• 제목/요약/키워드: central finite difference

검색결과 122건 처리시간 0.025초

동해의 지진해일 처오름 모의 (Simulation of Run-up of Tsunamis in the East Sea)

  • 김재홍;조용식
    • 한국수자원학회논문집
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    • 제38권6호
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    • pp.461-469
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    • 2005
  • 본 연구에서는 지진해일에 의하여 동해안에 발생하는 처오름을 모의하기 위하여 2차 정확도의 풍상차분기법을 사용하였으며, 그 결과는 현장관측값과 1차 정확도의 풍상차분기법의 산정 결과와 비교하였다. 수치해석 모형에서는 지배방정식으로 원해에서는 선형 천수 방정식, 근해에서는 비선형 천수방정식을 사용하였다. 대상 지진해일은 1983년 지진해일과 1993년 지진해일이다. 수치해석 결과 동해안의 처오름높이를 잘 재현하는 것으로 확인되었다. 또한, 지진해일 처오름 모의 결과를 범람도 작성에 이용할 수 있을 것으로 판단된다.

상악중절치에서 전부도재관의 finish line형태에 따른 파절강도와 응력 분포에 관한 연구 (THE FRACTURE RESISTANCE AND STRESS DISTRIBUTION OF ALL CERAMIC CROWNS WITH TWO TYPES OF FINISH LINE ON MAXILLARY CENTRAL INCISOR)

  • 기태석;김계순;이진한;김유리;동진근
    • 대한치과보철학회지
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    • 제41권4호
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    • pp.405-420
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    • 2003
  • Purpose : The purpose of this study was to compare the fracture resistance of the IPS Empress ceramic crown with 1.0mm width rounded shoulder, which is usually recommended in all ceramic crown. and 0.5mm width chamfer finish lines on the maxillary central incisor. Material and method : After 15 metal dies were made for each group, the IPS Empress all ceramic crowns were fabricated and cemented with resin cement(Bistite resin cement, Tokuyama Soda Co. LTD., Japan) on the metal die. The cemented crowns were mounted on the positioning jig and the universal testing machine(Zwick Z020, Zwick Co. Germany)was used to measure the fracture strength with loading on the incisal edge. And also, three-dimensional finite element stress analysis was used to measure the stress distribution with the various types of the finish lines(1.0mm width rounded shoulder, 0.5mm width chamfer), the loading site(incisal edge, incisal $\frac{1}{3}$) and the type of loading(concentration loading, distribution loading). Results and conclusion : 1. In the fracture resistance experiment according to the finish line, the mean fracture strength of rounded shoulder(876N) and the mean fracture strength of chamfer(882N) did not skew any significant difference between each other(p>0.05). 2. The stress distribution of all ceramic crown in three dimensional finite element analysis showed concentration aspect at loading point and cervical area or labial surface. 3. In metal die, there were no differences in stress distribution between finish lines, but in natural teeth model, chamfer finish line showed higher stress than rounded shoulder finish line. 4. When force was loaded on the incisal edge the stress was concentrated on the incisal edge and the cervical area of labial surface. When force was loaded on the incisal $\frac{1}{3}$, the stress concentrated on the cervical area of labial surface and the cingulum area. 5. Generally, natural teeth model showed higher and various stress than the metal die.

단일치 임플랜트 지지 보철물에서 고정체와 지대주 나사 직경의 차이에 따른 삼차원 유한요소법적 응력 분석 (THREE-DIMENSIONAL FINITE ELEMENT STRESS ANALYSIS OF SINGLE IMPLANT RESTORATION USING DIFFERENT FIXTURE AND ABUTMENT SCREW DIAMETERS)

  • 권주홍;최민호;김유리;조혜원
    • 대한치과보철학회지
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    • 제43권1호
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    • pp.105-119
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    • 2005
  • Statement of problem. As the effects of the various diameters of fixture and abutment screw on stress distribution was not yet examined, this study focused on the different design of single implant restoration using three dimensional finite element analysis. Purpose. This study was to compare five different fixture-abutment combinations for single implant supported restorations with different fixture and abutment screw diameters. Material of methods. The five kinds of finite element models were designed by 3 diameter fixtures ($\oslash$3.3, 3.75, 5.0 mm) with 3 different abutment screws $\oslash$1.5, 1.7, 2.0 mm). The crown for mandibular first molar was made using UCLA abutment according to Wheeler's anatomy. 244 N was applied at the central fossa with two different loading directions, vertically and obliquely (30$^{\circ}$) and at the buccal cusp vertically. Maximum von Mises stresses were recorded and compared in the supporting bone, crowns, fixtures, and abutment screws. Results. 1. The stresses in supporting bone and implant-abutment structure under oblique loading were greater than those under vertical or offset loading. The stresses under vertical loading were the least among 3 loading conditions regardless of the implant and abutment screw diameters. 2. The stresses in the narrow implants were greater than the wider implants. The narrow implant with narrow abutment screw showed highest stresses in the lingual crest, but the narrow implant with standard abutment screw showed highest stress in abutment screw. 3. The stresses of abutment screws were influenced by the diameter of fixtures and loading conditions. The wide implants showed least difference between two different abutment screw diameters. Conclusions. The wide implants showed lesser stresses than the narrow implants and affected least by the different abutment screw diameters. The narrow implants with standard abutment screw showed highest stresses in the lingual bony crest under oblique loading.

Comparative Analysis of Stress Distribution in Composite Resin Brackets with Metal Slot of Permanent Maxillary Central Incisor Using the Finite Element Method: A Pilot Study

  • Im, Jae-Jung;Song, Jae-Joon;Kim, Nan-Hee;Heo, Jin-Young;Jung, Gyu-Un;Hwang, Kyung-Gyun;Park, Chang-Joo
    • Journal of Korean Dental Science
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    • 제4권2호
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    • pp.46-51
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    • 2011
  • Purpose: For aesthetic reasons, composite resin brackets are widely used. However, related studies are rare. This pilot study sought to compare the stress distributions in two commercially available composite resin brackets with metal slot. Materials and Methods: Two commercially available resin brackets -- full-metal slot resin bracket (fSRB) and partial-metal slot resin bracket (pSRB) with straight wire appliance dimension of $0.022{\times}0.028$ in -- were selected. In each bracket, 3-dimensional finite element models were constructed, and stress level was evaluated using finite element analysis. By loading the tipping force and torsion moment, which are similar to those applied by the stainless steel rectangular wire ($0.019{\times}0.025$ -in), stress distributions were calculated, and von Mises stress values were obtained. Results: In pSRB and fSRB, the stress value of the torque moment was much higher than that of the tipping force. The pSRB showed higher stress value than fSRB in both tipping force and torque moment because of the difference in size and configuration of the metal frame inserted into the slot. More stress was also found to be concentrated on the slot area than the wing area in fSRB. Conclusion: The slot form of fSRB was found to be more resistant to the stress of tipping and torque than the slot form of pSRB. In addition, the slot areas -- rather than the wing areas -- of the bracket showed breakage susceptibility. Therefore, resistance to the torque moment on the slot area should be considered in bracket design.

3차원 경합 海水流動 모델의 開發과 水營蠻의 폐수유동 (Development of Three-dimensional Baroclinic Hydrodynamic Model and flow Patterns of the Suyoung Bay)

  • 김차겸;이종섭
    • 한국해양학회지
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    • 제28권2호
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    • pp.86-100
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    • 1993
  • ADI(Alternating Direction Implicit) 유한차분법을 사용하여 3차원 경합 해수유 동 모델 BACHOM-3을 개발하였다. 본 모델을 장방형 내만에서 하나의 결점을 갖는 정상 파에 적용하여 해석해와 비교하였으며, 그 결과 해석해와 잘 일치하였다. 모델의 현지 적용성과 수영만의 해수유동을 조사하기 위해 모델을 수영만에 적용하여 대조기 평수 시 현지관측결과와 비교하였으며, 그 결과 현지 관측결과와 비교적 잘 일치하였다. 만 중앙부의 제 1층(수심 0∼2 m)과 제 2층(수심 2∼5 m)에서 조석잔차류는 시계방향으로 회전하는 순환류가 나타났으며, 또한 낙조류가 창조류보다 강하게 나타났다. 계산된 유속분포에 의하면, 표층과 저층 사이에 유속의 위상차가 나타나며, 표층으로 갈수록 위상의 지연이 나타났다. 그리고, 본 모델을 홍수시와 바람 효과를 고려한 흐름 장의 계산에도 적용하였다. 해양에서 육지로 바람이 불 때 표층에서는 풍향에 대응하는 유 속분포를 나타냈으나, 저층의 육지경계부근에서는 풍향과 반대방향의 흐름이 나타났 다.

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임플란트 경부의 역사면 디자인이 변연골 응력분포에 미치는 영향 (The effect of implant system with reverse beveled platform design on marginal bone stress distribution)

  • 차지영;조진현;조광헌
    • 대한치과보철학회지
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    • 제48권4호
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    • pp.266-272
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    • 2010
  • 연구 목적: 임플란트 경부 역사면의 디자인이 변연골 응력분포에 미치는 영향을 알아보기 위해 유한요소법을 사용하여 비교분석하였다. 연구 재료 및 방법:경부 직경 5.5 mm, 길이 8 mm의 매립형 (submerged type) 고정체 (Dentis Co., Daegu, Korea)를 연구모델로 선정하였다. 임플란트 경부 역사면의 디자인을 높이 (h, 0.4 mm, 1.0 mm)와폭경({5.5 - (3.34 + 2b)} / 2, [b, 0.2 mm, 0.3 mm, 0.4 mm])을 다르게 하여 총 여섯 가지의 실험 임플란트 조합으로 구분하였다. 축대칭 유한요소모델링을 이용하여 임플란트/악골 복합체에 대해 임플란트 장축에 평행한 방향으로 치관 교합면의 중심부에 수직 하중 100 N이 작용할 때 변연골의 최대압축응력을 산출하여 비교 하였다. 결과: 여섯 개의 모든 실험 임플란트 모델에서 변연골의 응력집중이 관찰되지 않았다. 변연골 응력은 임플란트 경부 역사면의 폭과 높이의 차이에 따라 달라지는 것이 관찰되었으며 사면각이 클수록 응력 집중이 증가하는 경향을 보였다. 결론: 임플란트 경부 역사면 디자인의 부여는 변연골 응력 분포 개선에 중요한 역할을 할 수 있을 것으로 여겨진다.

도체 구조물의 과도 산란 해석을 위한 결합 적분방정식의 안정된 MOT 기법 (A Stable MOT Scheme with Combined Field Integral Equation for the Analysis of Transient Scattering from Conducting Structure)

  • 이창화;안옥규;권우현;정백호
    • 한국전자파학회논문지
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    • 제19권4호
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    • pp.427-435
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    • 2008
  • 본 논문에서는 3차원 임의 형태 도체 구조의 과도 산란 해석을 위한 결합 적분방정식(CFIE)의 안정된 MOT(Marching-On in Time) 방법을 제안한다. 결합 적분방정 식은 전장 및 자장 적분방정식의 선형적인 결합으로 구성된다. 공식의 전개 과정에서 전방 및 후방, 그리고 중앙 유한 차분을 포함시켜 일반화된 식을 구성하며, 파라미터에 의하여 유한 차분의 종류를 선택할 수 있다. 적분방정식에서 시간에 대한 미분 항을 중앙 유한 차분법으로 근사시키고, 그 외의 시간 의존 항을 평균치로 표현하였을 때, 도체로부터의 과도 산란해는 가장 안정되고 정확하였다. 중앙 유한 차분법을 적용한 MOT 기법에 의한 해를 기존의 방법과 주파수 영역 결합 적분방정식(FD-CFIE)으로부터 얻은 결과의 역 푸리에 변환과 비교한다.

Time-Multiplexed RF Transmission to Improve $B_1$ Homogeneity in High Field MRI

  • Han, Byung-Hee;Seo, Jeung-Hun;Heo, Hye-Young;Lee, Soo-Yeol
    • 대한의용생체공학회:의공학회지
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    • 제29권2호
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    • pp.99-106
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    • 2008
  • To improve $B_1$ homogeneity in high field MRI, the RF power is applied to the transmit array coil elements sequentially in the time-multiplexed way. Since only a single coil element is activated in a time-multiplexing slot, the global standing wave formation in the human body is greatly suppressed. The time-multiplexing slot width is on the order of micro seconds, hence, high-order-harmonic slices can be placed far from the transmit coil and simultaneous multiple slice selection can be avoided. The $B_1$ homogeneities of a birdcage coil and an eight-channel transmit array coil have been compared through finite difference time domain simulations. The simulation results indicate that the proposed technique can reduce the peak-to-peak $B_1$ inhomogeneity down to one fourth of the transmission with a birdcage coil on the central plane of the human head model at 3 T. The mimicking experiments at 3 T, eight separate experiments with a single coil element activated and image reconstruction by combining the eight images, also show promising results. It is expected that the proposed technique has some advantages over other $B_1$ improving methods in real practice since simple RF switching circuitries are only necessary and electromagnetic coupling between the coil elements is out of concern in its realization.

탄성지반상에 놓인 철근콘크리트 축대칭 쉘의 정적 및 동적 해석(II) -축대칭 쉘의 동적 응답 해석을 중심으로 - (Static and Dynamic Analysis of Reinforced Concrete Axisymmetric Shell on the Elastic Foundation -With Application to the Dynamic Response Analysis of Axisymmetric Shell-)

  • 조진구
    • 한국농공학회지
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    • 제38권5호
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    • pp.74-84
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    • 1996
  • Dynamic loading of structures often causes excursions of stresses well into the inelastic range and the influence of geometric changes on the dynamic response is also significant in many cases. Therefore, both material and geometric nonlinearity effects should be considered in case that a dynamic load acts on the structure. For developing a program to analyze the dynamic response of an axisymmetric shell in this study, the material nonlinearity effect on the dynamic response was formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a total Lagrangian coordinate system, and the equilibrium equation of motion was numerically solved by a central difference scheme. A complete finite element program has been developed and the results obtained by it are compared with those in the references 1 and 2. The results are in good agreement with each other. As a case study of its application, the developed program was applied to a dynamic response analysis of a nuclear reinforced concrete containment structure. The results obtained from the' numerical examples are summarized as follows : 1. The dynamic magnification factor of the displacement and the stress were unrelated with the concrete strength. 2. As shown by the results that the displacement dynamic magnification factor were form 1.7 to 2.3 and the stress dynamic magnification factor from 1.8 to 2.5, the dynamic magnification factor of stress were larger than that of displacement. 3. The dynamic magnification factor of stress on the exterior surface was larger than that on the interior surface of the structure.

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Design of Crisscrossed Double-Layer Birdcage Coil for Improving B1+ Field Homogeneity for Small-Animal Magnetic Resonance Imaging at 300 MHz

  • Seo, Jeung-Hoon;Han, Sang-Doc;Kim, Kyoung-Nam
    • Journal of Magnetics
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    • 제20권3호
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    • pp.308-311
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    • 2015
  • We design a crisscrossed double-layer birdcage (DLBC) coil by modifying the coil geometry of a standard single-layer BC (SLBC) coil to enhance the homogeneity of transmitting magnetic flux density ($B_1{^+}$) along the main magnetic field ($B_0$)-direction for small-animal magnetic resonance imaging (MRI) at 300 MHz. The performance assessment of the crisscrossed DLBC coil is conducted by computational analysis with the finite-difference time domain method (FDTD) and compared with SLBC coil in terms of the $B_1$ and the $B_1{^+}$ distribution. As per the computational calculation studies, the mean value in the two-dimensional $B_1{^+}$ map obtained at the mid-axial slice with the proposed DLBC coil is slightly lower than that obtained with the SLBC coil, but the $B_1{^+}$ value of the DLBC coil in the outermost plane (40 mm away from the central plane) shows improvements of 19.3% and 24.8% over the SLBC coil $B_1{^+}$ value when simulating a spherical phantom and realistic mouse body modeling. These simulation results indicate that, the $B_1{^+}$ homogeneity along the z-direction was improved by using DLBC configuration. Our approach enables $B_1{^+}$ homogeneity improvement along the zdirection, and it can also be applied to ultra-high field (UHF) MRI systems.