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A Model to Analyze the Optimal Purchase of the Cleaner Vehicles: A Game Theoretic Approach (저공해차량의 최적구매행태 분석모형: 게임이론적 접근)

  • Cho, In-Sung
    • Korean Business Review
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    • v.21 no.1
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    • pp.1-17
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    • 2008
  • This article examines the establishment of the game theoretic model for the cleaner vehicles and analyzes the established model. We discuss the way to represent the players' preferences over the outcomes to make the model applicable in real practice. In this article we employ the real data to represent the preferences. In the analysis of the model we consider various scenarios and discuss how we can use GAMBIT, which is a game theory analysis software, to find solutions in each proposed scenario.

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구대칭 일반상대론적 유체역학 코드의 개발

  • Park, Dong-Ho
    • The Bulletin of The Korean Astronomical Society
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    • v.38 no.1
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    • pp.75.1-75.1
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    • 2013
  • 자체의 중력 효과를 고려하는 구대칭 완전 유체 전산모사 연구를 위해 일반상대론적 유체역학 코드를 이 분야 연구자들을 위한 공개용으로 개발하였다. 이 코드는 3+1 ADM(Arnowitt-Deser-Misner) 공식과 등방 공간 좌표를 사용하였다. 시공간 기하를 구하기 위해 극한값 썰기 (maximal slicing) 조건과 함께 세 개의 제한 방정식을 풀었고, 시공간을 채우는 물질인 유체는 근사 리만 해법을 사용한 HRSC (high resolution shock capturing) 기법으로 오일러 관찰자 시점에서 풀었다. 이 코드의 수렴성과 정확성을 검증하기 위해 상대론적인 구대칭 충격파 비교 분석, 블랙홀로 빨려 들어가는 상대론적 구대칭 강착, TOV(Tolman-Oppenheimer-Volkoff) 별 및 OS (Oppenheimer-Snyder) 붕괴 코드 테스트를 수행하였다. 특히, 이 코드의 동적 진화 테스트인 OS 붕괴의 경우 해석적인 해와 결과를 비교하기 위하여 좌표변환을 수치 계산으로 수행하였다. 아인슈타인의 일반상대성 이론을 넘어서는 변형된 중력이론 중 하나로 최근 제시된 EiBI(Eddington-inspired Born-Infeld) 이론에서 TOV 별의 해가 일반상대성 이론과 어떠한 차이를 보이는지 살펴 보았고, 그 이론에서도 물질이 붕괴하여 블랙홀을 만드는 경우 특이점이 형성되는지 고찰해 보았다.

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General Steady-State Shape Factors in Analyzing Slug Test Results to Evaluate In-situ Hydraulic Conductivity of Vertical Cutoff Wall (순간변위시험(slug test)시 연직차수벽의 현장투수계수를 산정하기 위한 형상계수 연구)

  • Lim, Jee-Hee;Lee, Dong-Seop;Nguyen, Thebao;Choi, Hang-Seok
    • Journal of the Korean Geotechnical Society
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    • v.27 no.10
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    • pp.105-116
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    • 2011
  • No analytical solution exists for evaluating in-situ hydraulic conductivity of vertical cutoff walls by analyzing slug test results. Recently, an analytical solution to interpret slug tests has been proposed for a partially penetrated well in an aquifer. However, this analytical solution cannot be directly applied to the cutoff wall because the solution has been developed exclusively for an infinite aquifer instead of a narrow cutoff wall. To consider the cutoff wall boundary conditions, the analytical solution has been modified in this study to take into account the narrow boundaries by introducing the imaginary well theory. Two boundary conditions are considered according to the existence of filter cakes: constant head boundary and no flux boundary. Generalized steady-state shape factors are presented for each geometric condition, which can be used for evaluating the in-situ hydraulic conductivity of cutoff walls. The constant head boundary condition provides higher shape factors and no flux boundary condition provides lower shape factors than the infinite aquifer, which enables to adjust the in-situ hydraulic conductivity of the cutoff wall. The hydraulic conductivities calculated from the analytical solution in this paper give about 1.2~1.7 times higher than those from the Bouwer and Rice method, one of the semi-empirical formulas. Considering the compressibility of the backfill material, the analytical solution developed in this study was proved to correspond to the case of incompressible backfill materials.

Theoretical analysis of the lightwave localization phenomenon on the random transmission line (part 1) : localization characteristics of the solution of propagation equation (랜덤 선로상의 광 국재현상에 관한 해석(1) : 해의 국재성에 대한 이론적 고찰)

  • 최영규
    • Korean Journal of Optics and Photonics
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    • v.14 no.4
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    • pp.429-433
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    • 2003
  • We try to analyse the localization phenomenon of a lightwave in random media by means of considering the solution of the propagation equation on a transmission line in which the propagation constants are randomly distributed. Lightwave localization is generated at the turning point where the solution is changed suddenly from an increase to a decrease. First, in order to investigate the changing process of the solution, we have derived the approximated one-dimensional Schrodinger equation from the two-dimensional wave equation by using the Brags condition. Considering the many types of solutions of the wave equation, we have investigated the conditions that allow the solutions to exist. Also, we have investigated the relationships between the localization of the solution and the variation of the propagation constant. In case of the exponential solution, we know that the permittivity $\varepsilon$=(0,0$\varepsilon$$_{0}$) is a very important parameter to influence the phase of the lightwave and to generate the localization.

Theoretical Study on the Flow of Refilling Stage in a Safety Injection Tank (안전주입탱크의 재충수 단계 유동에 대한 이론해석)

  • Park, Jun Sang
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.41 no.10
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    • pp.675-683
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    • 2017
  • In this study, a theoretical analysis was performed to the flow of refilling stage in a safety injection tank, which is the core cooling system of nuclear power plant in an emergency. A theoretical model was proposed with a nonlinear governing equation defining on the flow of the refilling process of the coolant. Utilizing the Taylor-series expansion, the $1^{st}$ - order approximation flow equation was obtained, along with its analytic solution of closed type, which could predict accurately the variations of free surface height and flow rate of the coolant. The availability of theoretical result was confirmed by comparing with previous experimental results.

섭동을 고려한 위성편대비행 연료 최적 재배치 문제에 대한 근사 해석해 연구

  • Lee, Sang-Jin;Park, Sang-Yeong
    • Bulletin of the Korean Space Science Society
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    • 2010.04a
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    • pp.28.1-28.1
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    • 2010
  • 이 연구에서는 기존 선형 상대운동방정식에 차등중력, 주위성의 이심율, J2 섭동 등의 비선형항을 추가하여 보다 정확한 상대운동방정식을 만든 후 섭동이론을 적용하여 위성편대 연료최적화 재배치 문제에 대한 근사 해석해를 구하고자 한다. 먼저, 비선형 섭동항을 테일러 급수를 이용하여 2차항까지 전개한 후, 이를 기존 선형상대운동방정식에 추가하여 새로운 비선형 상대운동방정식을 만든다. 이 때 사용된 선형상대운동방정식은 힐스 방정식으로 주위성의 궤도가 일반적인 타원이고 위성 간 상대거리가 충분히 가깝다고 가정한다. 최적화 조건으로부터 상태벡터와 라그랑지 곱수로 이루어진 연립 미분방정식이 만들어 지는데, 이 식은 힐스 방정식에 기인한 선형부분과 2차 비선형항에 기인한 섭동부분으로 나뉜다. 이 때, 이 연립미분방정식의 해는 선형부분의 해와 섭동으로 인한 변화량의 합으로 근사할 수 있으며 그 변화량은 섭동이론을 적용하여 얻을 수 있다. 이와 같이 얻어진 해는 여러 섭동의 비선형항을 2차까지 포함한 상대운동방정식을 사용했기 때문에, 기존 선형상대운동방정식을 사용하여 구한 최적해 보다 더 정확한 결과를 얻을 것이라 예상한다.

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Analysis of a Complete Contact Problem in Bonded Condition: Comparison of Experimental-Numerical Analyses and Theoretical Solutions (응착조건의 완전접촉문제 해석: 실험 및 수치해석과 이론해의 비교)

  • Kim, Hyung-Kyu;Jang, Jae-Won;Lee, Soon-Bok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.6
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    • pp.583-588
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    • 2015
  • Asymptotic method has been often used to theoretically analyze the complete contact problem. The error of the asymptotic results increases as the distance from the contact edge increases. The singularity cannot be properly obtained from a finite element (FE) analysis owing to the finiteness of the element size. In the present work, the complete contact problem in bonded condition is analyzed using a combined experimental-numerical approach to assist and/or compare with the asymptotic results. Al and Cu alloys are used for the material combination of the punch and substrate. 120 and 135 degrees are used for the punch angle. The FE models are validated by comparison of displacement distributions obtained by the FE analysis and $moir{\acute{e}}$ experiment. Generalized stress intensity factors are evaluated using the validated FE models. Stress field in the vicinity of the sharp contact edges obtained from the FE and asymptotic analyses are compared. The discrepancies are also discussed.

A Variational Numerical Method of Linear Elasticity through the Extended Framework of Hamilton's Principle (확장 해밀턴 이론에 근거한 선형탄성시스템의 변분동적수치해석법)

  • Kim, Jinkyu
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.1
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    • pp.37-43
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    • 2014
  • The extended framework of Hamilton's principle provides a new rigorous weak variational formalism for a broad range of initial boundary value problems in mathematical physics and mechanics in terms of mixed formulation. Based upon such framework, a new variational numerical method of linear elasticity is provided for the classical single-degree-of-freedom dynamical systems. For the undamped system, the algorithm is symplectic with respect to the time step. For the damped system, it is shown to be accurate with good convergence characteristics.

Semi -analytical Solution for Azisymmetric Tunnels in Drucker Prayer Medium (Drucker-Prager 파괴기준을 적용한 축대칭 탄소성 터널의 이론해)

  • 김광진;김학문
    • Geotechnical Engineering
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    • v.13 no.2
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    • pp.169-184
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    • 1997
  • A semi -analytical solution is derived to solve the elastic-plastic behavior of the axisymmetric tunnels in Drucker-Prager medium. Based on this analytical solution, a computer program FDAXP. is developed. Parametric studies are carried out to verify the FDAXP program, and the results were found to be satisfactory. This simple solution could be incorporated into the preliminary design, analysis of deep underground tunnel as well as tunnels with unfavourable geotechnical conditions. The program provided a useful means of checking the Drucker-Eraser model and iris associated computational algorithms in other tunnel programs.

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Performance Evaluation of Curved Bridge Corresponding to Changed Curvature (곡선교량의 곡률에 의한 정적 거동 평가)

  • Jeon, Jun-Tai;Son, Ho-Young;Ju, Bu-Seog
    • Proceedings of the Korean Society of Disaster Information Conference
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    • 2017.11a
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    • pp.141-142
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    • 2017
  • 우리나라와 같이 산악지형이 많은 곳에서는 불가피하게 곡선형태의 교량을 적용해야하는 경우가 빈번하게 발생한다. 또한 곡선교량은 지형적 제약 조건으로 인한 적용 이외 에도 경관적 아름다움으로 인해 많이 건설되고 있는 추세이다. 이러한 곡선 교량의 경우 직선 교량보다 형상적인 문제로 비틀림과 뒤틀림으로 인해 다른 거동 양상을 보이며 특히 동적인 거동에서는 매우 다른 거동 형태를 보인다고 할 수 있다. 따라서 본 연구에서는 곡선 보의 유한요소 모델을 구축하여 정적해석을 수행하고 이를 이론해와 비교하여 검증하고자 하며 결과적으로 구축된 유한요소 모델의 결과와 이론해의 결과와 잘 부합한다고 판단된다.

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