• 한국시뮬레이션학회논문지
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• 제12권2호
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• pp.75-89
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• 2003

This paper describe numerical experiments with solitary beams in a self focusing Kerr medium with fast response. Through formal analogies, it compare this results on the phase sensitivity of beam collision with known predictions about one dimensional soliton interaction. For incoherent oblique beam interaction, there occurs a non-periodic coupled-mode type transfer of energy, resulting in complete transmission each beam through the other one.

• 한국전기전자재료학회논문지
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• 제24권7호
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• pp.578-583
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• 2011

We report on the design of a holographic homogenizer composed of a periodic hologram and a condensing lens. If the hologram is periodic, the homogenizer is free from the alignment error of the incident laser beam. Holographic homogenizer also has an advantage of the flexibility in the size of the target beam. We calculated theoretically the Fraunhofer diffracted wave function when a rectangular laser beam is incident on a periodic hologram. The diffracted wave is the sum of sinc functions at regular distance. The width of each sinc function depends on the size of the incident laser beam and the distance between the sinc functions depends on the period of the hologram. We calculated numerically the diffracted light intensity for various ratios of the size of the incident laser beam to the period of the hologram. The results show that it is possible to make the diffracted beam uniform at a certain value of the ratio. The uniformity is high at the central part of the target area and low near the edge. The more sinc functions are included in the target area, the larger portion of the area becomes uniform and the higher is the uniformity at the central part. Therefore, we can make efficient homogenizer if we design a hologram so that the maximum number of the diffracted beams may be included in the target area.

• Steel and Composite Structures
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• 제52권3호
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• pp.343-356
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• 2024

This paper presents an analytical solution for correctly predicting the Lateral-Torsional Buckling critical moment of simply supported castellated beams, the solution covers uniformly distributed loads combined with compressive loads. For this purpose, the castellated beam section with hexagonal-type perforation is treated as an arrangement of double "T" sections, composed of an upper T section and a lower T section. The castellated beam with regular openings is considered as a periodic repeating structure of unit cells. According to the kinematic model, the energy principle is applied in the context of geometric nonlinearity and the linear elastic behavior of materials. The differential equilibrium equations are established using Galerkin's method and the tangential stiffness matrix is calculated to determine the critical lateral torsional buckling loads. A Finite Element simulation using ABAQUS software is performed to verify the accuracy of the suggested analytical solution, each castellated beam is modelled with appropriate sizes meshes by thin shell elements S8R, the chosen element has 8 nodes and six degrees of freedom per node, including five integration points through the thickness, the Lanczos eigen-solver of ABAQUS was used to conduct elastic buckling analysis. It has been demonstrated that the proposed analytical solution results are in good agreement with those of the finite element method. A parametric study involving geometric and mechanical parameters is carried out, the intensity of the compressive load is also included. In comparison with the linear solution, it has been found that the linear stability underestimates the lateral buckling resistance. It has been confirmed that when high axial loads are applied, an impressive reduction in critical loads has been observed. It can be concluded that the obtained analytical solution is efficient and simple, and offers a rapid and direct method for estimating the lateral torsional buckling critical moment of simply supported castellated beams.

• 한국전기전자재료학회논문지
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• 제20권8호
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• pp.726-730
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• 2007

Two dimensional photonic crystals (2D PCs) have been fabricated by a double exposure holographic method using a He-Cd laser with a wavelength of 442nm. The arrays of the 2D PCs exhibit variable lattice structures from square to triangle according to a change of rotating angle $({\gamma})$ for double exposure beams. In addition, the period and filling factor of PCs as well as the forms (dot or antidot) could be controlled by experimental conditions. $A l.18-{\mu}m-thick$ resist was spin-coated on Si substrate and the 1st holographic exposure was carried out at incident angle $({\theta})$ of $11^{\circ}$. Then the sample was rotated to ${\gamma}=45^{\circ}{\sim}90^{\circ}$ and the 2nd holographic process was performed at ${\theta}=11^{\circ}$. The variation of diffraction efficiency during the exposure process was observed using a He-Ne laser in real time. The images of 2D PCs prepared were analyzed by SEM and AFM. We believe that the double holographic method is a tool suitable to realize the 2D PCs with a periodic array of large area.

• 마이크로전자및패키징학회지
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• 제26권2호
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• pp.9-14
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• 2019

The newly discovered properties of periodic nanoscale patterns have increasingly sparked research interests in various fields. Along this direction, it is worth mentioning that there had been rare studies conducted on interference exposure, a method of creating periodic patterns. Additionally, these few studies seemed to validate the existence of only exact quadrangle shapes and dot patterns. This study asserted the formation of wavy patterns associated to using multiple exposures of the ratio of the first exposure intensity to the second exposure intensity. Such patterns were designed and constructed herein via overlapping of two Gaussian beams relative to certain rotation angles, and with a submicron structure fabricated based on a 360-nm continuous-wave laser. Results confirmed that the proposed double exposure laser interference lithography is able to create circular, elliptical and wavy patterns with no need for complex optical components.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2005년도 추계학술대회논문집
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• pp.690-695
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• 2005

Flexible circular cantilever beams when excited externally introduce a lot of dynamic characteristics. The non-linear elements that these flexible beams develop include non-linearity due to inertia terms, spring, and damping. They show different characteristics of motion from each other. In the modes of lower order, the non-linearity due to spring is prevalent, while the non-linearity due to inertia Is prevalent in the modes of higher order. To analyze these effects the non-linear phenomena are analyzed experimentally. When the response characteristics of non-linear vibration are analyzed using autospectrum, it is possible to analyze the subharmonic and superharmonic mot ion by comparison. The phase change is analyzed using the method of phase portrait and the non-linear characteristics of response characteristics that are developed in flexible structures can be predicted and applied to the stage of design.

• 한국전산구조공학회논문집
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• 제16권3호
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• pp.251-260
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• 2003

원형단면의 깊은 테이퍼봉과 보의 진동수와 모드형상을 결정하는 3차원 해석방법이 제시되었다. 수학적으로 1차원인 전통적인 봉과 보이론과는 달리, 본 연구에서는 3차원 동탄성방정식을 근간으로 하였다. 반경방향(r), 원주방향(θ), 축방향(z)으로의 변위성분인 u/sup r/, u/sub θ/, u/sub z/를 시간에 대해서는 정현적으로, θ에 대해서는 주기적으로, r과 z방향으로는 다수다항식의 형태로 표현하였다. 봉과 보의 위치(변형률)에너지와 운동에너지를 정식화하고, 고유치문제를 해결하기 위해 Ritz법을 사용하였으며, 진동수의 최소화과정을 통해 엄밀해의 상위경계치의 진동수를 구하였다. 이때 다항식의 차수를 증가시키면 진동수는 엄밀해에 수렴하게 된다. 봉과 보의 하위 5개의 진동수에 대해서 유효숫자 4자리까지의 수렴성 연구가 이루어졌다. 축방향으로 1차 직선적, 2차 및 3차 곡선으로 테이퍼된 9가지 형상의 봉과 보의 수치결과를 3차원 이론을 이용하여 최초로 계산하였다. 또한 선형 테이퍼 보의 예를 통해 3차원 Ritz법과 고전적인 1차원 Euler-Bernoulli 보이론과의 비교가 이루어졌다.

• 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.

• 대한기계학회논문집A
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• 제24권1호
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• pp.232-239
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• 2000

The paper describes the parametric instability of free-free beams subjected to a controlled pulsating follower force. The beam has a tip rigid body not a mass point, and the direction of pulsating follower force is controlled by the direction control sensor. Equations of motion are derived by Hamilton's principle and the instability regions are obtained by finite element formulation. The effects of magnitude, rotary inertia, the distance between free end of the beam and the center of gravity of the rigid body on the instability types and regions are investigated by the change of the constant and periodic part of the follower force.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2007년도 추계학술대회논문집
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• pp.57-62
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• 2007

A modeling method for the modal and the transient vibration analysis of a multi-packet blade system excited by nozzle jet forces is presented in this paper. Blades are idealized as cantilever beams and the elastic structures like disc and shroud connecting blades are modeled as coupling stiffnesses. A modified Campbell diagram is proposed to identify true resonance frequencies of the multi-packet blade system. Different from the SAFE diagram that employs three dimensional space, the modified Campbell diagram proposed in this study employs a plane to find the true resonance frequencies. To verify the existence of true resonance frequencies, nozzle jet forces are modeled as periodic forces and transient vibration analysis were performed with the modeling method.