• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2006년도 정기 학술대회 논문집
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• pp.841-846
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• 2006

This paper addresses the method for the shape design sensitivity analysis of the buckling load in the continuous elastic body. The sensitivity formula for critical load is analytically derived and expressed in terms of shape variation, based on the continuum formulation of the stability problem. Though the buckling problem is more efficiently solved by the structural elements such as beam and shell, the elastic solids are considered in this paper because the solid elements can be used in general for any kind of structures whether they are thick or thin. The initial stress and buckling analysis is carried out by the commercial analysis code ANSYS. The sensitivity is computed by using the mathematical package MATLAB using the results of ANSYS. Several problems including straight and curved beams under compressive load, ring under pressure load, thin-walled section are chosen to illustrate the efficiency of the presented method.

• Structural Engineering and Mechanics
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• 제60권1호
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• pp.111-130
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• 2016

Two new elements with six degrees of freedom are proposed by applying the equilibrium conditions and strain-displacement equations. The first element is formulated for the infinite ratio of beam radius to thickness. In the second one, theory of the thick beam is used. Advantage of these elements is that by utilizing only one element, the exact solution will be obtained. Due to incorporating equilibrium conditions in the presented formulations, both proposed elements gave the precise internal forces. By solving some numerical tests, the high performance of the recommended formulations and also, interaction effects of the bending and axial forces will be demonstrated. While the second element has less error than the first one in thick regimes, the first element can be used for all regimes due to simplicity and good convergence. Based on static responses, it can be deduced that the first element is efficient for all the range of structural characteristics. The free vibration analysis will be performed using the first element. The results of static and dynamic tests show no deficiency, such as, shear and membrane locking and excessive stiff structural behavior.

• 한국전산구조공학회논문집
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• 제30권2호
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• pp.111-117
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• 2017

본 논문에서는 유한요소 자유진동해석을 수행하여 박판 보에서의 국소변형효과를 조사하였다. 자유진동해석은 단일셀 및 다중셀 박스보에 대해 수행하였으며, 풍력발전 블레이드를 가장 단순하게 모사할 수 있는 단일셀 박스보를 먼저 해석하였다. 쉘요소 해석결과를 보요소 해석결과와 비교하여 보았을 때 박스 보의 박판 두께가 정확도에 매우 중요한 역할을 함을 확인하였다. 두께가 얇은 경우에는 쉘의 국소변형(또는 쉘 모드)가 주요하게 나타난 반면에 두꺼울 경우에는 전단변형의 효과가 크게 나타남을 알 수 있었다. 목이 있는 단일셀 박스보에서의 국소변형은 목 주위에 집중되어 나타남을 확인하였다. 마지막으로 실제 블레이드와 유사한 다중셀 테이퍼 보의 주파수 및 모드형상을 분석하였다. 보 요소 해석결과는 쉘 요소 결과와 비교하여 약 5~7% 주파수 차이를 보였으며, 이는 보요소가 국소변형을 제대로 모사하지 못하기 때문이다. 특히 래그모드(lagwise mode)의 경우에는 단면의 분할 정도의 영향보다 국소변형의 효과가 매우 크다는 것을 알 수 있었다.

• Smart Structures and Systems
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• 제21권1호
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• pp.65-74
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• 2018

In this article, an analytic non-classical model for the free vibrations of nanobeams accounting for surface stress effects is developed. The classical continuum mechanics fails to capture the surface energy effects and hence is not directly applicable at nanoscale. A general beam model based on Gurtin-Murdoch continuum surface elasticity theory is developed for the analysis of thin and thick beams. Thus, surface energy has a significant effect on the response of nanoscale structures, and is associated with their size-dependent behavior. To check the validity of the present analytic solution, the numerical results are compared with those obtained in the scientific literature. The influences of beam thickness, surface density, surface residual stress and surface elastic constants on the natural frequencies of nanobeams are also investigated. It is indicated that the effect of surface stress on the vibrational response of a nanobeam is dependent on its aspect ratio and thickness.

• 한국진공학회지
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• 제10권4호
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• pp.396-402
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• 2001

전자빔 증착기를 이용하여 1000 $\AA$의 두께를 가진 MgO박막을 구리 기판위에 상온에서 증착하였다. 스퍼터링수율 측정시 MgO 층에 충전현상을 없애주기 위해서 1000 $\AA$ 두께의 Al을 증착하였다. 갈륨 액체금속을 집속이온빔 이온원으로 사용하였다. 두 개의 정전렌즈를 사용하여 이온빔을 집속하였고, MgO에 이온빔을 주사하기 위해 편향기를 사용하였다. 가속전압의 변화에 따라 시료대 전류와 이차입자 전류를 측정하였고, 이 전류값은 소스에 인가하는 가속전압에 따라 변화되었다 MgO 박막의 스퍼터링 수율은 분석된 시료대 전류, 이차입자 전류 및 순수빔 전류의 값을 사용하여 결정하였다. 집속이온빔 장치의 가속전압이 15 kV일 때 MgO 박막의 스퍼터링 수율은 0.30으로 나왔고 가속전압의 값이 증가할 때 스퍼터링 수율이 선형적으로 증가하였다. 이러한 결과를 볼 때 집속이온빔 장치를 이용하면 MgO 박막의 스퍼터링 수율을 측정할 패 매우 효과적임을 알 수 있다.

• Smart Structures and Systems
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• 제25권4호
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• pp.501-514
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• 2020

This article presents a comprehensive model to investigate a free vibration and resonance frequencies of nanostructure perforated beam element as nano-resonator. Nano-scale size dependency of regular square perforated beam is considered by using nonlocal differential form of Eringen constitutive equation. Equivalent mass, inertia, bending and shear rigidities of perforated beam structure are developed. Kinematic displacement assumptions of both Timoshenko and Euler-Bernoulli are assumed to consider thick and thin beams, respectively. So, this model considers the effect of shear on natural frequencies of perforated nanobeams. Equations of motion for local and nonlocal elastic beam are derived. After that, analytical solutions of frequency equations are deduced as function of nonlocal and perforation parameters. The proposed model is validated and verified with previous works. Parametric studies are performed to illustrate the influence of a long-range atomic interaction, hole perforation size, number of rows of holes and boundary conditions on fundamental frequencies of perforated nanobeams. The proposed model is supportive in designing and production of nanobeam resonator used in nanoelectromechanical systems NEMS.

• 대한기계학회논문집
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• 제17권12호
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• pp.3020-3027
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• 1993

Curved beam element has received attention because of its own usefulness and its bearing on general curved elements like shells. In conventional curved beam elements stiffness matrix is overestimated and eigensolutions are poor. To avoid this phenomenon it is necessary to use a large number of elements and, as a result, the total number of degrees of freedom is increased. In this paper the two-noded, with three degrees of freedom at each node, in-plane curvature-based curbed beam element is employed in eigen-analysis of curved beam. It is shown that the curvature-based beam element is very efficient in vibration analysis and also that it is applicable to both thin and thick curved beams.

• 한국재료학회지
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• 제8권9호
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• pp.843-848
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• 1998

결량화 되고 고강도의재료를 요하는 자동차, 항공기, 선박, 각종 구조물 등 여러 분야에서 복합재료의 사용은 증가되어 왔고, 그에 따라 연구가 활발히 진행되고 있다. 본 연구에서는 Impulse Excitation Method을 통해 Transversely Isotropic한 재료의 공진 주파수를 측정함으로써 복합재료의 탄성계수를 구하였다. Timoshenko Beam Equation식에 나타나는 회전관성효과와 전단변형을 고려하였을 때와 고려하지 않았을 때 재료의 탄성계수에 변화가 어떻게 나타나는 가를 관찰하였다.

• Nuclear Engineering and Technology
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• 제49권7호
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• pp.1495-1504
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• 2017

In a previous study, a set of polygon-mesh (PM)-based skin models including a $50-{\mu}m-thick$ radiosensitive target layer were constructed and used to calculate skin dose coefficients (DCs) for idealized external beams of electrons. The results showed that the calculated skin DCs were significantly different from the International Commission on Radiological Protection (ICRP) Publication 116 skin DCs calculated using voxel-type ICRP reference phantoms that do not include the thin target layer. The difference was as large as 7,700 times for electron energies less than 1 MeV, which raises a significant issue that should be addressed subsequently. In the present study, therefore, as an extension of the initial, previous study, skin DCs for three other particles (photons, protons, and helium ions) were calculated by using the PM-based skin models and the calculated values were compared with the ICRP-116 skin DCs. The analysis of our results showed that for the photon exposures, the calculated values were generally in good agreement with the ICRP-116 values. For the charged particles, by contrast, there was a significant difference between the PM-model-calculated skin DCs and the ICRP-116 values. Specifically, the ICRP-116 skin DCs were smaller than those calculated by the PM models-which is to say that they were under-estimated-by up to ~16 times for both protons and helium ions. These differences in skin dose also significantly affected the calculation of the effective dose (E) values, which is reasonable, considering that the skin dose is the major factor determining effective dose calculation for charged particles. The results of the current study generally show that the ICRP-116 DCs for skin dose and effective dose are not reliable for charged particles.

• Structural Engineering and Mechanics
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• 제43권4호
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• pp.411-437
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• 2012

In this paper, we propose a continuum mechanics based 3-D beam finite element with cross-sectional discretization allowing for warping displacements. The beam element is directly derived from the assemblage of 3-D solid elements, and this approach results in inherently advanced modeling capabilities of the beam element. In the beam formulation, warping is fully coupled with bending, shearing, and stretching. Consequently, the proposed beam elements can consider free and constrained warping conditions, eccentricities, curved geometries, varying sections, as well as arbitrary cross-sections (including thin/thick-walled, open/closed, and single/multi-cell cross-sections). We then study the modeling and predictive capabilities of the beam elements in twisting beam problems according to geometries, boundary conditions, and cross-sectional meshes. The results are compared with reference solutions obtained by analytical methods and solid and shell finite element models. Excellent modeling capabilities and solution accuracy of the proposed beam element are observed.