• East Asian mathematical journal
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• 제34권5호
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• pp.661-681
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• 2018

In this paper, we discuss a reduced-order modeling for the Benjamin-Bona-Mahony-Burgers (BBMB) equation and its application to a distributed feedback control problem through the centroidal Voronoi tessellation (CVT). Spatial distcritization to the BBMB equation is based on the finite element method (FEM) using B-spline functions. To determine the basis elements for the approximating subspaces, we elucidate the CVT approaches to reduced-order bases with snapshots. For the purpose of comparison, a brief review of the proper orthogonal decomposition (POD) is provided and some numerical experiments implemented including full-order approximation, CVT based model, and POD based model. In the end, we apply CVT reduced-order modeling technique to a feedback control problem for the BBMB equation.

• Journal of Magnetics
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• 제17권4호
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• pp.285-290
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• 2012

Electric Power Steering (EPS) system is superior to conventional Hydraulic Power Steering (HPS) system in aspect of fuel economy and environmental concerns. The EPS system consists of torque sensor, electric motor, ECU (Electric Control Unit), gears and etc. Among the elements, the torque sensor is one of the core technologies of which output signal is used for main input of EPS controller. Usually, the torque sensor has used torsion bar to transform torsion angle into torque and needs linear characteristic in terms of flux variation with respect to rotation angle of permanent magnet. The torsion angle of both ends of a torsion bar is measured by a contact variable resistor. In this paper, the sensor is accurately analyzed using 3D finite element method and its characteristics with respect to four different shapes of the stator teeth are compared. The four shapes are rectangular, triangular, trapezoidal and circular type.

• 한국디지털건축인테리어학회논문집
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• 제13권2호
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• pp.17-25
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• 2013

It is important to eliminate thermal bridge for achieving passive and environmental-friendly buildings. Structural members may frequently act as thermal bridges that become a conduit of energy. it is emphasized that thermal bridge breaker (TBB) system is necessary for blocking thermal bridge of the structural members. This TBB system has to maintain a performance to tensile and compressive stress which arises in member section in order to being realized structurally. Thus, it is composed with anchorage devices which obtain continuity with structural members inside building and rebar of cantilever balcony, and compression joint which resist compression stress occurring to TBB. Applying method of TBB's compression joint is designed to have high strength with comparatively small element section which can cover external load. This study carried out finite elements method based on compression experiment. Throughout the FEM analysis, this study provides information on finding optimal shape for compression joint of TBB which can suitably apply to current building balcony of Korea.

• 한국가스학회지
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• 제19권1호
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• pp.18-22
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• 2015

본 연구는 LPG 강재용기에서 상단반구와 하단반구의 코너반경이 응력강도 안전성에 미치는 영향을 FEM으로 해석한 것이다. FEM 해석결과에 의하면, 응력강도 안전성에 큰 영향을 미치는 요소는 용기의 두께보다 상단반구 및 하단반구의 코너반경이다. 그러나 강재용기의 두께는 경량화에 직결되기 때문에 간과해서는 안 되는 중요한 설계요소이다. LPG 강재용기의 강도안전성 검사에서 최고시험압력이 3.04MPa임을 감안할 때, 20kg용 LPG 강재용기의 두께는 2.3~2.6mm, 상단반구와 하단반구의 코너반경은 157mm 이상으로 최적화 설계하는 것이 바람직함을 알 수 있다.

• 지구물리와물리탐사
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• 제11권2호
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• pp.85-92
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• 2008

자기지전류(MT)법은 지열조사에 효과적인 기술로 널리 적용되고 있다. 지열 지역의 복잡한 구조를 효율적으로 밝히기 위해서 보통 2차원 해석이 사용된다. 2차원 유한요소법(FEM)은 MT 해석을 위해 자주 사용되지만 소위 보조장의 계산 정밀도에는 주위를 기울어야 한다. Rodi (1976)는 보조장의 계산 정밀도를 향상시키는 방법을 제안하고 MOM 법이라 명명하였다. 그러나 이 방법은 유한요소 전체방정식의 대각 요소에 0을 추가하기 때문에 이를 풀 때 pivoting이 필요해 계산 효율이 떨어진다. 원래 MOM 법은 주로 역산 해석을 위해 고안된 것으로서 전기장과 자기장의 편미분을 동시에 구할 때 유용하다. 만일 모델링만이 필요하면 MOM 법을 경유하여 계수행렬을 수정하지 않아도 보조장을 FEM 해에서부터 직접 유도할 수 있다. 또한 MOM 법의 계산효율도 전체방정식 계수행렬의 행을 적절히 교환하면 크게 향상될 수 있다.

• 대한기계학회논문집A
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• 제33권8호
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• pp.767-772
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• 2009

Laser shock peening(LSP) is proving to be better surface treatment than conventional one such as shot peening. The LSP process has a compressive residual stress into a metal alloy and a significant improvement in fatigue life. Our research is focused on applying finite element method to the prediction of residual stress through the LSP processing in some LSP conditions such as pressure and spot size induced by laser. Two analysis methods are considered to calculating the compressive residual stress. But the explicit solution and the static one after partially explicit solving are almost same. In LSP, because of very high strain rate($10^6s^{-1}$), HEL(Hugoniot Elastic Limit) is the most important parameter in material behavior modeling. As the circular laser spot is considered, 2-D axisymmetric elements are used and the infinite elements are applied to boundaries for no reflection. The relations of material properties and the LSP are also important parts in this study.

• Journal of Welding and Joining
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• 제31권1호
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• pp.51-57
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• 2013

Residual stress caused in the weldments with high restraint force are often observed during welding in the weldments of Inner and outdoor materials or radial tanks. The reason is that quantitative analysis about thermal stresses during laser welding is lacking for this weldments. To verify Finite Elements Method (FEM) theory, the temperature was measured with thermocouple in a real time in this paper. Also analysis of the thermal stress for welding condition is performed by Comsol program package on various welding condition in SCP1-S butt welding. The principal stress in laser welding process is seen through the width direction. Also, it was confirmed that a change in base metal by thermal expansion made the stress in width direction stronger. Base metal close to the weld bead as the process progresses to the tensile stress in the compressive stress was varied. It was shown that the change of stress was quantitative from the bead at a certain distance.

• 한국진공학회지
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• 제14권1호
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• pp.35-39
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• 2005

본 실험에서는 단위요소 사이에 채널을 갖는 Elementwise Patterned Stamp (이하 EPS)를 이용하여 싱글스탭 (single step)으로 4인치 웨이퍼를 임프린트 하는 공정을 수행하였다. 단위요소간의 간격이 3m인 EPS를 이용한 임프린트에서 50 - 100nm급의 패턴을 성공적으로 형성하였다. 그러나 임프린트 과정 중 EPS의 채널 부분에서 웨이퍼의 미소변형이 발생하여 단위요소의 미충전과 불균일한 잔여층이 형성되는 문제들이 발생하였다. 본 논문에서는 이러한 웨이퍼의 미소변형이 단위요소 충전과 패턴형성에 미치는 영향을 확인해 보기 위해 웨이퍼의 두께를 100 - 500㎛로 변화시켜가며 임프린트 실험을 수행하였고, 유한요소법(Finite Element Method, FEM)을 이용한 수치모사를 통하여 실험결과를 확인하였다. 또한 웨이퍼의 미소변형이 발생하는 또 다른 요인인 EPS의 채널 폭을 3mm, 2mm, 1mm로 변화시키며 수행한 수치모사를 통하여 안정된 임프린트 조건을 제시하였다.

• 비파괴검사학회지
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• 제20권3호
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• pp.191-199
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• 2000

본 논문에서는 3차원 형태의 결함을 가진 관에 대한 와전류탐상의 유한요소 수치해석에 대하여 연구하였다. 3차원 와전류탐상 문제를 기술할 수 있는 전자기 수치해석기법으로 3차원 유한요소법을 사용하였다. 맥스웰방정식으로부터 지배방정식을 구하고, 갤러킨 가중잔차법을 이용하여 유한요소정식화를 수행하였다. 해석대상으로는 INCONEL 600 증기발생기 전열관을 사용하였으며, 관의 내부 및 외부에 존재하는 결함을 모델링하여 수치해석을 수행하고, 임피던스로 표현되는 와전류탐상 신호를 계산하였다. 결함 시험편에 존재하는 결함에 대하여 본 논문에서 계산된 결과와 실험결과를 비교하였으며, 잘 일치하는 결과를 얻어 본 논문에서 제안된 수치해석 방법의 타당성을 검증하였다. 이를 바탕으로 결함의 깊이 변화(38%, 58%, 75%) 및 원주방향으로의 결함각도 변화$90^{\circ},\;180^{\circ},\;270^{\circ},\;360^{\circ}$)에 따른 탐상 신호를 계산하여 결함의 크기변화에 따른 신호의 변화특성을 살펴보았다.

• Structural Engineering and Mechanics
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• 제62권5호
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• pp.643-649
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• 2017

Masonry walls are amongst the oldest building systems. A large portion of the research on these structures focuses on the load-bearing walls. Numerical methods have been generally used in modelling load-bearing walls during recent years. In this context, macro and micro modelling techniques emerge as widely accepted techniques. Micro modelling is used to investigate the local behaviour of load-bearing walls in detail whereas macro modelling is used to investigate the general behaviour of masonry buildings. The main objective of this study is to investigate the elastic behaviour of the load- bearing walls in masonry buildings by using micro modelling technique. In order to do this the brick and mortar units of the masonry walls are modelled by the combination of plane truss elements and plane frame elements with no shear deformations. The model used in this study has fewer unknowns then the models encountered in the references. In this study the vertical frame elements have equivalent elasticity modulus and moment of inertia which are calculated by the developed software. Under in-plane static loads the elastic displacements of the masonry walls, which are encountered in literature, are calculated by the developed software, where brick units are modelled by plane frame elements, horizontal joints are modelled by vertical frame elements and vertical joints are modelled by horizontal plane truss elements. The calculated results are compatible with those given in the references.