• 제목/요약/키워드: two-dimensional beam

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6절점 2차원 및 16절점 3차원 등매개변수 요소의 가우스 적분점 수정을 이용한 강제진동 해석 (The Forced Motion Analyses by Using Two Dimensional 6-Node and Three Dimensional 16-Node Isoparametric Elements with Modification of Gauss Sampling Point)

  • 김정운;권영두
    • 전산구조공학
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    • 제8권4호
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    • pp.87-97
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    • 1995
  • 2차원 유한요소 모델의 동일한 형상과 하중 조건에 있어서 6절점 요소의 굽힘 강성은 8절점 요소의 굽힘 강성보다 더 크게 나타난다. 이와 같은 현상은 3차원 16절점 요소와 20절점 요소에서도 나타나며, 완전 요소의 중간 절점들을 제거하므로 인하여 나타난다. 따라서 이 현상을 상대적 강성강화 현상이라 할 수 있다. 강성강화 현상을 보정하기 위한 매우 효과적인 방법으로 가우스 적분점 수정법을 도출하였으며, 이 방법은 확장적인 강성과 같이 다른 종류의 강성을 변화시키지 않으며, 또한 패취시험을 통과하였다. 적분점 수정량은 재료의 포아송비의 함수로 나타나며, 2차원 평면응력 상태와 평면변형율 상태에 대한 두개의 수정식을 구하였고, 또한 3차원 고체요소에 대하여 확장하였다. 가우스 적분점 수정법의 효과를 검증하기 위하여 보와 판의 자유 및 강제운동 문제를 해석하였으며, 등방성 적층 보와 판에 대해서도 단층보와 단층판과 같은 방법으로 적용하여 그 효율성을 입증하였다.

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시공 분할방식을 이용한 다시점 삼차원 디스플레이 시스템의 설계 (Designing a kmultiview 3D display system based on a spatiotemporal multiplexing)

  • 손정영;김재순;전호인
    • 한국광학회지
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    • 제9권6호
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    • pp.368-372
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    • 1998
  • 2개의 시분할 8시점 영상 채널을 공간적으로 시역을 결합시킴에 의해 16시점 3차원 영상 시스템을 설계했다. 각각의 8시점 채널을 빛의 3원색(빨강, 초록 그리고 파랑)에 대응하는 빛을 발산하는 3개의 CRT들을 한 개의 채널로 결합해주는 이색 빔 분할기(dichroic beam splitter)로 이루어져 있고 각각의 CRT는 8시점의 영상을 시간분할 방식에 의해 표시하며, 각 채널별 영상은 투사광학계를 통과하여 1$\times$0.8$m^2$ 크기의 홀로그래픽 스크린에 투영된다. 이 시스템을 위한 최적 투사광학계를 설계하기 위해 시스템에 적용 가능한 3개의 서로 다른 투사광학계에 대해 그 특성을 광학 설계 프로그램인“ DEMOS ”를 사용하여 시험했다. 설계 시스템의 최적 투사광학계는 각 채널별 영상을 양면 반사경(two-folded mirror)에 의해 결합하여 16개의 띠형 액정 셔터로 구성된 한 개의 LCD 셔터를 통해 투사용 대물렌즈로 입사시키는 구조를 가지는 것이 최적임을 보였다. 단 이 구조에서 셔터는 투사용 대물렌즈의 입력개구(entrance pupil)에 위치해야하며, 양면 반사경의 접혀진 선은 이 셔터의 중심과 맞닿아 대칭이 되도록 위치해야 한다.

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광섬유 브래그 격자 센서를 이용한 복합재 외팔보의 형상 모니터링 (Shape Monitoring of Composite Cantilever Beam by Using Fiber Bragg Grating Sensors)

  • 이건호;김대현
    • 대한기계학회논문집A
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    • 제37권7호
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    • pp.833-839
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    • 2013
  • 본 논문에서는 광섬유 브래그 격자 센서를 이용한 외팔보 형태의 복합재 구조물 2차원 형상 모니터링 연구를 수행하였다. 복합재 구조물의 형상을 모니터링하기 위해 NASA에서 개발한 처짐 방정식과 FBG 센서가 부착된 복합재 보를 이용하였으며, 처짐에 따른 복합재 보의 형상을 추정하고 동시에 실제 처짐과 측정된 처짐 크기를 비교하였다. 실험 결과 보의 형상을 성공적으로 추정할 수 있었으나 실제 처짐과 측정된 처짐이 오차가 발생하였다. 하지만 이러한 오차가 선형 관계를 갖고 있어 이를 정량화하여 보정한 후 재 실험한 결과 실제 처짐과 동일한 처짐 크기를 구할 수 있었다. 결과적으로 오차 보상을 잘 활용한다면 외팔보 구조물의 형상 모니터링을 위해 FBG 센서와 처침 방정식이 매우 유용하다는 점을 확인할 수 있었다.

지보재 파괴를 고려한 터널 안전율의 수치해석적 산정 연구 (Numerical estimation for safety factors of tunnels considering the failure of supports)

  • 유광호;박연준;홍근영;이현구;김재권
    • 한국터널지하공간학회 논문집
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    • 제7권1호
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    • pp.37-49
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    • 2005
  • 터널의 경우 지보재의 파괴가 터널의 파괴를 유발할 수 있으므로 지보재의 파괴가 고려된 안전율을 산정하는 것이 중요하다. 기존의 연구에서는 지보재의 파괴를 고려한 터널의 안전율 산정에 있어서 보 (beam)요소로 모델링하여 지보재의 파괴를 지보재에 발생하는 휨 응력과 허용응력을 비교하여 파괴를 고려하였다. 본 연구에서는 2차원 해석이 수행되었으며, 지보재를 보 (탄성)요소와 연속체 (탄소성)요소로 나누어 모델링하였고, 암반등급, 측압계수, 숏크리트 두께, 록볼트의 영향, 굴착방법이 터널의 안전율에 미치는 영향을 분석하여 적정 지보재의 모델링 방법을 제시하였다.

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Cyclic behaviour of infilled steel frames with different beam-to-column connection types

  • Sakr, Mohammed A.;Eladly, Mohammed M.;Khalifa, Tarek;El-Khoriby, Saher
    • Steel and Composite Structures
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    • 제30권5호
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    • pp.443-456
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    • 2019
  • Although numerous researchers demonstrated the significant difference in performance between the various beam-to-column connection types, most of the previous studies in the area of infilled steel frames focused on the behaviour of frames with welded connections. Therefore, there is a need for conducting studies on infilled steel frames with other common connection types (extended endplate with and without rib stiffeners, flush endplate and shear connections). In this paper, firstly, a two-dimensional finite-element model simulating the cyclic response of infilled steel frames was presented. The infill-frame interaction, as well as the interactions between connections' components, were properly modelled. Using the previously-validated model, a parametric study on infilled steel frames with five different beam-to-column connection types, under cyclic loading, was carried out. Several parameters, including infill material, fracture energy of masonry and infill thickness, were investigated. The results showed that the infilled frames with welded connections had the highest initial stiffness and load-carrying capacity. However, the infilled frames with extended endplate connections (without rib stiffeners) showed the greatest energy dissipation capacity and about 96% of the load-carrying capacity of frames with welded connections which indicates that this type of connection could have the best performance among the studied connection types. Finally, a simplified analytical model for estimating the stiffness and strength of infilled steel frames (with different beam-to-column connection types) subjected to lateral cyclic loading, was suggested.

평면도파로형 $2\times32$ 광커플러의 설계와 제작에 관한 연구 (A Study on the Design and Fabrication of the Planar Light Waveguide type $2\times32$ Optical Coupler)

  • 신기수;최영복;류근호;문동찬
    • 한국통신학회논문지
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    • 제24권12B호
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    • pp.2335-2341
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    • 1999
  • $2\times32$ 커플러는 마하젠더 간섭기와 Y분기 커플러로 구성하여 제작하였다. 커플러의 설계를 위해 유효굴절율법을 이용하여 3차원의 도파로 구조를 2차원 구조로 대체하였고 2차원 유한차분 빔전파법을 이용하여 도파로 구조에 대한 최적의 설계요소를 찾아내었다. 전산모사에 의하여 두 도파로 간의 높이가 $43.6\mu\textrm{m}$(경로차 $0.668\mu\textrm{m}$)로 제작한 $2\times32$ 커플러가 가장 우수한 특성을 나타냈다. 코아층의 식각 특성에 있어서 산화실리콘과 마스크인 알루미늄의 식각비는 30:1이었고 코아의 식각률은 2600${\AA}$/min이었다. 식각 균일도는 $\pm$5% 내외로 균일하였다. $2\times32$ 커프럴의 삽입 손실은 최대 손실이 19.2dB 이하였고 균일성은 2dB이였다.

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상하동요하는 2차원 주상체의 고유진동수; 주파수 영역 해석 (Natural Frequency of 2-Dimensional Cylinders in Heaving; Frequency-Domain Analysis)

  • 송제하;이승준
    • 대한조선학회논문집
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    • 제52권1호
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    • pp.25-33
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    • 2015
  • Following the previous works on the natural frequency of heaving circular cylinder, i.e. Lee and Lee (2013) and Kim and Lee (2013), an investigation of the same spirit on the 2-dimensional cylinder of Lewis form has been conducted. As before, the natural frequency is defined as that corresponding to the local maximum of the MCFR (Modulus of Complex Frequency Response), which is given by the equation of motion in the frequency domain analysis. Hydrodynamic coefficients were found by using the Ursell-Tasai method, and numerical results for them were obtained up to much higher frequencies than before, for which the method was known as numerically unstable in the past. For a wide range of H, the beam-draft ratio, and ${\sigma}$, the sectional area coefficient, including their practical ranges for a ship, results for the natural frequency were computed and presented in this work. Two approximate values for the natural frequency, one proposed by Lee (2008) and another one by the damped harmonic oscillator, were also compared with the current results, and for most cases it was observed that the current result is between the two values. Our numerical results showed that the values of the local maximum of MCFR as well as the natural frequencye increase as ${\sigma}$ increases while H decreases. At present, extension of the present finding to the 3-dimensional ship via the approximate theory like the strip method looks promising.

HYDROELASTIC VIBRATION ANALYSIS OF TWO FLEXIBLE RECTANGULAR PLATES PARTIALLY COUPLED WITH A LIQUID

  • Jeong, Kyeong-Hoon;Kim, Jong-Wook
    • Nuclear Engineering and Technology
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    • 제41권3호
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    • pp.335-346
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    • 2009
  • This paper deals with a hydroelastic vibration analysis of two rectangular plates partially coupled with a liquid, which is bounded by two plates and two rigid side walls. The wet displacement of each plate is assumed to be a combination of the modal functions of a dry uniform beam with a clamped boundary condition. As the liquid is assumed to be an ideal liquid, the displacement potential satisfying the Laplace equation is determined so that the liquid boundary conditions can meet the requirements at the rigid surfaces and the free liquid surface. The wet dynamic modal functions of each plate are expanded by using the finite Fourier transform to obtain an appropriate form of the compatibility requirement along the contacting surfaces between the plates and the liquid. The liquid-coupled natural frequencies of the plates are derived by using the Rayleigh-Ritz method. Finite element analyses using commercial software are carried out to verify the proposed theory. It is observed that the theoretical method agrees excellently with the three-dimensional finite element analyses results. The effects of the liquid depth and the liquid thickness on the normalized natural frequencies are investigated to identify the dynamic characteristics of the liquid coupled system.

버블패킹방법을 이용한 2차원 자동격자 생성 및 재구성 알고리듬 개발(I) -선형 해석- (Development of Algorithm for 2-D Automatic Mesh Generation and Remeshing Technique Using Bubble Packing Method (I) -Linear Analysis-)

  • 정순완;김승조
    • 대한기계학회논문집A
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    • 제25권6호
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    • pp.1004-1014
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    • 2001
  • The fully automatic algorithm from initial finite element mesh generation to remeshing in two dimensional geometry is introduced using bubble packing method (BPM) for finite element analysis. BPM determines the node placement by force-balancing configuration of bubbles and the triangular meshes are made by Delaunay triangulation with advancing front concept. In BPM, we suggest two node-search algorithms and the adaptive/recursive bubble controls to search the optimal nodal position. To use the automatically generated mesh information in FEA, the new enhanced bandwidth minimization scheme with high efficiency in CPU time is developed. In the remeshing stage, the mesh refinement is incorporated by the control of bubble size using two parameters. And Superconvergent Patch Recovery (SPR) technique is used for error estimation. To verify the capability of this algorithm, we consider two elasticity problems, one is the bending problem of short cantilever beam and the tension problem of infinite plate with hole. The numerical results indicate that the algorithm by BPM is able to refine the mesh based on a posteriori error and control the mesh size easily by two parameters.

Along and across-wind vibration control of shear wall-frame buildings with flexible base by using passive dynamic absorbers

  • Ivan F. Huergo;Hugo Hernandez-Barrios;Roberto Gomez-Martinez
    • Wind and Structures
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    • 제38권1호
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    • pp.15-42
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    • 2024
  • A flexible-base coupled-two-beam (CTB) discrete model with equivalent tuned mass dampers is used to assess the effect of soil-structure interaction (SSI) and different types of lateral resisting systems on the design of passive dynamic absorbers (PDAs) under the action of along-wind and across-wind loads due to vortex shedding. A total of five different PDAs are considered in this study: (1) tuned mass damper (TMD), (2) circular tuned sloshing damper (C-TSD), (3) rectangular tuned sloshing damper (R-TSD), (4) two-way liquid damper (TWLD) and (5) pendulum tuned mass damper (PTMD). By modifying the non-dimensional lateral stiffness ratio, the CTB model can consider lateral deformations varying from those of a flexural cantilever beam to those of a shear cantilever beam. The Monte Carlo simulation method was used to generate along-wind and across-wind loads correlated along the height of a real shear wall-frame building, which has similar fundamental periods of vibration and different modes of lateral deformation in the xz and yz planes, respectively. Ambient vibration tests were conducted on the building to identify its real lateral behavior and thus choose the most suitable parameters for the CTB model. Both alongwind and across-wind responses of the 144-meter-tall building were computed considering four soil types (hard rock, dense soil, stiff soil and soft soil) and a single PDA on its top, that is, 96 time-history analyses were carried out to assess the effect of SSI and lateral resisting system on the PDAs design. Based on the parametric analyses, the response significantly increases as the soil flexibility increases for both type of lateral wind loads, particularly for flexural-type deformations. The results show a great effectiveness of PDAs in controlling across-wind peak displacements and both along-wind and across-wind RMS accelerations, on the contrary, PDAs were ineffective in controlling along-wind peak displacements on all soil types and different kind of lateral deformation. Generally speaking, the maximum possible value of the PDA mass efficiency index increases as the soil flexibility increases, on the contrary, it decreases as the non-dimensional lateral stiffness ratio of the building increases; therefore, there is a significant increase of the vibration control effectiveness of PDAs for lateral flexural-type deformations on soft soils.