• 제목/요약/키워드: steady heat conduction

검색결과 86건 처리시간 0.021초

확장 B-spline 기저 함수를 이용한 레벨셋 기반의 형상 최적 설계 (Level Set based Shape Optimization using Extended B-spline Bases)

  • 김민근;조선호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2008년도 정기 학술대회
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    • pp.391-396
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    • 2008
  • A level set based topological shape optimization using extended B-spline basis functions is developed for steady state heat conduction problems. The only inside of complicated domain is identified by the level set functions and taken into account in computation. The solution of Hamilton-Jacobi equation leads to an optimal shape according to the normal velocity field determined from the sensitivity analysis, minimizing a thermal compliance while satisfying a volume constraint. To obtain exact shape sensitivity, the precise normal and curvature of geometry need to be determined using the level set and B-spline basis functions. The nucleation of holes is possible whenever and wherever necessary during the optimization using a topological derivative concept.

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T형 강관 용접 이음부의 잔류응력 생성기구에 관한 연구 (A Study on the Production Mechanisms of Residual Stress in Welded T-joint of Steel Pipe Member)

  • 장경호;장갑철;경장현;이은택
    • Journal of Welding and Joining
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    • 제21권6호
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    • pp.40-45
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    • 2003
  • Steel members have advantages of resisting torsion and axial compression. In design, residual stresses at the welded joint of T-shape steel pipes are one of the most important points to be considered. In this paper, characteristics of residual stresses of welded joints are clarified by carrying out 3D non-steady heat conduction analysis and 3D thermal elastic-plastic FE-analysis. According to the results, the production mechanism of residual stresses at the welded joint of T-shape steel pipe is clarified. In this paper, circumferential stresses depended on thermal histories but axial and radial stresses were more dependent on geometrical shape than thermal histories. Residual stresses in the axial direction on the lower part of pipe member were tensile, controlled by geometrical shape. However, in case of middle part, residual stresses in all the directions were controlled by thermal histories.

비점성 평면 정체 유동 응고 문제에 대한 점근적 해석 (An Asymptotic Analysis on the Inviscid Plane Stagnation-flow Solidification Problem)

  • 유주식;엄용균
    • 대한기계학회논문집B
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    • 제24권6호
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    • pp.792-801
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    • 2000
  • The problem of phase change from liquid to solid in the inviscid plane-stagnation flow is theoretically investigated. The solution at the initial stage of freezing is obtained by expanding it in powers of time, and the final equilibrium state is determined from the steady-state governing equations. The transient solution is dependent on the three dimensionless parameters, but the equilibrium state is determined by one parameter of (temperature ratio/conductivity ratio). The effect of the fluid flow on the growth rate of the solid in the pure conduction problem can be clearly seen from the solution of the initial stage and the final equilibrium state. The characteristics of the transient heat transfer at the surface of the solid and the liquid side of the solid-liquid interface for all the dimensionless parameters are elucidated.

강교의 초기응력을 고려한 내하력 해석 (Analysis on the Load Carrying Capacity of Steel Bridges Considering Initial Stress)

  • 장경호;강재훈;장갑철
    • 한국공간구조학회논문집
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    • 제4권4호
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    • pp.129-136
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    • 2004
  • Almost the steel bridges are manufactured and constructed by using weld process. The welding is necessary for connecting the flange, web and stiffener of steel bridges. However, residual stress and welding deformation producted by welding is a causes of decreasing the load carrying capacity of steel bridges. therefore, it is need to consider the initial stresses by welding when design the steel bridge. However, the influence of initial stress producted by welding on load carrying capacity of steel bridges is not elucidated. In this paper, the initial stress state on the flange, web and stiffener of steel bridges are clarified by carrying out 3-dimensional non-steady heat conduction analysis and 3-dimensional thermal elastic-plastic analysis. The influence of initial stress by welding on load carrying capacity of steel bridges is clarified by carrying out 3-dimensional elastic-plastic finite element analysis using finite deformation theory.

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A unified method for stresses in FGM sphere with exponentially-varying properties

  • Celebi, Kerimcan;Yarimpabuc, Durmus;Keles, Ibrahim
    • Structural Engineering and Mechanics
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    • 제57권5호
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    • pp.823-835
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    • 2016
  • Using the Complementary Functions Method (CFM), a general solution for the one-dimensional steady-state thermal and mechanical stresses in a hollow thick sphere made of functionally graded material (FGM) is presented. The mechanical properties are assumed to obey the exponential variations in the radial direction, and the Poisson's ratio is assumed to be constant, with general thermal and mechanical boundary conditions on the inside and outside surfaces of the sphere. In the present paper, a semi-analytical iterative technique, one of the most efficient unified method, is employed to solve the heat conduction equation and the Navier equation. For different values of inhomogeneity constant, distributions of radial displacement, radial stress, circumferential stress, and effective stress, as a function of radial direction, are obtained. Various material models from the literature are used and corresponding temperature distributions and stress distributions are computed. Verification of the proposed method is done using benchmark solutions available in the literature for some special cases and virtually exact results are obtained.

비점성 정체 유동 응고 문제에 대한 이론적 해석 (A theoretical analysis on the inviscid stagnation-flow solidification problem)

  • 유주식
    • 설비공학논문집
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    • 제12권1호
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    • pp.1-11
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    • 2000
  • This study investigates the problem of phase change from liquid to solid in the inviscid stagnation flow. The solution of dimensionless governing equations is determined by the three dimensionless parameters of (temperature ratio/conductivity ratio), Stefan number, and diffusi-vity ratio. The solution at the initial stage of freezing is obtained by expanding it in powers of time, and the final equilibrium state is determined from the steady-state governing equations. The equilibrium state is dependent on (temperature ratio/conductivity ratio), but is independent of Stefan number and diffusivity ratio. The effect of fluid flow on the pure conduction problem can be clearly seen from the solution of the initial stage and the final equilibrium state, and the characteristics of the solidification process for all the dimensionless parameters are elucidated.

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Effective thermal conductivity model of porous polycrystalline UO2: A computational approach

  • Yoon, Bohyun;Chang, Kunok
    • Nuclear Engineering and Technology
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    • 제54권5호
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    • pp.1541-1548
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    • 2022
  • The thermal conductivity of uranium oxide (UO2) containing pores and grain boundaries is investigated using continuum-level simulations based on the finite-difference method in two and three dimensions. Steady-state heat conduction is solved on microstructures generated from the phase-field model of the porous polycrystal to calculate the effective thermal conductivity of the domain. The effects of porosity, pore size, and grain size on the effective thermal conductivity of UO2 are quantified. Using simulation results, a new empirical model is developed to predict the effective thermal conductivity of porous polycrystalline UO2 fuel as a function of porosity and grain size.

TLC 를 이용한 사각공동내의 열전도 영역에 기포의 형성으로 인한 열전달 현상 구명 (A Study of Heat Transfer Phenomena due to a Formed Gas Bubble under Heat-Conduction Domain in A Closed Square Cavity)

  • 엄용균;유재봉
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.85-89
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    • 2003
  • In a closed square cavity filled with a liquid, a cooled the upper horizontal wall and a heated the lower horizontal wall, the flow isn't generated under the ground-based condition when Rayleigh number is lower than 1700. In such case the flow phenomena near an air bubble under a cooled horizontal wall were investigated. The temperature and the flow fields were studied by using the Thermo-sensitive Liquid-Crystal and the image processing. The qualitative analysis for the temperature and the flow fields were carried out by applying the image processing technique to the original data. Injecting bubble at the center point of upper cooled wall, the symmetry shape of two vortexes near an air bubble was observed. The bubble size increased, the size of velocity and the magnitude of velocity increased. In spite of elapsed time, a pair of two vortexes was the unique and steady-state flow in a square cavity and wasn't induce to the other flow in the surround region.

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Development and validation of the lead-bismuth cooled reactor system code based on a fully implicit homogeneous flow model

  • Ge Li;Wang Jingxin;Fan Kun;Zhang Jie;Shan Jianqiang
    • Nuclear Engineering and Technology
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    • 제56권4호
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    • pp.1213-1224
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    • 2024
  • The liquid lead-bismuth cooled fast reactor has been in a single-phase, low-pressure, and high-temperature state for a long time during operation. Considering the requirement of calculation efficiency for long-term transient accident calculation, based on a homogeneous hydrodynamic model, one-dimensional heat conduction model, coolant flow and heat transfer model, neutron kinetics model, coolant and material properties model, this study used the fully implicit difference scheme algorithm of the convection-diffusion term to solve the basic conservation equation, to develop the transient analysis program NUSOL-LMR 2.0 for the lead-bismuth fast reactor system. The steady-state and typical design basis accidents (including reactivity introduction, loss of flow caused by main pump idling, excessive cooling, and plant power outage accidents) for the ABR have been analyzed. The results are compared with the international system analysis software ATHENA. The results indicate that the developed program can stably, accurately, and efficiently predict the transient accident response and safety characteristics of the lead-bismuth fast reactor system.

열전도 문제에 관한 위상 최적설계의 실험적 검증 (Topology Design Optimization and Experimental Validation of Heat Conduction Problems)

  • 차송현;김현석;조선호
    • 한국전산구조공학회논문집
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    • 제28권1호
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    • pp.9-18
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    • 2015
  • 본 논문에서는 애조인 설계민감도(DSA)를 사용하여 평형상태의 열전도문제에서 수치적으로 얻어진 위상 최적설계를 실험적으로 검증하였다. 애조인 변수법을 이용하면 해석에서 사용되었던 행렬시스템을 애조인 문제를 풀 때 그대로 활용가능하기 때문에 설계민감도를 얻는데 필요한 계산을 매우 효율적으로 수행할 수 있다. 위상 최적설계를 위해서 설계변수는 정규화된 재료밀도 함수로 정하였다. 목적함수는 구조물의 열 컴플라이언스이고 제한조건은 허용 가능한 재료량이다. 또한 열화상카메라를 활용하여 이러한 위상 최적설계로 얻어진 수치적 결과를 부피가 동일하도록 직관적으로 설계된 디자인과 비교하여 실험적으로 검증하였다. 위상 최적설계로 얻어진 결과를 실제로 제작하기 위해 간단한 수치기법을 통해 점 정보로 변환한 후 역설계 상용프로그램을 이용하여 CAD 모델링을 수행한다. 이를 바탕으로 위상 최적설계 결과를 CNC(Computerized Numerically Controlled machine tools) 선반으로 제작하였다.