• Title/Summary/Keyword: 3-D finite difference method

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탄성지지된 3경간 연속 철근 콘크리트교의 간편한 진동해석 (Simple Method of Vibration Analysis of Three Span Continuous Reinforced Concrete Bridge with Elastic Intermediate Supports)

  • 김덕현;박제선;김성환;이정호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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    • pp.349-356
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    • 1998
  • A method of calculating the natural frequency corresponding to the first mode of vibration of beams and tower structures, with irregular cross sections and with arbitrary boundary conditions was developed and reported by Kim, D. H. in 1974. In this paper, the result of application of this method to the three span continuous reinforced concrete bridge with elastic intermediate supports in presented. Such bridge represents either concrete or sandwich type three span bridge on polymeric supports for passive control or on actuators for active control. Any method may be used to obtain the deflection influence surfaces needed for this vibration analysis. Finite difference method is used for this purpose, In this paper. The influence of the modulus of the foundation and $D_{22}$, $D_{l2}$, $D_{66}$ stiffnesses on the natural frequency is thoroughly studied.d.

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특별직교이방성 적층판이론에 의한 압연형교의 해석 (Analysis of Rolled Beam Bridge by means of Specially Orthotropic Laminates Theory)

  • 한봉구;이창수
    • 복합신소재구조학회 논문집
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    • 제1권3호
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    • pp.35-40
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    • 2010
  • 본 연구에서는 거더와 가로보로 이루어진 패널을 특별직교이방성 판 이론을 응용하여 해석하였다. 거더와 가로보는 H 형단면을 사용하였다. 본 논문에서는 특별직교이방성 판 이론을 압연형교에 응용하였으며 해석한 결과를 제시하였다. 해석결과는 보 이론과 비교하였다. 이러한 목적으로 본 논문에서는 유한차분법을 사용하였다. 고유진동수에 대한 $D_{22}$ 강성의 영향을 철저히 검토하였다. 본 연구에서는 판 이론에 의해 수치해석을 해본 결과 보 이론보다 강성이 2.43배가 되는 것을 알 수 있었다.

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Numerical study on the performance of semicircular and rectangular submerged breakwaters

  • Barzegar, Mohammad;Palaniappan, D.
    • Ocean Systems Engineering
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    • 제10권2호
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    • pp.201-226
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    • 2020
  • A systematic numerical comparative study of the performance of semicircular and rectangular submerged breakwaters interacting with solitary waves is the basis of this paper. To accomplish this task, Nwogu's extended Boussinesq model equations are employed to simulate the interaction of the wave with breakwaters. The finite difference technique has been used to discretize the spatial terms while a fourth-order predictor-corrector method is employed for time discretization in our numerical model. The proposed computational scheme uses a staggered-grid system where the first-order spatial derivatives have been discretized with fourth-order accuracy. For validation purposes, five test cases are considered and numerical results have been successfully compared with the existing analytical and experimental results. The performances of the rectangular and semicircular breakwaters have been examined in terms of the wave reflection, transmission, and dissipation coefficients (RTD coefficients) denoted by KR, KT, KD. The latter coefficient KD emerges due to the non-energy conserving KR and KT. Our computational results and graphical illustrations show that the rectangular breakwater has higher reflection coefficients than semicircular breakwater for a fixed crest height, but as the wave height increases, the two reflection coefficients approach each other. un the other hand, the rectangular breakwater has larger dissipation coefficients compared to that of the semicircular breakwater and the difference between them increases as the height of the crest increases. However, the transmission coefficient for the semicircular breakwater is greater than that of the rectangular breakwater and the difference in their transmission coefficients increases with the crest height. Quantitatively, for rectangular breakwaters the reflection coefficients KR are 5-15% higher while the diffusion coefficients KD are 3-23% higher than that for the semicircular breakwaters, respectively. The transmission coefficients KT for rectangular breakwater shows the better performance up to 2.47% than that for the semicircular breakwaters. Based on our computational results, one may conclude that the rectangular breakwater has a better overall performance than the semicircular breakwater. Although the model equations are non-dissipative, the non-energy conserving transmission and reflection coefficients due to wave-breakwater interactions lead to dissipation type contribution.

연속 주조의 응고와 벌징에 관한 3차원 해석 (Three-dimensional Analysis for Solidification and Bulging of Continuously Cast)

  • 김영대;조종래;이부윤;하만영
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2000년도 추계학술대회 논문집
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    • pp.174-177
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    • 2000
  • In this paper, The bulging behavior of the solidified shell in continuously cast slabs have been numerically analyzed using three-dimensional elasto-plastic and creep finite element method Three-dimensional model has been applied in order to investigate the effect of the narrow face shell on restraining the bulging deflection. Solidification analysis are carried out by two-dimensional finite difference method. In this way, strains occurring at the solidification front near the narrow face of the slab, as well as those occurring in the board face have been computed. The adequacy of the model has been checked against the experimental results. In addition, the effect of the slab width and casting speed on the bulging are discussed.

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Numerical Simulation of 3D Free-Surface Flows by Using CIP-based and FV-based Methods

  • Yang, Kyung-Kyu;Nam, Bo-Woo;Kim, Yong-Hwan
    • International Journal of Ocean System Engineering
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    • 제1권3호
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    • pp.136-143
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    • 2011
  • In this paper, three-dimensional free-surface flows are simulated by using two different numerical methods, the constrained interpolation profile (CIP)-based and finite volume (FV)-based methods. In the CIP-based method, the governing equations are solved on stationary staggered Cartesian grids by a finite difference method, and an immersed boundary technique is applied to deal with wave-body interactions. In the FV-based method, the governing equations are solved by applying collocated finite volume discretization, and body-fitted meshes are used. A free-surface boundary is considered as the interface of the multi-phase flow with air and water, and a volumeof-fluid (VOF) approach is applied to trace the free surface. Among many variations of the VOF-type method, the tangent of hyperbola for interface capturing (THINC) and the compressive interface capturing scheme for arbitrary meshes (CICSAM) techniques are used in the CIP-based method and FV-based method, respectively. Numerical simulations have been carried out for dam-breaking and wave-body interaction problems. The computational results of the two methods are compared with experimental data and their differences are observed.

지반-말뚝 시스템에 대한 3차원 동적 수치 모델링 기법 개발 (Development of 3D Dynamic Numerical Simulation Method on a Soil-Pile System)

  • 김성환;나선홍;한진태;김성렬;선창국;김명모
    • 한국지반공학회논문집
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    • 제27권5호
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    • pp.85-92
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    • 2011
  • 말뚝의 동적 거동은 지반-말뚝의 동적상호작용, 지반의 비선형성, 지반-말뚝 시스템의 공진 현상 등 많은 요소가 상호 작용을 하므로 매우 복잡하다. 그러므로, 말뚝의 동적 거동을 수치해석으로 정확히 모사하려면 많은 노력과 시간이 필요하다. 본 연구에서는 기존의 범용 수치해석 프로그램인 FLAC 3D를 활용하면서도 해석시간을 크게 감소 시킬 수 있는 새로운 모델링 기법을 개발하였다. 본 기법은 전체 해석 영역을 근역 지반과 원역 지반으로 나누고 지반-말뚝 동적상호작용에 영향을 받지 않는 원역 지반을 요소망으로 모델링하는 대신 원역 지반의 지반 운동 시간이력을 근역 지반의 경계 조건에 입력 하중으로 적용하는 기법이다. 이 수치 모델링에서 지진파의 강도가 클 때 일어나는 지반의 비선형 거동을 모사하기 위하여 이력 감쇠 모델을 이용하여 접선 탄성 계수를 전단 변형률의 함수 값으로 입력하였으며, 지반과 말뚝 사이의 분리 현상을 모사하기 위하여 지반-말뚝 경계 요소를 도입하였다. 이 방법은 기존의 방법과 비교하여 해석 결과의 정확성을 유지하면서 해석 시간을 1/3로 감소시켰다. 제안된 수치해석 방법으로 예측한 1g 진동대 모형 실험의 원형 거동은 원형으로 환산한 모형 실험 결과와 유사하게 나타났다.

실험값을 이용한 NATM 터널의 보강효과에 관한 수치 해석적 연구 (A Numerical Study on the NATM Tunnel Reinforcement using Centrifuge Model Experimental value)

  • 허경한;김낙석
    • 한국방재학회 논문집
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    • 제4권2호
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    • pp.13-18
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    • 2004
  • 본 연구는 유한차분법을 이용하며 변위 및 응력에 1차 적인 영향을 주는 매개변수를 구축하였으며 이를 이용하여 기존 원심모형 실험값 중 천단변위, 내공변위 결과를 수치해석상결과와 비교하였고, 모형실험에서 다양하게 구현할 수 없었던 응력, 라이닝 설치의 시간적 효과를 고려하여 강성의 차이에 따른 매개변수연구를 수행하였다. 연구결과 3차원 해석을 통한 대구경강관 그라우팅의 보강물성치는 원지반 강성의 8배인 E=4,000tf/m2일때 개략적인 지반보강효과가 발현되는 것으로 확인되었다.

복합신소재구조물의 고유진동수에 대한 하중크기의 영향 (The Influence of the Loading Sizes on Natural Frequency of the Advanced Composite Material Structures)

  • 한봉구
    • 한국구조물진단유지관리공학회 논문집
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    • 제17권3호
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    • pp.20-27
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    • 2013
  • 본 논문에서는 고유진동수를 구하기 Simple Iteration Method을 제시하였다. 이 방법은 임의의 단면과 지점을 갖고 임의의 하중을 받는 보나 탑의 진동모드와 관련된 고유진동수를 간편하면서도 정확하게 계산할 수 있는 획기적인 방법이다. 이 방법에는 공진상태에서 관성력에 기인한 부재의 처짐 모드를 구하게 된다. 진동해석을 위하여 처짐의 영향을 고려한 다양한 방법이 검토되었다. 이러한 목적으로 본 논문에서는 유한차분법을 사용하였다. 고유진동수에 대한 $D_{22}$ 휨강성의 영향을 철저하게 검토하였다. 본 논문에서는 구조 요소의 하중 분포 또는 상이한 단면에 따른 고유진동수에 대한 영향을 연구하였으며 그 결과를 제시하였다. 이 방법은 첨단복합재료를 포함한 2차원 문제에도 적용할 수 있다.

COARSE MESH FINITE DIFFERENCE ACCELERATION OF DISCRETE ORDINATE NEUTRON TRANSPORT CALCULATION EMPLOYING DISCONTINUOUS FINITE ELEMENT METHOD

  • Lee, Dong Wook;Joo, Han Gyu
    • Nuclear Engineering and Technology
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    • 제46권6호
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    • pp.783-796
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    • 2014
  • The coarse mesh finite difference (CMFD) method is applied to the discontinuous finite element method based discrete ordinate calculation for source convergence acceleration. The three-dimensional (3-D) DFEM-Sn code FEDONA is developed for general geometry applications as a framework for the CMFD implementation. Detailed methods for applying the CMFD acceleration are established, such as the method to acquire the coarse mesh flux and current by combining unstructured tetrahedron elements to rectangular coarse mesh geometry, and the alternating calculation method to exchange the updated flux information between the CMFD and DFEM-Sn. The partial current based CMFD (p-CMFD) is also implemented for comparison of the acceleration performance. The modified p-CMFD method is proposed to correct the weakness of the original p-CMFD formulation. The performance of CMFD acceleration is examined first for simple two-dimensional multigroup problems to investigate the effect of the problem and coarse mesh sizes. It is shown that smaller coarse meshes are more effective in the CMFD acceleration and the modified p-CMFD has similar effectiveness as the standard CMFD. The effectiveness of CMFD acceleration is then assessed for three-dimensional benchmark problems such as the IAEA (International Atomic Energy Agency) and C5G7MOX problems. It is demonstrated that a sufficiently converged solution is obtained within 7 outer iterations which would require 175 iterations with the normal DFEM-Sn calculations for the IAEA problem. It is claimed that the CMFD accelerated DFEM-Sn method can be effectively used in the practical eigenvalue calculations involving general geometries.

낮은 Mach수유동 해석을 위한 Preconditioning 가중계수의 의존성 (DEPENDENCE OF WEIGHTING PARAMETER IN PRECONDITIONING METHOD FOR SOLVING LOW MACH NUMBER FLOW)

  • 안영준;신병록
    • 한국전산유체공학회지
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    • 제15권2호
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    • pp.55-61
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    • 2010
  • A dependence of weighting parameter in preconditioning method for solving low Mach number flow with incompressible flow nature is investigated. The present preconditioning method employs a finite-difference method applied Roe‘s flux difference splitting approximation with the MUSCL-TVD scheme and 4th-order Runge-Kutta method in curvilinear coordinates. From the computational results of benchmark flows through a 2-D backward-facing step duct it is confirmed that there exists a suitable value of the weighting parameter for accurate and stable computation. A useful method to determine the weighting parameter is introduced. With this method, high accuracy and stable computational results were obtained for the flow with low Mach number in the range of Mach number less than 0.3.