• 전산구조공학
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• 제7권4호
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• pp.57-67
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• 1994

지하구조물의 주위지반은 일반적으로 퇴적층의 형성 또는 지각의 변동에 의해 다층구조를 가지게 되므로, 구조물 및 주위지반의 거동을 정확히 예측하기 위해서는 해석에 다층구조의 영향을 반영해야 한다. 본 연구에서는 다층으로 구성된 지하구조계를 대상으로 하여 구조물과 그 주변에는 비선형 유한요소를 사용하고, 비선형성이 상대적으로 미약한 주변 다층지반에는 선형 경계요소를 사용하여 재료의 비선형성과 비균질성을 고려한 효율적인 조합해석방법을 개발하고자 한다. 반무한영역에 설정되는 다층구조계를 경계요소로 해석할 경우 그 기본해가 제한되어 있으므로, 본 연구에서는 기존의 무한기본해를 이용하는 방법을 사용하였다. 무한기본해를 이용하는 내부영역문제의 경우 각각의 균질한 층을 부영역(subdomain)으로 분할하고 계방정식을 구성한 뒤에 접합면에 대하여 평형조건과 적합조건을 만족시켜 주는 방법을 사용하여 비균질성을 고려한다. 부영역으로 층을 분할한 내부영역문제의 경계요소해석 결과는 선형 유한요소해석 결과와 비교하여 검증하였고, 검증된 경계요소 프로그램을 비선형 유한요소 프로그램과 조합하였다. 조합해석 결과, 굴착부 주변의 응력집 중부에는 비선형 유한요소를 사용하고, 비선형의 영향이 미소한 주변의 다층지반에 대해서는 부영역에 의한 선형 경계요소를 사용하는 조합해석방법이 합리적이고 효율적임을 알 수 있었다.

• Nuclear Engineering and Technology
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• 제55권6호
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• pp.1974-1987
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• 2023

The load-following operation of small modular reactors (SMRs) requires accurate prediction of transient behaviors that can occur in the balance of plants (BOP) and the nuclear steam supply system (NSSS). However, 1-D thermal-hydraulics analysis codes developed for safety and performance analysis have conventionally excluded the BOP from the simulation by assuming ideal boundary conditions for the main steam and feed water (MS/FW) systems, i.e., an open loop. In this study, we introduced a lumped model of BOP fluid system and coupled it with NSSS without any ideal boundary conditions, i.e., in a closed loop. Various methods for coupling boundary conditions at MS/FW were tested to validate their combination in terms of minimizing numerical instability, which mainly arises from the coupled boundaries. The method exhibiting the best performance was selected and applied to a transient simulation of an integrated NSSS and BOP system of a SMART. For a transient event with core power change of 100-20-100%, the simulation exhibited numerical stability throughout the system without any significant perturbation of thermal-hydraulic parameters. Thus, the introduced boundary-condition coupling method and BOP fluid system model can expectedly be employed for the transient simulation and performance analysis of SMRs requiring daily load-following operations.

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.361-372
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• 2006

In this paper, we consider the multi-point boundary value problems for one-dimensional p-Laplacian at resonance: $({\phi}_p(x'(t)))'=f(t,x(t),x'(t))$, subject to the boundary value conditions: ${\phi}_p(x'(0))={\sum}^{n-2}_{i=1}{\alpha}_i{\phi}_p(x'({\epsilon}i)),\;{\phi}_p(x'(1))={\sum}^{m-2}_{i=1}{\beta}_j{\phi}_p(x'({\eta}_j))$ where ${\phi}_p(s)=/s/^{p-2}s,p>1,\;{\alpha}_i(1,{\le}i{\le}n-2){\in}R,{\beta}_j(1{\le}j{\le}m-2){\in}R,0<{\epsilon}_1<{\epsilon}_2<...<{\epsilon}_{n-2}1,\;0<{\eta}1<{\eta}2<...<{\eta}_{m-2}<1$, By applying the extension of Mawhin's continuation theorem, we prove the existence of at least one solution. Our result is new.

• 한국정밀공학회지
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• 제25권4호
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• pp.127-133
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• 2008

As the application of the MEMS parts increases, the structural safety of MEMS appears importantly. A lot of MEMS parts are made by a multi-grain silicon wafer, which is an orthotropic material. Moreover directions of the materials on each grain are distributed randomly. The stress analysis for the multi-grain is important factor in order to apply the MEMS parts to industrial applications. The finite element method (FEM) is commonly used by a stress analysis method but the boundary element method (BEM) is known as the result of the BEM is more accurate than that of the FEM since the fundamental solution are used. In this study, we derived the boundary integration equation for the orthotropic material by applying fundamental solutions with complex variables. The multi-region analysis procedure for the BEM and the multi-grain generation procedure by a random process technique are developed in order to apply the analysis of the multi-grain orthotropic material. The discontinuous element is used in order to remove the comer problem in the BEM. The results of the present method are compared with those of the finite element method in order to verify the present procedure.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2004년도 ICCAS
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• pp.40-45
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• 2004

This work presents a boundary estimation approach in electrical impedance imaging for binary-mixture fields based on a parallel structured multi-layer neural network. The interfacial boundaries are expressed with the truncated Fourier series and the unknown Fourier coefficients are estimated with the parallel structure of multi-layer neural network. Results from numerical experiments shows that the proposed approach is insensitive to the measurement noise and has a strong possibility in the visualization of binary mixtures for a real time monitoring.

• 대한수학회보
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• 제49권4호
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• pp.815-827
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• 2012

The existence of $n$ positive solutions is established for second order multi-point boundary value problem at resonance where $n$ is an arbitrary natural number. The proof is based on a theory of fixed point index for A-proper semilinear operators defined on cones due to Cremins.

• Journal of applied mathematics & informatics
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• 제30권1_2호
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• pp.147-160
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• 2012

In this paper, we establish some sufficient conditions for the existence of positive solutions for a class of multi-point boundary value problem for fractional functional differential equations involving the Caputo fractional derivative. Our results are based on two fixed point theorems. Two examples are also provided to illustrate our main results.

• 한국디자인학회:학술대회논문집
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• 한국디자인학회 2004년도 춘계 학술발표대회 논문집
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• pp.112-113
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• 2004

• 한국항공우주학회지
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• 제37권10호
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• pp.947-954
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• 2009

본 연구에서는 다화학종 희박유동의 해석을 위해, GH(Generalized Hydrodynamic) 방정식을 기반으로 한 축대칭 유동 해석이 가능한 다화학종 GH 수치해석 기법을 전산유체역학 수치해석자로서 개발하였다. 최초로 구현된 다화학종 GH 수치기법은 축대칭 형상의 물체 주위의 극초음속 희박유동을 대상으로 하여, DSMC(Direct Simulation Monte Carlo) 및 N-S(Navier-Stokes) 방정식의 결과와의 비교를 통해 정확도를 검증하고자 하였다. GH 해석자의 정확도 향상을 위해 고체 벽면에서의 여러 가지 slip-wall 경계조건을 적용하고 각각의 결과를 비교하였다. 또한, 높은 Knudsen 수의 1차원 수직 충격파 구조 문제를 통해 GH 방정식의 엔트로피 특성 및 정확성을 고찰하였다.

• 농촌계획
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• 제19권4호
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• pp.307-317
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• 2013

The value and functionality of boundary barriers in rural villages have been neglected in the aspects as the buffer zone(boundary barrier) that links between the inside space(housing site) and the outside space(road). On this understanding, this study evaluated conservation value, economical efficiency and durability by the types and materials of the boundary barriers in rural village through Multi-attribute Decision Making. By applying to the current situations of boundary barriers on total 21 case study villages, each factor value was measured. And using Matrix Analysis Technique, the boundary barriers are classified into 4 types and the improvement ways for each type were proposed. As a result, the durability of boundary barriers in rural villages showed similarity value(more than 0.85 out of 1). But economical efficiency of those was low(less than 0.5 out of 1) and those functionalities were very lacking(about 0.3 out of 1). In the conclusion, the maintenance of boundary barriers in rural villages requires the policy that is able to complement conservation value and economical efficiency and is proper to the characteristic of each village. These renewable policies would contribute to the increase of the value of rural amenity as well as creation of economical and social value.