• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2001년도 봄 학술발표회 논문집
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• pp.26-33
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• 2001

This paper compares conventional beam analyses with exact three dimensional plate analyses through numerical examples with plates under wind loads in order to study the disadvantages of conventional simplified beam analyses of wind-loaded structures, Bending moments and principal stresses from beam analyses are good agreements with those from plate analyses but torsional moments are not. And it is possible to get result forces which are variant along width directions from plate analyses but not from beam analyses due to constant distributions of result forces along width directions. Therefore exact three dimensional plate analyses are required in the analyses of wind-loaded structures instead of conventional simplified beam analyses.

• 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.

• Smart Structures and Systems
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• 제13권4호
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• pp.637-657
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• 2014

This paper presents a dynamic analysis of three-dimensional beams. Structures made of functionally graded materials are considered. Several higher-order as well as classical theories are derived by means of a compact notation for the a-priori expansion order of the displacement field over the beam cross-section. The governing differential equations and boundary conditions are obtained in a condensed nuclear form that does not depend on the kinematic hypotheses. The problem is, then, exactly solved in space by means of a Navier-type solution, whereas time integration is performed by means of Newmark's solution scheme. Slender and short simply supported beams are investigated. Results are validated towards three-dimensional FEM results obtained via the commercial software ANSYS. Numerical investigations show that good accuracy can be obtained through the proposed formulation provided that the appropriate expansion order is considered.

• 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.

• 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.

• 동력기계공학회지
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• 제19권3호
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• pp.55-62
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• 2015

This paper discusses a new model for investigating the micro-mechanical behavior of beam-like structures composed of various elastic moduli and complex geometries varying through the cross-sectional directions and also periodically-repeated along the axial directions. The original three-dimensional problem is first formulated in an unified and compact intrinsic form using the concept of decomposition of the rotation tensor. Taking advantage of two smallness of the cross-sectional dimension-to-length parameter and the micro-to-macro heterogeneity and performing homogenization along dimensional reduction simultaneously, the variational asymptotic method is used to rigorously construct an effective zeroth-order beam model, which is similar a generalized Timoshenko one (the first-order shear deformation model) capable of capturing the transverse shear deformations, but still carries out the zeroth-order approximation which can maximize simplicity and promote efficiency. Two examples available in literature are used to demonstrate the consistence and efficiency of this new model, especially for the structures, in which the effects of transverse shear deformations are significant.

• 한국광학회지
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• 제12권1호
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• pp.17-24
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• 2001

엄밀한 결합파 해석(rigorous coupled-wave analysis)을 이용하여 2차원 및 3차원의 주기적인 구조 제작을 위한 2차원 이진위상 회절격자를 설계 및 분석하였다. 이 회절격자는 근접장 홀로그래피를 위한 위상 마스크로서 수직 입사하는 빛에 대하여 여거 개의 회절파들을 발생하고 이들은 공간상에 주기적인 간섭무늬를 형성한다. 입사파의 편광상태, 파장, 표면 양각형태, 요철 깊이와 duty cycle을 바꿈으로써 회절된 빛들을 조절할 수 있는데 2차원 구조의 경우 0차 회절효율이 최소가 되고 1차회절효율이 최대가 될 때 최적의 결과를 보인다. 한편 0차 회절효율이 상당한 크기를 가지거나 심지어 다른 차수의 회절효율보다 높을 때 마이크로 미터 이하의 미세구조를 갖는 tetragonal-body-centered 구조와 hexagonal 구조의 포토닉 결정을 제작 할 수 있는 다양한 형태의 3차원 공간 간섭무늬가 형성된다.

• 한국공작기계학회:학술대회논문집
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• 한국공작기계학회 2004년도 춘계학술대회 논문집
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• pp.490-493
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• 2004

There is great difficulty in machine below 10 micrometers by conventional machining methods, such as micro-EDM. However, ultra micro machining using focused ion beam(FIB) is able to machine to 50 nanometers. Bie ＆ moulds techniques are better than one-to-one machining techniques in regards to production costs in the mass production of ultra size structures. Also, it is advantageous to machine die ＆ moulds to the 10 micrometers level by FIB technique rather than other techniques. It is difficult to machine the three dimensional machining, such as micro lens, using FIB system because of their machining characteristics. In this paper, three dimensional machining techniques were properly introduced, and also experiments showed effectiveness of their techniques.

• Smart Structures and Systems
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• 제12권5호
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• pp.501-521
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• 2013

This paper is concerned with static and dynamic shape control of a laminated Bernoulli-Euler beam hosting a uniformly distributed array of resistively interconnected piezoelectric patches. We present an analytical one-dimensional model for a laminated piezoelectric beam with material discontinuities within the framework of Bernoulli-Euler and extent the model by a network of resistors which are connected to several piezoelectric patch actuators. The voltage of only one piezoelectric patch is prescribed: we answer the question how to design the interconnected resistive electric network in order to annihilate lateral vibrations of a cantilever. As a practical example, a cantilever with eight patch actuators under the influence of a tip-force is studied. It is found that the deflection at eight arbitrary points along the beam axis may be controlled independently, if the local action of the piezoelectric patches is equal in magnitude, but opposite in sign, to the external load. This is achieved by the proper design of the resistive network and a suitable choice of the input voltage signal. The validity of our method is exact in the static case for a Bernoulli-Euler beam, but it also gives satisfactory results at higher frequencies and for transient excitations. As long as a certain non-dimensional parameter, involving the number of the piezoelectric patches, the sum of the resistances in the electric network and the excitation frequency, is small, the proposed shape control method is approximately fulfilled for dynamic load excitations. We evaluate the feasibility of the proposed shape control method with a more refined model, by comparing the results of our one-dimensional calculations based on the extended Bernoulli-Euler equations to three-dimensional electromechanically coupled finite element results in ANSYS 12.0. The results with the simple Bernoulli-Euler model agree well with the three-dimensional finite element results.

• 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.