• Title/Summary/Keyword: 선형방정식

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Calculation of Failure Load of V-shaped Rock Notch Using Slip-line Method (Slip-line법을 이용한 V형 암석 노치의 파괴하중 계산)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.30 no.4
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    • pp.404-416
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    • 2020
  • An analytical procedure for calculating the failure load of a V-shaped rock notch under two-dimensional stress conditions was developed based on the slip-line plastic analysis method. The key idea utilized in the development is the fact that the α-line, one of the slip-lines, extends from the rock notch surface to the horizontal surface outside the notch when the rock around the notch is in the plastic state, and that there exists an invariant which is constant along the α-line. Since the stress boundary condition of the horizontal surface outside the rock notch is known, it is possible to calculate the normal and shear stresses acting on the rock notch surface by solving the invariant equation. The notch failure load exerted by the wedge was calculated using the calculated stress components for the notch surface. Rock notch failure analysis was performed by applying the developed analytical procedure. The analysis results show that the failure load of the rock notch increases with exponential nonlinearity as the angle of the notch and the friction of the notch surface increase. The analytical procedure developed in this study is expected to have applications to the study of fracture initiation in rocks through wedge-shaped notch formation, calculation of bearing capacity of the rock foundation, and stability analysis of rock slopes and circular tunnels.

Introduction of International Cooperation Project, DECOVALEX from 2008 to 2019 (2008년부터 2019년까지 수행된 국제공동연구 DECOVALEX 소개)

  • Lee, Changsoo;Kim, Taehyeon;Lee, Jaewon;Park, Jung-Wook;Kwon, Seha;Kim, Jin-Seop
    • Tunnel and Underground Space
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    • v.30 no.4
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    • pp.271-305
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    • 2020
  • An effect of coupled thermo-hydro-mechanical and chemical (THMC) behavior is an essential part of the performance and safety assessment of geological disposal systems for high-level radioactive waste and spent nuclear fuel. Furthermore, numerical models and modeling techniques are necessary to analyze and predict the coupled THMC behavior in the disposal systems. However, phenomena associated with the coupled THMC behavior are nonlinear, and the constitutive relationships between them are not well known. Therefore, it is challenging to develop numerical models and modeling techniques to analyze and predict the coupled THMC behavior in the geological disposal systems. It is also difficult to verify and validate the development of the models and techniques because it requires expensive laboratory tests and in-situ experiments that need to be performed for a long time. DECOVALEX was initiated in 1992 to efficiently develop numerical models and modeling techniques and validate the developed models and techniques against the lab and in-situ experiments. In Korea, Korea Atomic Energy Research Institute has participated in DECOVALEX-2011, DECOVALEX-2015, and DECOVALEX-2019 since 2008. In this study, all tasks in the three DECOVALEX projects were introduced to the researcher in the field of rock mechanics and geotechnical engineering in Korea.

Numerical Simulation on Seawater Intrusion in Coastal Aquifer using N-S Solver Based on Porous Body Model (PBM (Porous Body Model) 기반의 N-S Solver를 이용한 해안대수층의 해수침투모의)

  • Lee, Woo-Dong;Jeong, Yeong-Han;Hur, Dong-Soo
    • Journal of Korea Water Resources Association
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    • v.48 no.12
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    • pp.1023-1035
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    • 2015
  • This study applies 3-D N-S solver based on PBM (Porous Body Model), LED-WASS-3D ver 2.0 to directly analyze non-linear interaction of seawater-freshwater-coastal aquifer in order to simulate the seawater infiltration into coastal aquifer. This numerical simulation is the first trial in Korea, as well as unusual and new numerical analysis abroad. Firstly, to validate the applied numerical model, the validity and effectiveness was verified for the numerical model by comparing and considering it with the result of laboratory experiment for seawater-freshwater interface in coastal aquifer. And then it simulated the seawater infiltration into coastal aquifer considering the changed levels of seawater and groundwater in order to analyze the distribution characteristics of flow field and seawater-freshwater interface of coastal aquifer as the level difference between seawater and groundwater and rate of seawater level (${\Delta}h/h$) increased. In addition, the characteristics of seawater infiltration were analyzed from the vertical salinity in the coastal aquifer by ${\Delta}h/h$, which cannot be obtained from existing non-diffusion numerical models. Finally, it analyzed the effect of ${\Delta}h/h$ on the seawater infiltration distance in coastal aquifer, which was indexed.

원통형 Saddle Field Ion Source의 특성에 관한 연구

  • Choe, Seong-Chang
    • Proceedings of the Korean Vacuum Society Conference
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    • 2012.02a
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    • pp.234-234
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    • 2012
  • Saddle field ion source는 구조가 간단하고 영구자석을 사용하지 않아 소형화에 유리하고 구조가 간단한 DC 파워서플라이를 이용하기 때문에 장치 가격이 저렴하여 다양한 분야에서 응용되고 있으며 특히 이온빔 밀링 분야에 많이 사용된다. 초기 saddle field ion source 는 대칭형의 구형이었으나 지속적인 연구 개발로 와이어형, 원판형, 원통형 등 다양한 형태의 saddle field ion source가 개발되었다. 본 연구에서는 비교적 제작이 용이하고, 구조적으로 외부간섭에 대하여 덜 민감한 원통형 saddle field ion source를 제작하였다. 초기 saddle field ion source는 이온원 내부에 saddle field를 형성하기 위하여 대칭 구조를 가지 형태로 제작되었으나, 비대칭 구조에서도 saddle field가 형성될 수 있고 비대칭 구조를 채택할 경우 한쪽으로 더 많은 이온빔을 인출할 수 있기 때문에 실제 응용면에서는 비대칭 구조가 더 유리하다. 따라서 본 연구에서는 원통형 비대칭 saddle field ion source를 제작하였으며, 제작된 이온소스는 높이가 62 mm 지름이 55 mm의 소형 이온소스였다. 제작된 원통형 saddle field ion source는 진공도와 가속전압에 따라 방전 모드 변화하였다. Saddle field ion source는 전극과 extractor의 구조에 따라 조금씩 다르지만 대체로 5x10-5 Torr ~ 5x10-4 Torr 영역에서 안정적으로 작동하였다. 이온소스 내부의 압력이 높을 경우 수십 mA 의 방전 전류가 흐르는 고전류 방전 모드로 작동하였으며 압력이 낮을 경우에는 동일한 전압에서 수 mA 의 방전 전류만 흐르는 저전류 방전 모드로 작동하였다. 압력이 더 높아질 경우 아크 방전이 발생하여 이온소스의 작동이 불안정하여 연속적인 작동이 어려웠다. 고전류 방전 모드에서는 이온빔 전류가 Child-Langmuir 방정식에 따라 Vi3/2에 비례하여 증가하는 경향을 보여주었으며 저전류 방전 모드에서는 Vi에 선형적으로 증가하였다. 가속 전압이 동일한 경우 고전류 방전 모드가 저전류 방전 모드에 비하여 더 많은 이온빔 인출이 가능하지만, 고전류 방전 모드의 경우 이온의 방출 각도가 매우 넓은 반면 저전류 방전 모드에서는 이온빔의 퍼짐이 현저히 줄어듦을 관찰할 수 있었다. 원통형 saddle field ion source는 내부 구조가 간단하기 때문에 내부 전극의 구조 변화에 따라 방전 특성 및 이온빔 인출 특성이 심하게 변동하였다. Saddle field ion source에서는 Anode에 인가되는 방전 전압이 가속 전압과 같은 역할을 하는데 가속 전압은 2~10 kV 사이에서 인가가 가능하였다. 일반적으로 동일한 방전 모드에서 진공도가 높아질수록 방전 전류의 양과 인출되는 이온의 양이 증가하는 것이 관찰되었다. 제작된 이온소스는 최적 조건에서 5 mm 인출구를 통하여 0.7 mA의 이온빔 인출이 가능하였으며, 9 mm 인출구를 사용한 경우 1 mA까지 이온빔 인출이 가능하였다.

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A Study on the Crustal Structure of the Southern Korean Peninsula through Gravity Analysis (중력자료분석을 통한 한반도 지각구조에 관한 연구)

  • Kwon, Byung Doo;Yang, Su Yeong
    • Economic and Environmental Geology
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    • v.18 no.4
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    • pp.309-320
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    • 1985
  • The crustal structure of the southern part of the Korean peninsula has been investigated based on the results of processing and anlaysis of gravity data. The processing techniques involve i) seperation of regional and residual anomalies by polynomial fittings, ii) power spectral analyses to determine the mean depth to the crustal base, iii) a filtering operation called "high-cut filtering and resampling," and iv) downward continuation to determine the undulation of the crustal base. The Bouguer anomalies show a lineation in the NE-SW direction which is the same as that of most mountains and tectonic lines of this area. The mean crustal depth is found to be 34km. The depth of the crustal base is varying in the estimated range of 26km to 36km with a thinner crust below the east coast than that of the west coast. The relief of the crustal base is appeared to be correlated with the regional surface topography. The linear regression relations computed between elevations and gravity anomalies indicate that the crust of this area seems to be not in perfect isostatic equilibrium but a little undercompensated state.

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Comparison of TEMPO BC and MYP Plate Methods for the Enumeration of Bacillus cereus in Various Foods

  • Lee, Da Yeon;Kim, Hee Yeon;Cho, Yong Sun
    • Journal of Food Hygiene and Safety
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    • v.32 no.4
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    • pp.249-253
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    • 2017
  • This study aimed to compare the automated most-probable-number (MPN) TEMPO BC and the quantitative mannitol-egg yolk-polymyxin (MYP) plate methods for enumeration of Bacillus cereus in food samples known to be frequently contaminated. Food products that were naturally or artificially contaminated with B. cereus were analyzed by both methods. A difference of less than 1 log (CFU/g) between the two methods was noted in 95.3% samples. There were no significant differences in artificially contaminated products between the two methods in terms of $R^2$ values for sauce products, jorim products, fish products, etc. However, a significant difference was noted for sunsik, fermented soybean products, and products. The linear equation of naturally versus artificially contaminated food was $log_{(TEMPO\;BC)}=0.8453{\times}log_{(MYP\;plate\;agar)}+0.1642$. Statistical analysis of the results showed good agreement between the two methods. Due to growing interest in food safety, the use of the TEMPO BC method may increase. In response to this trend, the results from this study will offer valuable comparative data on the feasibility of existing methods and help develop new approaches for food safety testing.

Dynamic Response and Control of Airship with Gust (외란이 작용하는 비행선의 동적 반응 및 제어)

  • Woo, G.A.;Park, I.H.;Oh, S.J.;Cho, K.R.
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.6
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    • pp.69-77
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    • 2002
  • To acquire the dynamic response and design the controller of the airship, the longitudinal motion of the airship with respect to the vertical gust, which is the nonlinear system, was studied. The effects of the apparent mass and moment of the airship delay the dynamic response and the settling time, which are slower than those of conventional airplanes. The current object of the airship is designed to cruise at 500~1000m altitude. At that height, the atmospheric conditions are generally unstable by wind gust. In this paper, it has been studied for the case of vertical gust, since the apparent mass effects are dominant in has been studied for the case of vertical gust, since the apparent mass effects are dominant in that plane. In addition to the study of the dynamic responses of the airship, the controller was designed using the PID-controller. When the gust was applied, airship responses were recovered of equilibrium states. However, it takes too ling time for recovery and the speed of airship is reduced. So, the aim in this paper was to fasten the recovery speed and to get back the cruising velocity. The control parameters were determined from the stability mode analysis, and the control inputs were the thrust and the elevator deflection angle.

Diagnosis of Early Dental Caries with Dye-Enhancing Quantitative Light-Induced Fluorescence (QLF) (정량 광유도 형광법(QLF)과 광활성제를 이용한 초기 치아우식증의 진단)

  • Kim, Mihee;Lee, Sangho;Lee, Nanyoung
    • Journal of the korean academy of Pediatric Dentistry
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    • v.42 no.3
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    • pp.218-225
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    • 2015
  • This study used sodium fluorescein to improve imaging diagnostic ability by increasing the fluorescence difference between sound enamel and caries lesions. It also made it easier to discriminate between stain and caries lesions using quantitative light-induced fluorescence (QLF). Half of the specimen surface was covered with nail varnish as a control. Specimens were divided randomly in six decalcification groups and decalcified for different lengths of time. Then, ${\Delta}F$ was measured using QLF-D. After applying 0.075% sodium fluorescein, we measured ${\Delta}F$ again and compared it with the initial value. After cutting the central portion of the specimen, we measured the lesion depth using scanning electron microscopy. The lesion surfaces observed with QLF were darker than normal enamel, whereas they were lighter than normal enamel after applying fluorescein. Longer decalcification time was associated with greater fluorescent dye penetration. The ${\Delta}F$ measured after applying fluorescein was higher than the initial value (p < 0.05). Due to QLF measurement using fluorescein being more sensitive for diagnosing early decalcification, this approach will enable early diagnosis of dental caries before the cavity formation stage, allowing the treatment of early caries lesions. With QLF and sodium fluorescein, we can easily discriminate between stain and caries lesions.

Nonlinear Analysis of RC Beams under Cyclic Loading Based on Moment-Curvature Relationship (모멘트-곡률 관계에 기초한 반복하중을 받는 철근콘크리트 보의 비선형 해석)

  • 곽효경;김선필
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.2
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    • pp.245-256
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    • 2000
  • A moment-curvature relationship to simulate the behavior of reinforced concrete beam under cyclic loading is introduced. Unlike previous moment-curvature models and the layered section approach, the proposed model takes into consideration the bond-slip effect by using monotonic moment-curvature relationship constructed on the basis of the bond-slip relation and corresponding equilibrium equation at each nodal point. In addition, the use of curved unloading and reloading branches inferred from the stress-strain relation of steel gives more exact numerical result. The advantages of the proposed model, comparing to layered section approach, may be on the reduction in calculation time and memory space in case of its application to large structures. The modification of the moment-curvature relation to reflect the fixed-end rotation and pinching effect is also introduced. Finally, correlation studies between analytical results and experimental studies are conducted to establish the validity of the proposed model.

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Study of Interaction of Native DNA with Iron(III)-(2,4-Dihydroxysalophen)chloride (천연 DNA와 2,4-디히드록시살로펜-염화철(III)과 의 상호작용 연구)

  • Azani, Mohammad-Reza;Hassanpour, Azin;Bordbar, Abdol-Khalegh
    • Journal of the Korean Chemical Society
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    • v.54 no.5
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    • pp.573-578
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    • 2010
  • In this study, iron(III)-2,4-dihydroxysalophen chloride (Fe(2,4-DHSalophen)Cl), has been synthesized by combination of 2,4-dihydroxysalophen (2,4-DHSalophen) with $FeCl_2$ in a solvent system. This complex combination was characterized using UV-vis and IR spectroscopies. Subsequently, the interaction between native calf thymus deoxyribonucleic acid (ct-DNA) and Fe(2,4-DHSalophen)Cl, was investigated in 10 mM Tris/HCl buffer solution, pH 7.2, using UV-visible absorption and fluorescence spectroscopies, thermal denaturation technique and viscosity measurements. From spectrophotometric titration experiments, the binding constant of Fe(2,4-DHSalophen)Cl with ct-DNA was found to be $(1.6{\pm}0.2){\times}10^3\;M^{-1}$. The fluorescence study represents the quenching effect of Fe(2,4-DHSalophen)Cl on bound ethidium bromide to DNA. The quenching process obeys linear Stern-Volmer equation in extended range of Fe(2,4-DHSalophen)Cl concentration. Thermal denaturation experiments represent the increasing melting temperature of DNA (about $4.3^{\circ}C$) due to binding of Fe(2,4-DHSalophen)Cl. These results are consistent with a binding mode dominated by interactions with the groove of ct-DNA.