• 제목/요약/키워드: Measurement Geometry

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The Development of the Components of the Length Measurement Concept in the Procedure of Measurement Using a Ruler

  • Antic, Milica D.;Dokic, Olivera J.
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제22권4호
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    • pp.261-282
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    • 2019
  • The research related to testing pupils' achievement in the field of Measurement and Measure in initial teaching of geometry points to an insufficient adoption of the basic components of the length measurement concept among pupils. In order to discover the cause, we looked at the basic components on which the procedure of measuring length using a ruler is based, highlighted the possibilities of introducing the procedure in measuring length, and determined pupils' achievement during the procedure of measuring length using a ruler. The research sample consisted of 145 pupils, out of which 72 were the 2nd grade pupils and 73 were the 4th grade pupils. A descriptive method was applied in the research. The technique we used was testing, and for the statistical data processing we used a χ2 test. The results of the research show that, when drawing a straight line of a given length using a ruler, there is no statistical difference in achievement between the 2nd and 4th grade pupils, nor in the pupils' knowledge regarding drawing a ruler independently, while drawing a straight line of a given length using a "broken" ruler 4th grade pupils are statistically better. The results of the research indicate that pupils' achievement is better in doing standard tasks than in non-standard ones, given that the latter require conceptual knowledge. The components of the concept of length measurement using ruler have not been sufficiently developed yet, and these include: zero-point, partitioning a measured object in a series of consecutive measurement units and their iteration. We shed more light on the critical stage in the procedure of length measurement - the transition from non-standard to standard units and the formation of the length measurement scale. For further research, we propose to look at the formation of the concept of length measurement using the ruler through all its components and their inclusion in the mathematics curriculum, as well as examining the correlation of pupils' achievement in the procedure of measuring length with their achievement in measuring area (and volume).

확장 칼만필터를 이용한 궤도틀림 트롤리의 운동학적 모형화 (Kinematic Modeling of a Track Trolley Using Extended Kalman Filter)

  • 이준석;최일윤;김순희;엄주환
    • 한국철도학회논문집
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    • 제18권5호
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    • pp.447-456
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    • 2015
  • 본 연구에서는 궤도틀림 측정용 트롤리의 사용성을 증진하기 위한 방편의 하나로 트롤리의 정지시 뿐만 아니라 이동시 계측방안과 이에 따른 계측오차의 최소화 방안에 대하여 논의하였다. 이를 위하여 트롤리의 완화곡선 및 원곡선내 주행에 따른 궤도틀림 측정의 정밀도를 향상시키기 위한 운동학적 관계식을 새롭게 제안하였으며 비선형 확장 칼만필터를 도입하여 계측오차를 최소화하였다. 제안한 모형의 적용성 파악을 위하여 이론적인 궤도상태를 가정한 후 이산형 및 연속형 궤도틀림 측정에 따르는 표준편차를 산정하였으며 이 결과, 제안한 모형의 효용성을 입증하였다. 또한 기존 궤도 틀림 모형과의 비교를 통해 제안한 운동학적 관계식의 우월성을 입증하였다.

Turbine Blading Performance Evaluation Using Geometry Scanning and Flowfield Prediction Tools

  • Zachos, Pavlos K.;Pappa, Maria;Kalfas, Anestis I.;Mansour, Gabriel;Tsiafis, Ioannis;Pilidis, Pericles;Ohyama, Hiroharu;Watanabe, Eiichiro
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2008년 영문 학술대회
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    • pp.89-96
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    • 2008
  • This paper investigates the effect of blade deformation, caused by manufacturing inaccuracies, on the performance of a 2-stage axial steam turbine. A high fidelity 3D coordinate Measurement Machine has been employed to obtain the exact geometrical model of the blades. A Streamline Curvature solver was used to predict the overall performance of the turbine. During the manufacturing process of the casts and of the blades themselves, several types of errors can occur which lead to a different geometry from that envisaged by the designer. The main objective of this study is to investigate the effect of those errors on the performance of a 2-stage experimental axial steam turbine. A high fidelity measurement of the actual geometry of both stator and rotor blades has been carried out, using a 3D Coordinate Measurement Machine. The cross sections of the blades obtained by the measurement were compared with those produced by the design process to evaluate the change in blade inlet/exit angles. In addition, the geometrical deviations from the initial design have been subjected to a statistical study in order to locate the nature of the error. The actual(measured) model has been used as input into a Streamline Curvature solver to evaluate its performance. Finally, a comparison with the performance plots of the original geometry has been carried out. A measurable change of efficiency as well as in the total power delivered by the turbine was found. This suggests that the accumulated error caused during the manufacturing procedure plays a significant role in the overall performance of the machine by making it less efficient by more than 1%. Reverse engineering techniques are proposed to predict and alleviate these errors leading thereby to a final design of each stage with improved performance.

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오일레스 복합계 베어링재의 최대허용 PV값 측정에 관한 실험적 고찰 (An Experimental Analysis on the Maximum Allowable PV Value of Oilless Composite Bearing Materials)

  • 공호성;윤의성;전기수;송광호
    • Tribology and Lubricants
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    • 제11권1호
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    • pp.27-36
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    • 1995
  • Maximum allowable PV values of oilless composite bearing materials (70% epoxy-resin/30% Graphite) were measured and compared at various types of test rigs that have different contact geometry and the operating conditions. Test results showed that material failure was mainly characterized by the sharp increase in both coefficient of friction and surface temperature, and different PV values were measured under different Contact geometry. The discrepancy in measurement of PV values was analyzed in the light of theoretical frictional heating analysis. Results show that surface temperature rise depends on its contact geometry, and PV values could be overestimated in the testing conditions of high sliding velocity. Test data of different contact geometry were normalized by using a normalized contact pressure and sliding velocity; it showed a good correlation. This work suggests that normalized PV values could be more effective in evaluating bearing materials than conventional PV values for a design parameter of journal bearings.

Development of a Geometry PIG for the Inspection of Natural Gas Pipeline and It´s application

  • Kim, Dong-Kyu;Cho, Sung-Ho;Park, Seoung-Soo;Park, Dae-Jin;Koo, Sung-Ja;Yoo, Hui-Ryong;Park, Yong-Woo;Kho, Young-Tai
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.150.4-150
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    • 2001
  • The geometry PIG provides pipeline operators with continuous measurement of pipe centerline coordinates, bend radius, displacement, and bending strain in a single pass through the pipeline. This study introduces the developed geometry PIG(Pipeline Inspection Gauge) which is used for geometry surveys. This tool is equipped with the several sensor systems. The Inertial Navigation System (INS) comprises angle rate gyros and linear accelerometers. The system measures the precise path of the PIG during its traverse of the pipeline. This system is also used to produce a detailed map of the lire, measure curvature. Odometers measure the PIG´s distance moved along the line and instantaneous speed during the PIG run. Caliper sensors measure pipeline ...

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Study on the Simultaneous Control of the Seam tracking and Leg Length in a Horizontal Fillet Welding Part 1: Analysis and Measurement of the Weld Bend Geometry

  • Moon, H.S.;Na, S.J.
    • International Journal of Korean Welding Society
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    • 제1권1호
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    • pp.23-30
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    • 2001
  • Among the various welding conditions, the welding current that is inversely proportional to the tip-to-work-piece distance is an essential parameter as to monitor the GMAW process and to implement the welding automation. Considering the weld pool surface geometry including weld defects, it should modify the signal processing method for automatic seam tracking in horizontal fillet welding. To meet the above necessities, a mathematical model related with the weld pool geometry was proposed as in a conjunction with the two-dimensional heat flow analysis of the horizontal fillet welding. The signal processing method based on the artificial neural network (Adaptive Resonance Theory) was proposed for discriminating the sound weld pool surface from that with the weld defects. The reliability of the numerical model and the signal processing method proposed were evaluated through the experiments of which showed that they are effective for predicting the weld bead shape with or without the weld defects in a horizontal fillet welding.

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Application of Geometry-Efficiency Variation Technique to Activity Measurement of $^{204}T1$ for 3-PM Liquid Scintillation Counting

  • Lee Hwa Yong;Seo Ji Suk;Kwak Ji Yeon;Hwang Han-Yull;Lee K. B.;Lee Jong Man;Park Tae Soon
    • Nuclear Engineering and Technology
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    • 제36권2호
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    • pp.121-126
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    • 2004
  • 3-PM liquid scintillation counting using the geometry-efficiency variation technique has been applied to the activity measurement of $^{204}T1$, which decays to $^{204}Hg\;and\;^{204}Pb\;by\;{\beta}^-$ and E.C., respectively. The TDCR values K have been derived over a wide range, 0.78 < K < 0.97, by displacing the detectors up to 50 mm away from an unquenched liquid scintillation sample $^{204}Tl$. The derived plots of the logic sums of double coincidences $N_D(K)$ very K vary linearly in the observed regions. The fractions of losses due to electron capture decay have been taken into account by employing a PENELOPE Monte Carlo simulation. The calibrated activity is 102.3 kBq at a reference date of July 1st, 2002 (UT) with a combined uncertainty of $0.63\%$. This is consistent with the value determined by means of the CIEMAT/NIST method at KRISS.

Classification of Speleology in Wikipedia

  • Oh, Jong-Woo
    • 동굴
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    • 제82호
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    • pp.17-25
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    • 2007
  • The use of a low-frequency cave radio can also verify survey accuracy. A receiving unit on the surface can pinpoint the depth and location of a transmitter in a cave passage by measurement of the geometry of its radio waves. A survey over the surface from the receiver back to the cave entrance forms an artificial loop with the underground survey, whose loop-closure error can then be determined. In the past, caves were reluctant to redraw complex cave maps after detecting survey errors. Today, computer cartography can automatically redraw cave maps after data has been corrected.

Constructive Evaluation of Definitions in a Dynamic Geometry Context

  • Govender, Rajendran;de Villiers, Michael
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제7권1호
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    • pp.41-58
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    • 2003
  • This study firstly examined 18 prospective secondary mathematics teachers' understanding of the nature of definitions and the use of the dynamic geometry software Sketchpad to not only improve their understanding of definitions, but also their ability to define geometric concepts themselves. Results indicated that the evaluation of definitions by accurate construction and measurement enabled students to achieve a better understanding of necessary and sufficient conditions, as well as the ability to more readily find counter-examples, and to recognize uneconomical definitions, and improve them.

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초등수학에서 기하판 활용방안 탐색 (Investigation of Geoboards in Elementary Mathematics Education)

  • 김민경
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제5권2호
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    • pp.111-119
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    • 2001
  • Over the years, the benefits of instructional manipulatives in mathematics education have been verified by classroom practice and educational research. The purpose of this paper is to introduce how the instructional material, specifically, geoboard could be used and integrated in elementary mathematics classroom in order to develop student's mathematical concepts and process in terms of the following areas: (1) Number '||'&'||' Operation : counting, fraction '||'&'||' additio $n_traction/multiplication (2) Geometry : geometric concepts (3) Geometry : symmetry '||'&'||' motion (4) Measurement : area '||'&'||' perimeter (5) Probability '||'&'||' Statistics : table '||'&'||' graph (6) Pattern : finding patterns Further, future study will continue to foster how manipulatives will enhance children's mathematics knowledge and influence on their mathematics performance.

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