideas related to teaching addition and subtraction of fractions with different denominators based on quantitative reasoning with unit and recursive partitioning. An analysis of this study urged us to re-consider the content related to the addition and subtraction of fraction. As such, this study analyzed textbooks and teachers' manuals developed from the fourth national mathematics curriculum to the most recent 2009 curriculum. In addition and subtraction of fractions with different denominators, it must be emphasized the followings: three-levels unit structure, fixed whole unit, necessity of common measure and recursive partitioning. An analysis of this study showed that textbooks and teachers' manuals dealt with the fact of maintaining a fixed whole unit only as being implicit. The textbooks described the reason why we need to create a common denominator in connection with the addition of similar fractions. The textbooks displayed a common denominator numerically rather than using a recursive partitioning method. Given this, it is difficult for students to connect the models and algorithms. Building on these results, this study is expected to suggest specific implications which may be taken into account in developing new instructional materials in process.

Estimation of Variability for Complex Modulus of Rubber Considering Temperature and Material Uncertainties (온도와 물성의 불확실성을 고려한 고무의 복소계수 변동성 평가)

  • Lee, Doo-Ho;Hwang, In-Sung
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.362-365
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    • 2011
  • 본 논문에서는 통계적인 방법을 이용하여 점탄성 제진재인 합성고무의 물성에 대한 변동성을 평가하는 방법을 제안하고 측정데이터를 이용하여 합성고무에 대한 평가를 수행하였다. 고무 물성의 불확실성 인자로는 외기 온도의 변화와 실험 데이터의 오차 및 점탄성 제진모델의 오차를 고려하였다. 고무는 분수차 미분 모델로 표현되었고 온도의 영향은 비선형 이동계수모델을 도입하여 복소계수로 나타내어 동강성과 감쇠를 표현하였다. 이러한 물성모델을 바탕으로 고무에 대한 물성 실험데이터와 물성계수의 확률밀도함수 사이에 정의된 우도함수를 최대화하는 통계적 보정방법을 이용하여 물성모델의 물질계수들에 대한 변동성을 추정하였다.

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A Geomorphic Surface Analysis Using Remote Sensing in DMZ of Chugaryeong Rift Valley, Central Korea (위성영상을 이용한 추가령열곡 DMZ 지역의 지형면 분석)

  • LEE, Min-Boo
    • Journal of The Geomorphological Association of Korea
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    • v.17 no.1
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    • pp.1-14
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    • 2010
  • This paper deals with the classification and distribution of geomorphic surfaces and analysis on effects of geomorphic processes on the landforms in the inaccessable DMZ (Demilitarized Zone) to Wonsan Bay of East Sea coast of Chugaryeong Rift Valley, Central Korea. DEM (Digital Elevation Model) and Landsat images are used for the above anlaysis. The geomorphic surfaces are classified by TPI (Topographical Position Index) for the analysis of the convexity and concavity calculated using topographical elements such as elevation, steepness, and relief. In the Chugayreong Valley, 10 geomorphic surfaces are classified as steep valley, shallow valley, upland drainage, U-shaped valley, plain, open slope, upper slope, local ridge, midslope ridge, and high ridge. Zonal Statistics presents average characteristics of geomorphological processes of surfaces by the relationships between bedrock and relief, surface and relief, and between surface and NDVI. So, these analysis can help to understand geomorphological process such as dissection of lava plateau and watershed divide evolution.

An Analysis of Students' Mathematical Communication Competency focused on Fraction Division (분수의 나눗셈에 대한 초등학생의 수학적 의사소통 능력 분석)

  • Pang, Jeong Suk;Kim, Yoon Young;Sunwoo, Jin
    • Education of Primary School Mathematics
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    • v.25 no.2
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    • pp.179-195
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    • 2022
  • Mathematical communication competency, one of the six mathematical competencies emphasized in the latest mathematics curriculum, plays an important role both as a means and as a goal for students to learn mathematics. Therefore, it is meaningful to find instructional methods to improve students' mathematical communication competency and analyze their communication competency in detail. Given this background, this study analyzed 64 sixth graders' mathematical communication competency after they participated in the lessons of fraction division emphasizing mathematical communication. A written assessment for this study was developed with a focus on the four sub-elements of mathematical communication (i.e., understanding mathematical representations, developing and transforming mathematical representations, representing one's ideas, and understanding others' ideas). The results of this study showed that students could understand and represent the principle of fraction division in various mathematical representations. The students were more proficient in representing their ideas with mathematical expressions and solving them than doing with visual models. They could use appropriate mathematical terms and symbols in representing their ideas and understanding others' ideas. This paper closes with some implications on how to foster students' mathematical communication competency while teaching elementary mathematics.

수치모델 자료를 이용한 영동지방의 대설사례 특성 분석

  • Kim, Do-Wan;Jeong, Hyo-Sang;Ryu, Chan-Su
    • 한국지구과학회:학술대회논문집
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    • 2010.04a
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    • pp.74-76
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    • 2010
  • 영동지방은 서쪽으로는 태백산맥이 남북으로 위치해 있고 동쪽으로 동해와 인접해 있는 지리적인 위치로 전 계절에 걸쳐 지역 특성에 따른 국지적인 기상 현상이 많이 발생하고 있다. 특히, 대설은 영동지방의 기후 특징 중 대표적이라 할 수 있다. 대설 일수가 많고 강설량이 많은 영동지방의 강릉과 속초, 그리고 울릉도는 연 강수량에서 겨울철(12월~2월) 강수량이 각각 약 10%와 20% 이상을 차지하고 있는데 이는 우리나라 다른 지역의 5% 내외에 비하면 매우 높은 것이다. 이 지역의 강설 특징은 좁은 지리적 범위에 국한되어 나타나는 좁고 강한 강수역과 지역적으로 커다란 변화를 보이는 적설량과 강설 일수이다. 해안선으로부터 산맥의 분수계까지의 거리가 중요한 역할을 하고 있으며, 이러한 복잡한 지역에서의 강설의 발생과 강설량의 분포를 이해하기 위해서는 강설의 패턴을 분류하여 연구하는 것이 매우 중요하다. 본 연구에서는 cP 확장 시 영동지방의 강설 패턴을 하층 대류권의 바람장에 따라 산악 강설 패턴, 한기-해안 강설 패턴, 난기-해안 강설 패턴으로 분류하였다. 또한, 각 강설 패턴에 대한 종관적인 대기구조의 특성을 파악한 후 3차원 분석시스템을 이용하여, 2008년 12월 21일부터 22일까지 영동지방에 내린 대설을 한기-해안 강설 패턴으로 분류하고 분석하였다.

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