• 제목/요약/키워드: 3-D finite difference method

검색결과 265건 처리시간 0.026초

척추 수술시 요추의 유한요소해석 (Finite Element Analysis of Lumbar Spine under Surgical Condition)

  • 김동현;조상현;장동표;황운봉;정완균;오성훈;김영수
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2004년도 춘계학술발표대회 논문집
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    • pp.210-213
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    • 2004
  • We study the fracture behavior of the lumbar No.4 and No.5 vertebra subjected to posteroanterior (PA) forces, a three dimensional finite element method (FEM). The lumbar spine was modeled 3-dimensionally using commercial software based on the principle of convert stacked two dimensional CT scan images into three dimensional shapes. Determination of the boundary conditions corresponding to actual surgical conditions was not easy, so that the simplified spine beam analyses were performed. The results were used in three dimensional finite element (FE) analysis. This FE analysis, indicates that the fracture loads of the lumbar No.4 and No.5 vertebra are respectively 1550 N and 1500 N. These fracture loads are for static loading, but in actual conditions the load on the lumbar spine varies dynamically. We found that the fracture load of lumbar No.4 vertebra is larger than that of lumbar No.5 vertebra, as a result of the total stress difference by the moment.

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A Ridge-type Silicon Waveguide Optical Modulator Based on Graphene and Black Phosphorus Heterojunction

  • Zhenglei Zhou;Jianhua Li;Desheng Yin;Xing Chen
    • Current Optics and Photonics
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    • 제8권4호
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    • pp.399-405
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    • 2024
  • In this paper, an optical modulator based on monolayer graphene and triple-layer black phosphorus (BP) heterojunction in the optical communication band range is designed. The influences of geometric parameters, chemical potential, BP orientation and dispersion on the fundamental mode of this modulator were determined in detail by the finite-difference time-domain (FDTD) method. Using appropriate geometric parameter settings, the extinction ratio of this proposed modulator is 0.166 dB, while the modulator with a working length of 3 ㎛ can realize a 0.498 dB modulation depth. The 3-dB bandwidth of this modulator could achieve up to 2.65 GHz with 27.23 fJ/bit energy consumption. The extinction ratio and bandwidth of the proposed modulator increased by 66% and 120.83%, respectively, compared to the monolayer graphene-based ridge-type waveguide modulator. Energy consumption was reduced by 97.28%, compared to a double-layer graphene-based modulator.

IT 기반의 터널 최적 설계를 위한 시스템 개발 (Development of IT-based tunnel design system)

  • 유충식;김선빈;유광호
    • 한국터널지하공간학회 논문집
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    • 제10권2호
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    • pp.153-166
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    • 2008
  • 본 논문에서는 IT 기술을 이용한 터널 자동화 설계 시스템 개발에 관한 내용을 다루었다. 먼저 개발 시스템에 대한 개념 및 개발 과정과 시스템을 구성하는 각 요소기술 및 개별 모듈 개발에 관한 내용을 기술하였다. 본 시스템의 요소기술인 ANN-기반의 터널 저동 예측 기술에 대해 그 개념과 ANN 학습과정 및 검증과정을 기술하였다 ANN-기반의 터널거동 예측은 FEM 및 FDM 등 연속체 기반의 해석을 토대로 구축한 DB를 ANN을 통해 일반화 한 후 개발된 엔진을 세부모듈에 접목시켜 별도의 해석 없이 유사 단면 혹은 현장에 적용이 가능하도록 하였다. 본 논문에서는 구체적인 개발과정과 향후 적용방향에 대해 구체적인 내용을 기술하였다.

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A Numerical and Experimental Study on Dynamics of A Towed Low-Tension Cable

  • 정동호;박한일
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 추계학술대회 논문집
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    • pp.191-196
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    • 2002
  • The paper presents a numerical and experimental investigation on dynamic behaviors of a towed low tension cable. In the numerical study, an implicit finite difference algorithm is employed for three-dimensional cable equations. Fluid and geometric non-linearity and bending stiffness are considered and solved by Newton-Raphson iteration. Block tri-diagonal matrix method is applied for the fast calculation of the huge size of matrices. In order to verify the numerical results and to see real physical phenomena, an experiment is carried out for a 6m cable in a deep and long towing tank. The cable is towed in two different ways; one is towed at a constant speed and the other is towed at a constant speed with top end horizontal oscillations. Cable tension and shear forces are measured at the top end. Numerical and experimental results are compared with good agreements in most cases but with some differences in a few cases. The differences are due to drag coefficients caused by vortex shedding. In the numerical modeling, non-uniform element length needs to be employed to cope with the sharp variation of tension and shear forces at near top end.

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Low-loss Electrically Controllable Vertical Directional Couplers

  • Tran, Thang Q.;Kim, Sangin
    • Current Optics and Photonics
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    • 제1권1호
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    • pp.65-72
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    • 2017
  • We propose a nearly lossless, compact, electrically modulated vertical directional coupler, which is based on the controllable evanescent coupling in a previously proposed graphene-assisted total internal reflection (GA-FTIR) scheme. In the proposed device, two single-mode waveguides are separate by graphene-$SiO_2$-graphene layers. By changing the chemical potential of the graphene layers with a gate voltage, the coupling strength between the waveguides, and hence the coupling length of the directional coupler, is controlled. Therefore, for a properly chosen, fixed device length, when an input wave is launched into one of the waveguides, the ratio of their output powers can be controlled electrically. The operation of the proposed device is analyzed, with the dispersion relations calculated using a model of a one-dimensional slab waveguide. The supermodes in the coupled waveguide are calculated using the finite-element method to estimate the coupling length, realistic devices are designed, and their performance was confirmed using the finite-difference time-domain method. The designed $3{\mu}m$ by $1{\mu}m$ device achieves an insertion loss of less than 0.11 dB, and a 24-dB extinction ratio between bar and cross states. The proposed low-loss device could enable integrated modulation of a strong optical signal, without thermal buildup.

Numerical modelling of stress and deflection behaviour for welded steel beam-column

  • Soy, Ugur
    • Steel and Composite Structures
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    • 제12권3호
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    • pp.249-260
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    • 2012
  • In this study, stress and deflection behaviours of T-type welding joint applied to HE200M steel beam and column were investigated in finite element method (FEM) under different distributed loads. In the 3D-FEM modelling, glue option was used to contact between steel materials and weld nuggets. Geometrical model was designed as 3-dimensional solid in ANSYS software program. After that, homogeneous, linear and isotropic properties were used to design to materials of model. Solid-92 having 3-dimensional, 4 faced and 10-noded was selected as element type. In consequence of mesh operation, elements of 13285 and nodes of 28086 were occurred. Load distribution was applied to top surface of steel beam to determine behaviours of stress and deflection. As a result of FEM analysis applied with the loads of 55,000 N, 110,000 N and 220,000 N, maximum values were obtained as 116 N/$mm^2$, 232 N/$mm^2$ and 465 N/$mm^2$ for stress and obtainedas 1,083 mm, 2,166 mm and 4.332 mm for deflection, respectively. When modelling results and classical calculation values were compared, it was obtained difference of 10 % for stress values and 2.5% for deflection values.

초고속 관통의 강도 무관성에 관한 연구 (A Study on the Strength Irrelevance of Hypervelocity Penetration)

  • 강영구
    • 한국전산구조공학회논문집
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    • 제32권3호
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    • pp.199-203
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    • 2019
  • 속도 4km/s 이상인 초고속 제트의 관통 깊이는 제트와 표적의 밀도 비를 통해 기술된다. 반면에 동일한 밀도인 경우 표적들 사이의 강도 차이는 관통 깊이 차이에 영향을 주지 않는다. 본 연구는 초고속 제트의 "강도 무관성"에 관한 연구를 다룬다. 이를 위해 초고속 성형작약탄두 제트(SCJ)에 의해 발생된 크레이터 압력의 변화를 유한요소해석을 통해 계산하고, 철강소재의 polymorphic 상변이 발현 가능성을 조사하였다. 결과적으로 초고속 제트는 표적 크레이터에 polymorphic 상변이를 일으킬 수 있고, 이로 인한 표적의 파괴 인성 저하가 강도 무관성의 원인으로 예측된다.

PBG 구조 성능 해석을 위한 주기경계조건의 FDTD 적용연구 (A Study on the FDTD method using Periodic Boundary Condition for PBG Performance Analysis)

  • 임계재
    • 한국정보전자통신기술학회논문지
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    • 제3권2호
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    • pp.31-38
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    • 2010
  • PBG 구조의 메타물질 설계시 패턴 형태와 배열 구조에 따른 금지대역(bandgap)을 정확하게 설계하기 어려운 문제가 있다. 본 논문에서는 2차원 배열구조로 어떤 모양의 패턴에 대해서도 빠르고 정확하게 원하는 금지대역을 설계할 수 있는 방법을 제안한다. 2차원 평면상의 메타물질 구조는 주기배열로 이루어져 있기 때문에 FDTD 수치해석 방법에 주기경계조건을 부여함으로서 계산영역을 줄였다. 또한 각 패턴이 갖는 L, C 값을 2차원적으로 고려하여 계산하였기 때문에 보다 정확한 설계가 가능하였다. 5GHz 대역에서 정사각형 패턴을 갖는 메타물질을 설계하여 기존의 마이크로스트립 선로를 이용한 1차원 메타물질 해석 값과 비교하였을 때 정확도가 평균적으로 14.7% 향상됨을 확인할 수 있었다.

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자유수면 보정기법을 이용한 3차원 천수유동 수치모형 (A three-dimensional numerical model for shallow water flows using a free surface correction method)

  • 장원재;이승오;조용식
    • 한국방재학회:학술대회논문집
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    • 한국방재학회 2007년도 정기총회 및 학술발표대회
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    • pp.181-185
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    • 2007
  • A free-surface correction(FSC) method is presented to solve the 3-D shallow water equations. Using the mode splitting process, FSC method can simulate shallow water flows under the hydrostatic assumption. For the hydrostatic pressure calculation, the momentum equations are firstly discretized using a semi-implicit scheme over the vertical direction leading to the tri-diagonal matrix systems. A semi-implicit scheme has been adopted to reduce the numerical instability caused by relatively small vertical length scale compare to horizontal one. and, as the free surface correction step the final horizontal velocity fields are corrected after the final surface elevations are obtained. Finally, the vertical final velocity fields can be calculated from the continuity equation. The numerical model is applied to the calculation of the simulation of flow fields in a rectangular open channel with the tidal influence. The comparisons with the analytical solutions show overall good agreements between the numerical results and analytical solutions.

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Wave propagation in a concrete filled steel tubular column due to transient impact load

  • Ding, Xuanming;Fan, Yuming;Kong, Gangqiang;Zheng, Changjie
    • Steel and Composite Structures
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    • 제17권6호
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    • pp.891-906
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    • 2014
  • This study aims to present a three dimensional finite element model to investigate the wave propagation in a concrete filled steel tubular column (CFSC) due to transient impact load. Both the concrete and steel are regarded as linear elastic material. The impact load is simulated by a semi sinusoidal impulse. Besides the CFSC models, a concrete column (CC) model is established for comparing under the same loading condition. The propagation characteristics of the transient waves in CFSC are analyzed in detail. The results show that at the intial stage of the wave propagation, the velocity waves in CFSC are almost the same as those in CC before they arrive at the steel tube. When the waves reach the column side, the velocity responses of CFSC are different from those of CC and the difference is more and more obvious as the waves travel down along the column shaft. The travel distance of the wave front in CFSC is farther than that in CC at the same time. For different wave speeds in steel and concrete material, the wave front in CFSC presents an arch shape, the apex of which locates at the center of the column. Differently, the wave front in CC presents a plane surface. Three dimensional effects on top of CFSC are obvious, therefore, the peak value and arrival time of incident wave crests have great difference at different locations in the radial direction. High-frequency waves on the waveforms are observed. The time difference between incident and reflected wave peaks decreases significantly with r/R when r/R < 0.6, however, it almost keeps constant when $r/R{\geq}0.6$. The time duration between incident and reflected waves calculated by 3D FEM is approximately equal to that calculated by 1D wave theory when r/R is about 2/3.