• Title/Summary/Keyword: 쌍곡선모델

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The Consolidation Behavior on Soft Clay by Numerical Analysis (수치해석에 의한 연약지반의 압밀거동)

  • Kang, Yea Mook;Lee, Dal Won;Lim, Seong Hun;Yoon, Je Shik
    • Korean Journal of Agricultural Science
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    • v.25 no.2
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    • pp.235-246
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    • 1998
  • This study was performed to find the effect of parameters of numerical analysis model. To find the parameters of numerical analysis model, triaxial test and consolidation test were conducted and the results were compared and analyzed with various methods. Preloaded ground was analyzed with Hyperbolic and Modified Cam-Clay models. Hyperbolic model analysis result was good agreement with measured lateral displacement, and Modified Cam-Clay model agreed more than Hyperbolic model with settlement. When the parameters of models were changed, change of settlement on center of embankment and of maximum lateral displacement on distance 5m from end of embankment were compared. On Hyperbolic model the parameter K has large influence on settlement and lateral displacement. On Modified Cam-Clay model the parameters ${\Gamma}$ and M have large influence on settlement and lateral displacement, respectively.

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J2-bounding Surface Plasticity Model with Zero Elastic Region (탄성영역이 없는 J2-경계면 소성모델)

  • Shin, Hosung;Oh, Seboong;Kim, Jae-min
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.43 no.4
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    • pp.469-476
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    • 2023
  • Soil plasticity models for cyclic and dynamic loads are essential in non-linear numerical analysis of geotechnical structures. While a single yield surface model shows a linear behavior for cyclic loads, J2-bounding surface plasticity model with zero elastic region can effectively simulate a nonlinearity of the ground response with the same material properties. The radius of the yield surface inside the boundary surface converged to 0 to make the elastic region disappear, and plastic hardening modulus and dilatancy define plastic strain increment. This paper presents the stress-strain incremental equation of the developed model, and derives plastic hardening modulus for the hyperbolic model. The comparative analyses of the triaxial compression test and the shallow foundation under the cyclic load can show stable numerical convergence, consistency with the theoretical solution, and hysteresis behavior. In addition, plastic hardening modulus for the modified hyperbolic function is presented, and a methodology to estimate model variables conforming 1D equivalent linear model is proposed for numerical modeling of the multi-dimensional behavior of the ground.

Quanrum Ballistic Transport in a Two-Dimensional Electron Gas (2차원 전자개스에서 양자 탄동적 수송현상)

  • 최점수;정문성
    • Journal of the Korean Vacuum Society
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    • v.4 no.2
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    • pp.224-229
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    • 1995
  • 쌍곡선 모델을 사용하여 미시 통로죔을 통과하는 2차원 전자들의 양자 탄동적 수송현상을 연구하였다. 통로죔은 타원좌표계($\alpha$, $\beta$)에서 $\beta$=$\beta$o, $\pi$-$\beta$o로 주어지는 두 쌍곡선으로 기술하였다. 양자화된 88컨덕턴스 G는 타원좌표계에서 주어진 슈뢰딩거 방정식과 쌍곡선 경계조건을 만족하는 짝 매튜 함수를 이용하여 계산하였다. 그 결과는 채널수 Nc는 통로죔 폭 W뿐만 아니라 곡률 관련좌표 $\beta$o에 의존함을 나타내었다. 또한 곡률에 의존하는 터널링도 양자화된 G의 그래프의 모양을 나타내는 중요한 요소임을 나타내 주었다. 고정된 통로폭에서 Nc가 일정한 $\beta$o영역에서는 $\beta$o의 연속적 변화에 G는 연속적으로 변화하였지만 $\beta$o가 크게 변화할 때는 Nc가 변화하여 G는 불연속적으로 변화하였다. 만일 터널링이 거의 허용이 안되는 $\beta$o의 영역에서는 G는 계단식의 변화만 보여주었다.

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Development and Validation of a Canopy Photosynthetic Rate Model of Lettuce Using Light Intensity, CO2 Concentration, and Day after Transplanting in a Plant Factory (광도, CO2 농도 및 정식 후 생육시기에 따른 식물공장 재배 상추의 군락 광합성 모델 확립)

  • Jung, Dae Ho;Kim, Tae Young;Cho, Young-Yeol;Son, Jung Eek
    • Journal of Bio-Environment Control
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    • v.27 no.2
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    • pp.132-139
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    • 2018
  • The photosynthetic rate is an indicator of the growth state and growth rate of crops and is an important factor in constructing efficient production systems. The objective of this study was to develop a canopy photosynthetic rate model of romaine lettuce using the three variables of $CO_2$ concentration, light intensity, and growth stage. The canopy photosynthetic rates of the lettuce were measured at five different $CO_2$ concentrations ($600-2,200{\mu}mol{\cdot}mol^{-1}$), five light intensities ($60-340{\mu}mol{\cdot}m^{-2}{\cdot}s^{-1}$), and four growth stages (5-20 days after transplanting) in three closed acrylic chambers ($1.0{\times}0.8{\times}0.5m$). A simple multiplication model expressed by multiplying three single-variable models and the modified rectangular hyperbola model including photochemical efficiency, carboxylation conductance, and dark respiration, which vary with growth stage, were also considered. In validation, the $R^2$ value was 0.923 in the simple multiplication model, while it was 0.941 in the modified rectangular hyperbola model. The modified rectangular hyperbola model appeared to be more appropriate than the simple multiplication model in expressing canopy photosynthetic rates. The model developed in this study will contribute to the determination of an optimal $CO_2$ concentration and light intensity with the growth stage of lettuce in plant factories.

Derivation of A,B,C,D Parameters of Long Transmission Line Using T-model and Hyperbolic Function (T-모델과 쌍곡선함수를 이용한 장거리 송전선로의 A,B,C,D 파라미터 유도)

  • Kim, Do-Won;Lee, Sang-Joong;Yang, Seong-Deog
    • Proceedings of the KIEE Conference
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    • 2008.11a
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    • pp.53-55
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    • 2008
  • 본 논문에서는, 기존의 문헌에 사용되어 온 $\Gamma$형을 대체할 수 있는 새로운 T형 장거리 송전선로 모델을 제시한다. 특히, T-모델은 선로 양단의 병렬 어드미턴스와의 중복이 없다. 또한, 기존 문헌에 제시된 hyperbolic solution을 이용한 간단한 장거리 송전선로 A,B,C,D 파라미터 유도방법을 소개한다. hyperbolic solution으로 장거리 송전선로 파라미터를 유도할 경우, exponential solution보다 수식의 양을 줄일 수 있고, 초기값도 간단하게 구할 수 있다.

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Stress-strain Behavior of Sand Reinforced with Geocell (지오셀로 보강된 모래의 응력-변형 거동)

  • Yoon, Yeo-Won;Kim, Jae-Youn;Kim, Bang-Sik
    • Journal of the Korean GEO-environmental Society
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    • v.4 no.2
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    • pp.27-37
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    • 2003
  • In this research stress-strain behavior of composite geocell-soil systems under triaxial condition and the influence of strength due to the presence of geocell were studied. For the research a series of triaxial tests were carried out on sand specimens confined by flexible-walled single rubber cell. The diameter of all rubber cells placed at the center of the soil sample were 50 mm. Three rubber sizes, i.e. 35, 50 and 70 mm height, were applied to the soil specimen and the size of soil specimen was 50 mm in diameter and 100 mm in height. Three different densities of soil were used for the tests. In general, it was observed that the sand specimen develops an apparent cohesion due to the confinement by the geocell. The magnitude of this cohesion seemed to be dependent to the properties of the geocell material. The test results have shown that the geocell material for this research not only develops the apparent cohesion but also increases the angle of friction whereas geosynthetic material in the references showed only the increase of apparent cohesion. From the application of geocell-soil composites to the hyperbolic model, it was recognized that the determination of the peak strength influences the behavior of the geocell-soil composites.

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Development of A Three-Variable Canopy Photosynthetic Rate Model of Romaine Lettuce (Lactuca sativa L.) Grown in Plant Factory Modules Using Light Intensity, Temperature, and Growth Stage (광도, 온도, 생육 시기에 따른 식물공장 모듈 재배 로메인 상추의 3 변수 군락 광합성 모델 개발)

  • Jung, Dae Ho;Yoon, Hyo In;Son, Jung Eek
    • Journal of Bio-Environment Control
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    • v.26 no.4
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    • pp.268-275
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    • 2017
  • The photosynthetic rates of crops depend on growth environment factors, such as light intensity and temperature, and their photosynthetic efficiencies vary with growth stage. The objective of this study was to compare two different models expressing canopy photosynthetic rates of romaine lettuce (Lactuca sativa L., cv. Asia Heuk romaine) using three variables of light intensity, temperature, and growth stage. The canopy photosynthetic rates of the plants were measured 4, 7, 14, 21, and 28 days after transplanting at closed acrylic chambers ($1.0{\times}0.8{\times}0.5m$) using light-emitting diodes, in which indoor temperature and light intensity were designed to change from 19 to $28^{\circ}C$ and 50 to $500{\mu}mol{\cdot}m^{-2}{\cdot}s^{-1}$, respectively. At an initial $CO_2$ concentration of $2,000{\mu}mol{\cdot}mol^{-1}$, the canopy photosynthetic rate began to be calculated with $CO_2$ decrement over time. A simple multiplication model expressed by simply multiplying three single-variable models and a modified rectangular hyperbola model were compared. The modified rectangular hyperbola model additionally included photochemical efficiency, carboxylation conductance, and dark respiration which vary with temperature and growth stage. In validation, $R^2$ value was 0.849 in the simple multiplication model, while it increased to 0.861 in the modified rectangular hyperbola model. It was found that the modified rectangular hyperbola model was more suitable than the simple multiplication model in expressing the canopy photosynthetic rates affected by environmental factors (light Intensity and temperature) and growth factor (growth stage) in plant factory modules.

Identifying Strain Associated with Damping Ratio from Tosional Test Using a Combined Damping Model (복합감쇠모델을 이용한 비틂 시험기로 얻은 감쇠비에 상응하는 변형률 산정)

  • Bae, Yoon-Shin
    • Journal of the Earthquake Engineering Society of Korea
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    • v.12 no.1
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    • pp.43-55
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    • 2008
  • The complexity of determining strain associated with shear modulus and damping ratio in torsional tests has been resolved by means of several approaches. Particularly, the modified equivalent radius approach is adequate to when generating the plots of equivalent radius ratio versus strain more effectively over any range of strains in resonant column and torsional shear (RC/TS) tests. The modified equivalent radius approach was applied for hyperbolic, modified hyperbolic, and Ramberg-Osgood models in evaluating damping ratio. Results showed that using a single value of equivalent radius ratio based on conventional equivalent radius approach is not appropriate. A new model was developed to consider the soil damping behavior at small strains as well as hysteretic damping and it was attempted to determine adjustments are required in evaluating strain associated damping when combining the two damping components.

Study on the Adaptability of Hyperbolic Constitutive Model for Rubble Stone (사석지반에 대한 쌍곡선 구성모델의 적용성 연구)

  • Hwang, Se-Hwan;Kim, Jong-Soo;Kwon, Oh-Kyun
    • Journal of the Korean GEO-environmental Society
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    • v.3 no.3
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    • pp.53-63
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    • 2002
  • Until recently the other attempts except linear elastic analysis using assumed elastic modulus had not been made in order to evaluate the settlement of the rock fill materials in Korea. Especially, it was almost impossible to predict the precise settlement of the breakwater structure made with dumped rubble stone. In this study, 3 sets of large scaled triaxial compression tests for porous basaltic quarry rocks were carried out and numerical simulation of those triaxial compression tests were performed applying non linear elastic model. Two stress-strain behaviors were compared to study the adaptability of hyperbolic constitutive model for the rubble stone. The results showed quite good agreements between the two stress-strain behaviors. Thus, the hyperbolic constitutive model is thought to be alternative approach evaluate the settlements of the loose rock-fill material.

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A Study on the Behaviour of Baekma River Sands Using Elasto-Plastic Hyperbolic Model (탄·소성 쌍곡선 모델을 이용한 백마강 모래의 거동특성 연구)

  • Yang, Seung-Jae;Park, Ki-Hyeon;Park, Hyung-Yeol;Yang, Kyung-Jin;Kim, Chan-kee
    • Journal of the Korean Geosynthetics Society
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    • v.19 no.1
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    • pp.93-101
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    • 2020
  • In order to predict the nonlinear behaviour of the soil, the elasto-plastic hyperbolic model was selected, which was considered to be relatively simple and highly predictable. The soil parameter determination and the behavior analysis program were developed by formalizing the functions related to the constitutive model. Each soil parameter was determined from the results of the drained triaxial compression tests of Baekma river sand with the change of relative density. The stress-strain behavior was predicted using the soil parameters determined under each condition. As a result, the deviator stress for the axial strain is verified to have a good match between the measured value and predicted value at each relative density. In the relationship between the volumetric stain and the axial strain, when the relative density is loose, the measured value and predicted value tend to match, and when relative density is dense, the predicted value of the volumetric strain appears somewhat smaller than the measured value due to the limitation of the constitutive model.