• Structural Engineering and Mechanics
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• 제33권5호
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• pp.621-633
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• 2009

In this paper we compare the solution of the one-dimensional beam model and the numerical solution of the two-dimensional linearized elasticity problem for rectangular domain of the beam-like form. We first derive the beam model starting from the two-dimensional linearized elasticity, the same way it is derived from the three-dimensional linearized elasticity. Then we present the numerical solution of the two-dimensional problem by finite element method. As expected the difference of two approximations becomes smaller as the thickness of the beam tends to zero. We then analyze the applicability of the one-dimensional model and verify the main properties of the beam modeling for thin beams.

• 한국구조물진단유지관리공학회 논문집
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• 제6권3호
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• pp.97-102
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• 2002

Two dimensional Analysis has been applied to most of tunnel lining design in these days. Two dimensional analysis uses beam or curved beam element for finite element method. But because the behaviors of tunnel concrete lining structure is near to shell, it is required to model the tunnel lining as shell structure for safety design of tunnel lining structure. In this paper, two dimensional analysis by beam element and the three dimensional analysis by shell element of tunnel concrete lining are studied, in which 3 type of tunnel lining and lateral pressure factors are considered. As results of the study, three dimensional analyses of the behavior of tunnel concrete lining structure considering lateral pressure factor shows that the moment of three dimensional analysis is greater than those of two dimensional analysis. The results shows that three dimensional analysis is necessary for safety design of tunnel lining.

• Journal of Ship and Ocean Technology
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• 제3권3호
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• pp.13-24
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• 1999

In this paper, a 2-dimensional novel beam element is developed and a method to replace the 3-dimensional analysis with 2-dimensional analysis is proposed. The developed novel beam element named rigid-ended beam element can consider the effect of three kinds of span points within one element, which was impossible in modeling with the ordinary beam element. Calculated results for the portal frame using the rigid-ended beam element agree with the results using membrane element. And also, the proposed simplified 3- dimensional analysis method which includes two step analysis using influence coefficients shows good accuracy. Structural analysis using the rigid-ended beam element and the simplified 3-dimensional method is revealed to have good computing efficiency due to unnecessity of the elements corresponding to the brackets and simplification of 3-dimensional analysis.

• 한국해양공학회지
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• 제18권2호
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• pp.52-57
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• 2004

Preflex beam is a method of construction designed to hold the pre-compressive stresses over the concrete pier by the preflexion load. During the fabrication of the girder, welding causes residual stresses. The welding residual stresses must be relieved in order to generate the accurate compressive pre-stresses. In this study, to determine the thermal distribution characteristics on the girder by welding, both three-dimensional finite element analysis and two-dimensional finite element analysis, in a quasi-steady state, is carried out. After comparing each result between the three-dimensional analysis and the two-dimensional analysis, finite element analysis is carried out against the actual girder, and the welding thermal distribution characteristic over the preflex beam is analyzed. It is possible to provide the input data for the analysis of the welding residual stresses.

• Mass Spectrometry Letters
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• 제14권4호
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• pp.147-152
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• 2023

The increasing demand for two-dimensional imaging analysis using optical or electronic microscopic techniques has led to an increase in the use of simple one-dimensional and two-dimensional mass spectrometry imaging. Among these imaging methods, secondary-ion mass spectrometry (SIMS) has the best spatial resolution using a primary ion beam with a relatively insignificant beam diameter. Until recently, SIMS, which uses high-energy primary ion beams, has not been used to analyze molecules. However, owing to the development of cluster ion beams, it has been actively used to analyze various organic molecules from the surface. Researchers and commercial SIMS companies are developing cluster ion beams to analyze biological samples, including amino acids, peptides, and proteins. In this study, a water droplet ion beam for surface analysis was realized. Water droplets ions were generated via electrospraying in a vacuum without desolvation. The generated ions were accelerated at an energy of 10 keV and collided with the target sample, and secondary ion mass spectra were obtained for the generated ions using ToF-SIMS. Thus, the proposed water droplet ion-beam device showed potential applicability as a primary ion beam in SIMS.

• Structural Engineering and Mechanics
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• 제35권6호
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• pp.677-697
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• 2010

This paper focuses on geometrically non-linear static analysis of a simply supported beam made of hyperelastic material subjected to a non-follower transversal uniformly distributed load. As it is known, the line of action of follower forces is affected by the deformation of the elastic system on which they act and therefore such forces are non-conservative. The material of the beam is assumed as isotropic and hyperelastic. Two types of simply supported beams are considered which have the following boundary conditions: 1) There is a pin at left end and a roller at right end of the beam (pinned-rolled beam). 2) Both ends of the beam are supported by pins (pinned-pinned beam). In this study, finite element model of the beam is constructed by using total Lagrangian finite element model of two dimensional continuum for a twelve-node quadratic element. The considered highly non-linear problem is solved by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. In order to use the solution procedures of Newton-Raphson type, there is need to linearized equilibrium equations, which can be achieved through the linearization of the principle of virtual work in its continuum form. In the study, the effect of the large deflections and rotations on the displacements and the normal stress and the shear stress distributions through the thickness of the beam is investigated in detail. It is known that in the failure analysis, the most important quantities are the principal normal stresses and the maximum shear stress. Therefore these stresses are investigated in detail. The convergence studies are performed for various numbers of finite elements. The effects of the geometric non-linearity and pinned-pinned and pinned-rolled support conditions on the displacements and on the stresses are investigated. By using a twelve-node quadratic element, the free boundary conditions are satisfied and very good stress diagrams are obtained. Also, some of the results of the total Lagrangian finite element model of two dimensional continuum for a twelve-node quadratic element are compared with the results of SAP2000 packet program. Numerical results show that geometrical nonlinearity plays very important role in the static responses of the beam.

• Journal of Astronomy and Space Sciences
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• 제7권2호
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• pp.113-123
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• 1990

전자 beam이 중성 plasma계에 들어왔을 때의 상호작용을 이차원 정전 model을 사용하여 수치계산을 한 결과 beam의 밀도변화에 따라 상호작용이 큰 변화를 보이는 것으로 나타났다. beam 전자의 밀도가 주변 전자의 밀도보다 낮을 때는 많은 양의 beam들이 주변 plasma와의 상호작용을 통해 위상공간에서 vortex 구조를 보이며 입사지역으로부터 멀리 진행할 수 있었던 반면 beam 전자들의 밀도가 높을 때는 대부분의 beam 전자들이 입사지역으로 되돌아오는 희귀전류를 형성하였다. 이 때 자기장의 게기에 따라 전자보다 훨씬 질랴이 큰 ion들이 가속될 수도 있으며 전자들의 전파와 상호작용의 양상이 크게 바뀔 수 있는 것으로 나타났다.

• 한국전기전자재료학회논문지
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• 제16권6호
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• pp.515-521
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• 2003

There are now many theoretical investigations and real manufactures for numerous applications of photonic crystals (PCs) associated with photonic band gap and photonic integrated circuits. However, there are some difficulties to design and fabricate the desired pattern quality. It is not easy to satisfy accurate critical dimension (CD) for patterns with arbitrary shapes and pitch sizes aligned in various directions. In this work, we report the optimum conditions to better fabricate and design, and greatly improve pattern quality in delineating two-dimensional (2D) PCs in the nanometer range using single- step e-beam lithography system with conventional exposure mode.

• 대한조선학회논문집
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• 제34권3호
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• pp.76-84
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• 1997

초기설계 단계에서는 선체구조 강도의 신속한 해석을 위해 보요소를 사용한 유한요소 해석이 일반적으로 사용된다. 선체구조를 보요소로 모델링할 때, 브라켓은 해석의 간편화를 위해 강체 요소로 표시된다. 강체 단부의 길이(=span point)는 세 가지 관점 - 굽힘, 전단, 축 변형 - 에 따라서 결정된다. 본 논문에서는, 새로운 2차원 보요소를 개발하였고, 2차원 해석으로 3차원 해석을 대신할 수 있는 방법을 제안하였다. '강체 단부 보요소' 라고 명명된 이 보요소는 한 요소 내에서 세 종류의 span point 효과를 모두 고려할 수 있는데, 이것은 보통의 보요소에서는 불가능한 것이다. 강체 단부 보요소를 사용한 Portal frame 해석결과는 membrane 해석결과와 잘 일치한다. 그리고, 영향계수를 사용한 2단계 해석을 포함하는 준 3차원 해석결과는 좋은 정확도를 보이고 있다. 강체 단부 보요소와 준 3차원 해석방법을 사용한 구조해석은 브라켓에 해당하는 요소가 필요치 않고, 3차원 해석을 단순화시킬 수 있었기 때문에 좋은 계산효율을 가진 것으로 판명되었다.

• 대한토목학회논문집
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• 제4권3호
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• pp.53-61
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• 1984

본(本) 연구(硏究)에서는 2차원(次元) 탄성(彈性) 뼈대 구조물(構造物)의 기하학적(幾何學的) 비선형(非線型) 해석(解析)을 위하여 Total Lagrangian 방법(方法)에 의한 보 유한요소(有限要素)(NB6)의 Formulation을 보여주고 있다. 이 보 요소(要素)는 3 차원(次元) 연속체(連續體)로부터 깊은 보 가정(假定) 이용(利用)하여 유도(誘導)되며 3개(個)의 기준절점(基準節點)과 3개(個)의 상대절점(相對節點)으로 이루어진다. 보의 운동방정식(運動方程式)은 Galerkin의 가중잔차법(加重殘差法)으로 Discretization 되며 요소강도(要素剛度) 및 질량(質量)매트릭스는 Newton-Raphson 방법(方法)으로 해하중(每荷重) 단계(段階)마다 반복계산(反復計算)되어 감소적분법(減少積分法)으로 구해진다. 본(本) 연구(硏究)에서 제안(提案)되는 NB6 비선형(非線形) 보 요소(要素) 정확도(正確度)와 효율성(效率性) 고찰(考察)하기 위하여 몇 가지 예제(例題) 해석(解析)하였다.