• Title/Summary/Keyword: 기하학적 상사성

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A Study on the Similitude of Precast Concrete Panel Structure Using one-third Scale Subassemblage Model (1/3 축적 모형실험에 의한 프리캐스트 콘크리트 판구조의 상사성에 관한 연구)

  • 윤재진
    • Magazine of the Korea Concrete Institute
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    • v.4 no.3
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    • pp.123-134
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    • 1992
  • 본연구는 실물크기의 프리캐스트 콘크리트 판구조물의 부분구조체를 모형화하여 실험한 결과를 분석한 것이다. 구조물의 역학적 특성과 파괴성상을 파악하기 위한 구조실험은 실물크기의 구조물과 부재로써 실시하는 것이 가장 좋은 방법이지만, 이것은 치수가 크므로 공간적으로 제한을 받고 많은 시간과 비용을 필요로 하기 때문에 모형실험을 이용하게 된다. 이러한 모형실험을 최소한의 오차범위내에서 원형실험과 같은 재현하고 예측하도록 실험을 준비하는 데에는 상사법칙이 필요하게 된다. 모형은 무엇보다도 원형과의 응력-변형도 관계 등 구성재료에 대한 상사요구조건을 만족시키는 것이 중요하지만, 본 연구의 대상은 1/3축척으로써 기하학적인 요소와 사용재료에 대한 강도의 상사성만을 고려한 모형이다. 본 연구에서는 이러한 모형구조물의 거동을 원형실험결과와 비교하여 상사성 확보의 문제와 가능성을 조사하였다.

Analysis of Drainage Structure Based on the Geometric Characteristics of Drainage Density and Source-Basin (배수밀도와 수원유역의 기하학적 특성을 기반으로 한 배수구조에 대한 해석)

  • Kim, Joo-Cheol;Kim, Jae-Han
    • Journal of Korea Water Resources Association
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    • v.40 no.5
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    • pp.373-382
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    • 2007
  • The exact resolution of channel initiation points is not so easy because of the dynamic behaviors of water movement on the hillslope. To this end, Kim, Joocheol and Kim, Jaehan(2007) have represented the channel network in real world basins for slope-area regimes using DEM. This study is its sequential content and then proposes the reliabilities of the hypothetical channel networks identified from DEM, which are assessed based on the geometric characteristics of drainage density and source-basin. The resulting drainage structures on the natural basin can be found to be depicted remarkably depending on the hypothetical channel network applied by slop-area threshold criterion. In addition, it is shown that there is a wonderful geometric similarity between the shapes of source- basin in a geomorphologically homogeneous region. Area threshold criterion could have restricted the shape of source-basin, so that it might bring about the incorrect drainage structures. But the hypothetical channel networks identified from DEM deserves special emphasis on expressing the space-filling structures nonetheless.

Effect of Geometrical Similarity between Twist Drill on the Shape of Chip Produced (드릴의 기하학적 상사성이 칩형상에 미치는 영향)

  • 최만성
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1999.10a
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    • pp.513-518
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    • 1999
  • In this study, geometrical similarity conditions for drills of various diameters are discussed. The effect of geometrical similarity on the chip shape and forces of different sized conventional drills has been experimentally confirmed. Drilling tests are carried out for SM45C by using the conventional HSS drills. The torque and thrust forces are measured and compared with those chip forms. Chip shape in drilling are affected by three factors being flow angle, side and up curl of the chip. It is found that the feedrate and drill diameter are more affected than cutting speed on the chip form and cutting forces. The similarity conditions gives easily to estimate the chip shape, the thrust and the torque for drills of different diameters.

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Development of a GIUH Model Based on River Fractal Characteristics (하천의 프랙탈 특성을 고려한 지형학적 순간단위도 개발(I))

  • Hong, Il-Pyo;Go, Jae-Ung
    • Journal of Korea Water Resources Association
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    • v.32 no.5
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    • pp.565-577
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    • 1999
  • The geometric patterns of a stream network in a drainage basin can be viewed as a "fractal" with fractal dimensions. Fractals provide a mathematical framework for treatment of irregular, ostensively complex shapes that show similar patterns or geometric characteristics over a range of scale. GIUH (Geomorphological Instantaneous Unit Hydrograph) is based on the hydrologic response of surface runoff in a catchment basin. This model incorporates geomorphologic parameters of a basin using Horton's order ratios. For an ordered drainage system, the fractal dimensions can be derived from Horton's laws of stream numbers, stream lengths and stream areas. In this paper, a fractal approach, which is leading to representation of a 2-parameter Gamma distribution type GIUH, has been carried out to incorporate the self similarity of the channel networks based on the high correlations between the Horton's order ratios. The shape and scale parameter of the GIUH-Nash model of IUH in terms of Horton's order ratios of a catchment proposed by Rosso(l984J are simplified by applying the fractal dimension of main stream length and channel network of a river basin. basin.

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Hack's Law and the Geometric Properties of Catchment Plan-form (Hack의 법칙과 집수평면의 기하학적 특성)

  • Kim, Joo-Cheol;Lee, Sang-Jin
    • Journal of Korea Water Resources Association
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    • v.42 no.9
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    • pp.691-702
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    • 2009
  • This study makes a systematic approach to Hack's law considering self-affinity and self-similarity of natural basins as well as the elongation of corresponding catchment-plan forms. Catchment-plan forms extracted from DEM appear to be the population come from the interactions of 2 hypotheses on Hack's law. It is judged that the elongation measures based on inertia moments are more intuitive than the ones based on main channel lengths. The exponent of Hack's law, h, seems to be similar to the result of Gray's study (1961). However Hurst exponent, H, being 0.96 imply that catchment-plan forms considered in this study have isotropic increasing properties with scale. From this point of view it is inferred that the shapes of the basins in this study would be more affected from self-similarity of main channel lengths than self-affinity of catchment-plan forms.

A Method to Reduce Flow Depth of a Plate Heat Exchanger without a Loss of Heat Transfer Performance (판형 열교환기의 열전달성능 손실 없이 유동방향 길이를 축소하는 방법)

  • Song Gwi-Eun;Lee Dae-Young
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.18 no.2
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    • pp.129-136
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    • 2006
  • Optimal design of an air-to-liquid finned plate heat exchanger is considered theoretically in this study. Based on existing correlations for the pressure loss and the heat transfer in channel flows, the optimal configuration of the plate heat exchanger including the optimal plate pitch and the optimal fin pitch is obtained to maximize the heat transfer within the limit of the pressure drop for a given flow depth of the plate heat exchanger. It is found that the optimal fin pitch is about one ninth of the optimal plate pitch. In the optimal configuration, the flow and thermal condition in the channels is just at the boundary between the laminar developing and laminar fully developed states. It is also found when reducing the flow depth of plate heat exchangers for compactness, the heat transfer performance can be maintained exactly the same if the geometric parameters such as the plate thickness, plate pitch, fin thickness, and fin pitch are reduced proportional to the square root of the flow depth as long as the flow keeps laminar within the heat exchangers.

The Froude Scaling Study on the Ventilation of Non-isothermal Concentrated Fume from the Semi-closed Space (반밀폐형 공간에서 비등온 고농도 연무의 배연산출량 산정을 위한 Froude 상사연구)

  • Chang, Hyuk-Sang;Choi, Byung-Il;Park, Jae-Cheul;Kim, Myung-Bae
    • Journal of Korean Society of Environmental Engineers
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    • v.27 no.8
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    • pp.877-885
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    • 2005
  • The Froude scaling between the prototype and the model was tried to estimate the necessary ventilation rate for non-isothermal concentrated fume from the semi-closed inner space. Based on the non-dimensional similitude equations derived from the Zukoski plume rise analysis, the scaling experiments were done to verify the relationship of the non-dimensional energy release rate and the non-dimensional mass flow rate by using two different scaled volume models, model A ($1\;m{\times}1\;m{\times}1\;m$) and model B ($0.5\;m{\times}0.5\;m{\times}0.5\;m$). The experimental results showed that the theoretical similitude between the models is acceptable for the prediction of ventilation rate of the concentrated fume. The maximum energy release rate used for the experiments was $20\;kW/m^3$. In the experimental range, the similitude between the energy release rate and the ventilation mass flow rate was well defined and the necessary ventilation rates were 20-30% higher than the stoichiometric ventilation mass flow rate. Based on results of current study, the design of the local air ventilation system can be improved by correcting the effects of buoyancy and diffusion of the non-isothermal concentrated fume.

An Equivalent Multi-Phase Similitude Law for Pseudodynamic Test on Small-scale RC Models (RC 축소모형의 유사동적실험을 위한 Equivalent Multi-Phase Similitude Law)

  • ;;;Guo, Xun
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.6
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    • pp.101-108
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    • 2003
  • Small-scale models have been frequently used for experimental evaluation of seismic performance because of limited testing facilities and economic reasons. However, there are not enough studies on similitude law for analogizing prototype structures accurately with small-scale models, although conventional similitude law based on geometry is not well consistent in the inelastic seismic behavior. When fabricating prototype and small-scale model of reinforced concrete structures by using the same material. added mass is demanded from a volumetric change and scale factor could be limited due to size of aggregate. Therefore, it is desirable that different material is used for small-scale models. Thus, a modified similitude law could be derived depending on geometric scale factor and equivalent modulus ratio. In this study, compressive strength tests are conducted to analyze equivalent modulus ratio of micro-concrete to normal-concrete. Equivalent modulus ratios are divided into multi phases, which are based on ultimate strain level. Therefore, an algorithm adaptable to the pseudodynamic test. considering equivalent multi-phase similitude law based on seismic damage levels, is developed. In addition, prior to the experiment. it is verified numerically if the algorithm is applicable to the pseudodynamic test.

Evaluation of the Optimum Interpolation for Creating Hydraulic Model from Close Range Digital Photogrammetry (근접수치사진측량으로 수리모형해석에 적용 시 최적보간법 평가)

  • Choi Hyun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.23 no.3
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    • pp.251-260
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    • 2005
  • The Development of CCD has contributed to great advancement in mapping technology with giving benefits to research community of photogrammetry. The purpose of this paper is to find the best selection of interpolation method for creating a terrain model form close range digital photogrammetry. T-test as a kind of statistical analysis was conducted to analyze the similarity of hydraulic model with close range digital photogrammetry and trigonometric leveling. Also, many interpolation methods such as inverse distance, kriging, nearest neighbor and TIN about the hydraulic model interpolation were conducted to compare the results for computer to display actual terrain an optimum interpolation of the digital elevation model form close range digital photogrammetry. The results revealed that kriging and TIN interpolation were efficient methods to judge the hazard interpolation law by analyzing geometric similarity of hydraulic model against hydraulic model application.

An Equivalent Multi-Phase Similitude Law for Pseudodynamic Test on Small-scale RC Models : Verification Tests (RC 축소모형의 유사동적실험을 위한 Equivalent Multi-Phase Similitude Law : 검증실험)

  • Kim, Nam-Sik;Lee, Ji-Ho;Chang, Sung-Pil
    • Journal of the Earthquake Engineering Society of Korea
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    • v.8 no.5 s.39
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    • pp.35-43
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    • 2004
  • Small-scale models have been frequently used for seismic performance tests because of limited testing facilities and economic reasons. However, there are not enough studies on similitude law for analogizing prototype structures accurately with small-scale models, although conventional similitude law based on geometry is not well consistent in the inelastic seismic behavior. When fabricating prototype and small-scale model of reinforced concrete structures by using the same material, added mass is demanded from a volumetric change and scale factor could be limited due to aggregate size. Therefore, it is desirable that different material is used for small-scale models. Thus, a modified similitude law could be derived depending on geometric scale factor, equivalent modulus ratio and ultimate strain ratio. In this study, compressive strength tests are conducted to analyze the equivalent modulus ratio of micro-concrete to normal-concrete. Then, equivalent modulus ratios are divided into multi-phase damage levels, which are basically dependent on ultimate strain level. Therefore, an algorithm adaptable to the pseudodynamic test, considering equivalent multi-phase similitude law based on seismic damage levels, is developed. Test specimens, consisted of prototype structures and 1/5 scaled models as a reinforced concrete column, were designed and fabricated based on the equivalent modulus ratios already defined. Finally quasistatic and pseudodynamic tests on the specimens are carried out using constant and variable modulus ratios, and correlation between prototype and small-scale model is investigated based on their test results. It is confirmed that the equivalent multi-phase similitude law proposed in this study could be suitable for seismic performance tests on small-scale models.