• Title/Summary/Keyword: Proportional analysis

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비례식과 비례배분에 대한 초등 수학 교과서 비교 분석 (A Comparative Analysis of Proportional Expression and Proportional Distribution in Elementary Mathematics Textbooks)

  • 장혜원;박혜민;김주숙;임미인;유미경;이화영
    • 대한수학교육학회지:학교수학
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    • 제19권2호
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    • pp.229-248
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    • 2017
  • 본 연구는 초등 수학에서 비례식과 비례배분 지도 시 고려해야 할 사항에 대해 문헌고찰을 통해 알아보고, 이를 바탕으로 국내외 수학 교과서의 비례식과 비례배분 관련 내용을 종적 횡적으로 비교 분석하여 비례식과 비례배분의 적절한 지도 방안을 모색하는 것을 주요 내용으로 한다. 구체적으로 종적 분석을 위해 국내의 5차부터 2009 개정 교육과정까지의 수학 교과서를, 횡적 분석을 위해 일본, 싱가포르, 중국 수학 교과서를 연구 대상으로 선정하였다. 각각의 교과서에 제시된 비례식과 비례배분 관련 학습 요소 및 지도 순서, 용어의 정의, 개념의 도입 맥락, 도입 시 사용된 시각적 표현을 기준으로 분석을 실시하였다. 그 결과, 비례식과 비례배분 정의의 선수 학습과의 연결, 비례식과 비례배분의 도입 시 맥락과 지도 순서의 세심한 고려, 다양한 시각적 표현의 사용, 실생활 맥락 속에서 문제 해결 기회 확대의 필요 등 차기 교과서의 비례식과 비례배분 단원 구성을 위한 몇 가지 시사점을 도출하였다.

비례제어 밸브용 LPM의 특성 해석 (Characteristic Analysis of LPM for Proportional Control Valve)

  • 김성헌;이은웅;이동주;김성종;김옥환
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 B
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    • pp.891-893
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    • 2000
  • Because of linear operation by direct drive and compact system, and the free accumulation of position error, LPM is suitable for proportional control valves actuator. In this study, to develop electromagnetic proportional valves actuator we designed tooth shape of double sides LPM and suggested the driving principle based upon the excitation method, It's the magnetic structure is so complex by the cubic effect configuration that finite element analysis is required. By the 3D finite element analysis, we got the magnetic distribution of LPM and analyzed static thrust force characteristics. By this analyzation, we obtained basic data required for the practical use of driving system for the proportional control valves. Thus, considering electrical and mechanical constants we could design and manufacture double sides LPM for the proportional control valves.

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비례압력제어밸브 개발 (A Development of Proportional Pressure Control Valve)

  • 윤소남;안병규;류재섭;함영복
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.1041-1046
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    • 2004
  • A proportional pressure control valve has a nonmagnetic ring which is inserted in between a coil and plunger and it can get attraction force in proportion to input current by an influence of control cone. Therefore, a proportional pressure control valve is applied to a servo system as substitution of servo valve and an on-off solenoid valve widely because control of a high level is possible and pollution level is low. The purpose of this study is to develop domestic model of a proportional pressure control valve, and a test model was designed and manufactured through valve system analysis and finite element analysis. And comparison between results of theoretical analysis and static / dynamic characteristics test were carried out on a manufactured test model, and it was confirmed that it has excellent performance in comparison with other foreign products.

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영상적 표상이 포함된 비례 문제에서 나타난 아동들의 비례적 사고 분석 (An Analysis of Children's Proportional Reasoning in Proportional Problems with Iconic Representations)

  • 김민경
    • 한국수학교육학회지시리즈A:수학교육
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    • 제46권2호
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    • pp.141-153
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    • 2007
  • The purpose of the study is to analyze children's proportional reasoning and problem solving in proportional problems with/without iconic representations. Proportional problems include 3 tasks such as (a) without any picture, (b) with simple picture, and (c) with/without iconic representation. As a result, children didn't show any significant differences in two tasks such as (a) and (b). However, children showed better proportional reasoning with iconic representation. In addition, 'build-up expression' strategy was used mostly in solving problems and 'additive strategy' was shown as an error which students didn't make an appropriate proportional relation expression and they made a wrong additive strategy.

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비례점성.히스테리시스 감쇠계에 의한 철도차량의 실험모드해석 (Experimental Modal Analysis using Proportional Viscous.Hysteretic Damping System on the Rolling Stock)

  • 최문길;김창남;김의간
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1996년도 춘계학술대회논문집; 부산수산대학교, 10 May 1996
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    • pp.86-91
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    • 1996
  • In this study, the modal analysis is adopted for the investigation of vibratory characteristics of a rolling stock. A governing equation for this system is deverived on a condition that the rolling stock is in proportional viscous damping and proportional hysteretic damping. By applying this method a computational modal analysis software is developed. The validity and reliability of this method is verified by comparing the results for the above case and with those of a system having proportional viscous damping and a system having general viscous damping. A system that has non-linearity, an error from the calculation may occur in the analysis. In this case, we applied the piecewise linear method to estimate the modal parameters.

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성인 정상 교합자의 연조직 비율에 관한 두부 X-선 계즉학적 분석 (A PROPORTIONAL ANALYSIS OF SOFT TISSUE PROFILE IN KOREAN YOUNG ADULTS)

  • 이정화;남동석
    • 대한치과교정학회지
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    • 제24권2호
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    • pp.405-417
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    • 1994
  • The purpose of this study was to investigate proportional characteristics of soft tissue profile in Korean young adults. The sample consisted of 50 young adults(25 males and 25 females) who had pleasing profile and normal occlusion. Soft tissue proportional analysis was performed on lateral cephalograms taken in natural head position. The results were as follows : 1. Mean and standard deviation of proportional analysis were obtained. 2. Horizontal and vertical dimensions were larger in male. But facial proportion had no sexual difference except upper/lower face height (p<0.05). Upper/lower face height was larger in female than in male. 3. Vertical dimensions, except SN-ST, had high correlation with horizontal dimensions. 4. Head positioning error of natural head position was smaller than inter -individual variability of SN line.

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Failure analysis of tubes under multiaxial proportional and non-proportional loading paths

  • Mohammad Hossein Iji;Ali Nayebi
    • Steel and Composite Structures
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    • 제47권2호
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    • pp.289-296
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    • 2023
  • The failure of a thin-walled tube was studied in this paper based on three failure models. Both proportional and non-proportional loading paths were applied. Proportional loading consisted of combined tension-torsion. Cyclic non-proportional loading was also applied. It was a circular out-of-phase axial-shear stress loading path. The third loading path was a combination of a constant internal pressure and a bending moment. The failure models under study were equivalent plastic strain, modified Mohr-Coulomb (Bai-Wierzbicki) and Tearing parameter models. The elasto-plastic analysis was conducted using J2 criterion and nonlinear kinematic hardening. The return mapping algorithm was employed to numerically solve the plastic flow relations. The effects of the hydrostatic stress on the plastic flow and the stress triaxiality parameter on the failure were discussed. Each failure model under study was utilized to predict failure. The failure loads obtained from each model were compared with each other. The equivalent plastic strain model was independent from the stress triaxiality parameter, and it predicted the highest failure load in the bending problem. The modified Mohr-Coulomb failure model predicted the lowest failure load for the range of the stress triaxiality parameter and Lode's angle.

승용차 4륜 조향(4WS) 장치용 비례 압력 제어 밸브의 특성에 관한 연구 (Characteristics of the Proportional Pressure Control Valve for 4 Wheel Steering System on the Passenger Car)

  • 오인호;장지성;이일영
    • 한국자동차공학회논문집
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    • 제4권4호
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    • pp.87-96
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    • 1996
  • The proportional pressure control valve(PCV) is an essential component in the open loop controlled rear wheel steering gear of the four wheel steering(4WS) system on the passenger car. The valve should have versatile functions and higher performance. But, it is hard to find the proportional pressure control valve suitable for the 4WS system. In this paper, the determination of the valve parameters was studied by the stability discrimination and the characteristic analysis for the purpose of the development of a new PCV for the 4WS. The mathematical model of the valve was derived from the valve-cylinder system and the programme for numerical computation was developed. The transfer function of the system was obtained from the mathematical model. The characteristics of the valve were inspected through the experiment and compared to those obtained by numerical method. And then the stability discrimination of the system was done by root locus and the analysis of characteristics was done by the developed programme. From the experiment and the analysis of characteristics was done by the developed programme. From the experiment and the inspection, the appropriation of mathematical model and the usefulness of the programme were confirmed. And the parameters which might affect the performance of the valve can be determined by considering the stability discrimination, the characteristics analysis and required functions.

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본드선도를 이용한 비례전자 감압밸브의 수치해석 (Numerical Analysis of Proportional Pressure Control Valve using Bondgraph)

  • 양경욱;허정규
    • 동력기계공학회지
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    • 제12권2호
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    • pp.62-70
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    • 2008
  • The paper made a description of the method for numerical analysis and modeling of a proportional pressure control valve by bondgraph. The valve is a three port pressure regulator valve, consists of two subsystems; a proportional solenoid and a spool assembly. A purpose of this study is to analysis the dynamic characteristics of the valve using bondgraph method and to verified results that each of parameters has an effect on modeling. It considered the effect which the presence of solenoid, flow coefficient and non-linearity of resistance causes in the valve modeling. In particular, it is analyzed the effect that the solenoid interacted with modeling results and characteristics of the nonlinear resistance through orifice on the supply and discharge side of valve. Thus this paper described method to present nonlinear characteristics by bondgraph modeling method, so that we could know easily result that each parameters has an effect on the modeling.

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변위비례식 마찰댐퍼 시스템의 진동해석 (Vibration Analysis of an Amplitude Proportional Friction Damper System)

  • 박동훈;최명진
    • 한국정밀공학회지
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    • 제20권5호
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    • pp.171-179
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    • 2003
  • An Amplitude Proportional Friction Damper (APFD) is considered in order to improve the characteristics of Coulomb friction damper. The frictional force is proportional to the amplitude in APFD system and the system is non-linear as is Coulomb damper system. A free vibration analysis on the 1-DOF system has made to demonstrate the characteristics of the APFD system. The results show that APFD system has similar damping characteristics to the viscous damper. Also, the solution for the response of a base-excited system with APFD is developed through the application of a Fourier series to represent the frictional force of APFD. It is assumed that no stick-slips occur during any portion of the steady-state oscillation.