• Journal of the Computational Structural Engineering Institute of Korea
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• v.26 no.4
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• pp.213-221
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• 2013

This paper introduces a mesh continuation scheme for a one-dimensional inverse medium problem to reconstruct the spatial distribution of elastic wave velocities in heterogeneous semi-infinite solid domains. To formulate the inverse problem, perfectly-matched-layers(PMLs) are introduced as wave-absorbing boundaries that surround the finite computational domain truncated from the originally semi-infinite extent. To tackle the inverse problem in the PML-truncated domain, a partial-differential-equations(PDE)-constrained optimization approach is utilized, where a least-squares misfit between calculated and measured surface responses is minimized under the constraint of PML-endowed wave equations. The optimization problem iteratively solves for the unknown wave velocities with their updates calculated by Fletcher-Reeves conjugate gradient algorithms. The optimization is performed using a mesh continuation scheme through which the wave velocity profile is reconstructed in successively denser mesh conditions. Numerical results showed the robust performance of the mesh continuation scheme in reconstructing target wave velocity profile in a layered heterogeneous solid domain.

• Computational Structural Engineering
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• v.7 no.4
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• pp.57-67
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• 1994

It is usual that underground structures are constructed within a multi-layered medium. In this paper, an efficient numerical modelling of multi-layered structural systems is studied using coupled analysis of finite elements and boundary elements. The finite elements are applied to the area in which the material nonlinearity dominates, and the boundary elements are applied to the far field where the nonlinearity is relatively weak. In the boundary element modelling of the multi-layered medium, fundamental solutions are not readily available. Thus, methods which can utilize existing Kelvin solutions are sought for the interior multi-layered domain problem. The interior domain problem which has piecewise homogeneous layers is analyzed using boundary elements with Kelvin solution, by discretizing each homogeneous subdomain and enforcing compatibility and equilibrium conditions between interfaces. Developed methodology is verified by comparing its results with those from the finite element analysis and it is concluded that coupled analysis using boundary elements and finite elements can be reasonable and efficient.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.11 no.1
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• pp.45-53
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• 1991

The underground structure, which has infinite or semi-infinite boundary conditions, is subjected by body forces and in-situ stresses. It also has stress concentration, which causes material nonlinear behavior, in the vicinity of the excavated surface. In this paper, some methods which can be used to transform domain integrals into boundary integrals are reviewed in order to analyze the effect of the body forces and the in-situ stresses. First, the domain integral of the body force is transformed into boundary integral by using the Galerkin tensor and divergence theorem. Second, it is transformed by writing the domain integral in cylindrical coordinates and using direct integration. The domain integral of the in-situ stress is transformed into boundary integral applying the direct integral method in cylindrical coordinates. The methodology is verified by comparing the results from the boundary element analysis with those of the finite element analysis. Coupling the above boundary elements with finite elements, the nonlinear behavior that occurs locally in the vicinity of the excavation is analyzed and the results are verified. Thus, it is concluded that the domain integrals of body forces and in-situ stresses could be performed effectively by transforming them into the boundary integrals, and the nonlinear behavior can be reasonably analyzed by coupled nonlinear finite element and boundary element method. The result of this research is expected to he used for the analysis of the underground structures in the effective manner.

• The Journal of the Acoustical Society of Korea
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• v.25 no.5
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• pp.229-238
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• 2006

This paper shows the analytic error caused by the inconsistency of the approximation order between the non local boundary condition (NLBC) and the parabolic governing equation. To obtain the analytic error, we first transform the NLBC to the half space domain using plane wave analysis. Then, the analytic error is derived on the boundary between the true numerical domain and the half space domain equivalent to the NLBC. The derived analytic error is physically expressed as the artificial reflection. We examine the characteristic of the analytic error for the grazing angle, the approximation order of the PE or the NLBC. Our main contribution is to present the analytic method of error estimation and the application limit for the high order parabolic equation and the NLBC.

• Proceedings of the KIPE Conference
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• 2011.07a
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• pp.99-100
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• 2011

본 논문에서는 전압평면에서 표면 부착형 영구자석 동기전동기(Surface Mounted Permanent Magnet Synchronous Motor, SPMSM)의 전압과 전류 제한에 따른 운전 영역을 분석하고, 무한 속도 제한을 갖는 SPMSM에 적용 가능한 전압 궤환을 이용한 약자속 제어 기법을 제안한다. 제안된 기법은 시뮬레이션을 통해 그 타당성을 검증하였다.

• Computational Structural Engineering
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• v.6 no.1
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• pp.11-16
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• 1993

진동기초의 해석 및 설계에서의 주요사항은 진동하중자체의 특성을 산정하는 것과 기초구조의 수평, 수직, Rocking, Pitching 응답의 해석 및 수평-Rocking이 연계된 운동의 해석이다. 현재 사용되는 진동기초설계의 해석방법은 Reissner(1936)의 반무하지반영역 위에 놓인 원형강판에 대한 해석적 결과를 이용한 여러가지 변형된 방법이 사용되고 있다. 이러한 진동기초의 해석방법은 지반의 모형화하는 방법에 따라 탄성 반무한영역으로 지반을 모형화하는 경우 (Reissner(1936), Shekhter(1948), Sung(1953), Quinlan(1953), 등)와 감쇠-탄성스프링에 의해 지반을 모형화하는 경우 (Lysmer and Richart(1966), Barkan(1962), 등)로 나눌 수 있다. 최근의 실제 설계에는 선형스프링 이론을 바탕으로 하여, 감쇠효과와 진동에 참여하는 흙의 질량영향을 무시하는 Barakan(1962)의 방법이 많이 사용되고 있다.

• Proceedings of the Korean Nuclear Society Conference
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• 1995.05b
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• pp.805-812
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• 1995

산업의 다변화로 인한 에너지의 수요는 증가하고 있고 이에 따라 핵연료의 사용과 사용 후 연료의 안전한 처분은 큰 관심사가 되고 있다. 본 연구에서는 사용후 핵연료의 폐기에 따른 지하동굴의 해석을 비선형 유한요소와 경계요소의 조합에 의하여 수행하였다. 지하 암반의 열 하중에 의한 거동을 해석하기 위해 응력이 집중되는 대상영역은 유한요소로, 무한영역에는 경계요소를 적용하여 해석하였다.

• Proceedings of the Korea Society for Industrial Systems Conference
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• 1996.10a
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• pp.103-109
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• 1996

무한 산란체나 해석적 해가 없는 구조에 대해 회절계수를 구하기 위해 사용되어지는 GTD-MM 혼합기법은 회절전류에 대한 사전 지식이 요구되면 모멘트법 해석영역 범위와 GTD 해석영역에서의 정합점의 결정이 산란해의 정확도에 큰 영향을 미침에도 불구하고 경험적 결정에 의존하고 있는 등 많은 문제점들이 있다. 본고에서는 이러한 문제점을 살펴보고 그 해결방안을 모색하였다.

• Proceedings of the Korea Contents Association Conference
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• 2019.05a
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• pp.185-186
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• 2019

수는 인류 문명의 발달에 기여하여 왔으며 고대 철학자들의 사유의 대상이 되어 왔다. 수는 간단히 사물을 세는 수에서 도형, 논리학, 허수, 무한, 등으로 그 영역이 확대 되어 현대에는 추상화되어 왔다. 수학은 새로운 사상과 사유의 영향으로 새로운 영역이 개척되기도 하였는데 본 논문은 좌표상의 수가 관찰자의 의식과의 상호 작용을 통하여 존재한다고 제시하였다. 여기서 관찰자 의식을 배타수를 이용하여 표현하는 것을 시도하였다. 이러한 점의 존재에 대한 사유가 우주의 시원에 대한 것과 연관이 있음을 살펴보고자 한다.

• Computational Structural Engineering
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• v.4 no.4
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• pp.135-144
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• 1991

The finite element technique incorporatating infinite elements is applied to analyzing the general three dimensional wave-structure interaction problems within the limits of linear wave theory. The hydrodynamic forces are assumed to be inertially dominated, and viscous effects are neglected. In order to analyze the corresponding boundary value problems efficiently, two types of elements are developed. One is the infinite element for modeling the radiation condition at infinity, and the other is the fictitious bottom boundary element for the case of deep water. To validate those elements, numerical analyses are performed for several floating structures. Comparisons with the results by using other available solution methods show that the present method incorporating the infinite and the fictitious bottom boundary elements gives good results.