• Title/Summary/Keyword: Finite Different Method

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Numerical heat transfer analysis methodology for multiple materials with different heat transfer coefficient in unstructured grid for development of heat transfer analysis program for 3 dimensional structure of building (건물의 3차원 구조체에 대한 전열해석 프로그램 개발 중 서로 다른 열전도율을 갖는 복합재질 3차원 구조의 비정렬 격자에 대한 전산해석 방법)

  • Lee, Juhee;Jang, Jinwoo;Lee, Hyeonkyun;Lee, Youngjun;Lee, Kyusung
    • KIEAE Journal
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    • v.16 no.1
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    • pp.81-87
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    • 2016
  • Purpose: Heat transfers phenomena are described by the second order partial differential equation and its boundary conditions. In a three-dimensional structure of a building, the heat transfer phenomena generally include more than one material, and thus, become complicate. The analytic solutions are useful to understand heat transfer phenomena, but they can hardly be applied in engineering or design problems. Engineers and designers have generally been forced to use numerical methods providing reliable results. Finite volume methods with the unstructured grid system is only the suitable means of the analysis for the complex and arbitrary domains. Method: To obtain an numerical solution, a discretization method, which approximates the differential equations, and the interpolation methods for temperature and heat flux between two or more materials are required. The discretization methods are applied to small domains in space and time, and these numerical solutions form the descretized equations provide approximated solutions in both space and time. The accuracy of numerical solutions is dependent on the quality of discretizations and size of cells used. The higher accuracy, the higher numerical resources are required. The balance between the accuracy and difficulty of the numerical methods is critical for the success of the numerical analysis. A simple and easy interpolation methods among multiple materials are developed. The linear equations are solved with the BiCGSTAB being a effective matrix solver. Result: This study provides an overview of discretization methods, boundary interface, and matrix solver for the 3-dimensional numerical heat transfer including two materials.

Failure Strength of the Composite Mechanical Joint according to the Stacking Angle (적층각 변화에 따른 복합재료 기계적 체결부의 파손강도)

  • Jo, Dae-Hyeon;Kim, Cheol-Hwan;Choi, Jin-Ho
    • Composites Research
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    • v.30 no.4
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    • pp.229-234
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    • 2017
  • Generally, joints are the weakest part in the composite structures. Composite joints can be classified into adhesive joints and mechanical joints, and mechanical joints are mainly used in areas less sensitive to environmental conditions. In this paper, the failure loads of composite mechanical joints with five different stacking angles are tested and predicted. Finite element analysis of mechanical joints were performed and failure loads were predicted by the FAI(Failure Area Index) method using Tsai-Wu and Yamada-Sun failure criteria, and the predicted failure loads were compared with experimental results. From the experiment and analysis, the failure loads of the mechanical joints were decreased as the ratio of 0 degree layer was low and they could be predicted within 13.03% using the FAI method and Yamada-Sun failure criteria.

Analysis of Bolted Joints for Plate Girder using Connector element (Connector 요소를 이용한 플레이트 거더 볼트이음부의 해석)

  • Hwang, Won-Sup;Min, Seon-Young;Kim, Hee-Ju
    • Journal of Korean Society of Steel Construction
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    • v.23 no.3
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    • pp.367-375
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    • 2011
  • In this study, structural behavior of bolted joints which were important elements in plate girder design was analyzed using commercial FE analysis program. Also, the numerical analysis method that simply showed behavior of bolts was proposed using the connector element of ABAQUS, nonlinear FE program. Numerical analysis was conducted to verify the proposed numerical analysis method on the basis of the experiment of previous study. In order to investigate effects of action force which was changed by locations of the bolted joints, the three different models were developed by the locations of the bolted joints and behavior for the each model was compared and analyzed by various design parameters (area of splice plates, stiffness of splice plates, and stiffness of bolts). The moment-displacement relations of structures for the various design parameters were investigated to analyze effects of each parameter in ultimate behavior of the structures. Also, the effects of each parameter were compared by force.

A Comparative Study of Genetic Algorithm and Mathematical Programming Technique applied in Design Optimization of Geodesic Dome (지오데식 돔의 설계최적화에서 유전알고리즘과 수학적계획법의 비교연구)

  • Lee, Sang-Jin;Lee, Hyeon-Jin
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.101-106
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    • 2008
  • This paper describes a comparative study of genetic algorithm and mathematical programming technique applied in the design optimization of geodesic dome. In particular, the genetic algorithm adopted in this study uses the so-called re-birthing technique together with the standard GA operations such as fitness, selection, crossover and mutation to accelerate the searching process. The finite difference method is used to calculate the design sensitivity required in mathematical programming techniques and three different techniques such as sequential linear programming (SLP), sequential quadratic programming(SQP) and modified feasible direction method(MFDM) are consistently used in the design optimization of geodesic dome. The optimum member sizes of geodesic dome against several external loads is evaluated by the codes $ISADO-GA{\alpha}$ and ISADO-OPT. From a numerical example, we found that both optimization techniques such as GA and mathematical programming technique are very effective to calculate the optimum member sizes of three dimensional discrete structures and it can provide a very useful information on the existing structural system and it also has a great potential to produce new structural system for large spatial structures.

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Improvement of Frequency Characteristics of Boundary Filter for 2-band Orthogonal Wavelet Transform using Zero Inserting Method (영점 삽입 방법을 이용한 2-대역 직교 웨이브렛 변환의 경계필터 주파수 특성 개선)

  • 권상근;박원우
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.7 no.6
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    • pp.1229-1235
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    • 2003
  • When finite length image signal is decomposed into 2-band signal and synthesized using 2-band orthogonal wavelet transform, boundary signals are not reconstructed perfectly. To reconstruct them perfectly, the filters which are different from wavelet filter are applied to the boundary signals. Since the existing boundary filters show poor frequency characteristic, the improvement of performance is bounded in practical applications. In this paper, the design method of improvement of frequency characteristic is proposed using inserting a zero to boundary filters which can reconstruct the boundary regions perfectly. Even though the length of proposed boundary filters is shorter, they show 4.2dB∼6.59dB gains in pass band and stop band error power compared with existing boundary filters. But synthesis process is some complicated.

CHARACTERISTICS OF THE FAIRCHILD 486 CCD AT MAIDANAK ASTRONOMICAL OBSERVATORY IN UZBEKISTAN (우즈베키스탄 Maidanak 천문대 Fairchild 486 CCD의 기본적인 특성)

  • Lim, Beom-Du;Sung, Hwan-Kyung;Karimov, R.;Ibrahimov, M.
    • Publications of The Korean Astronomical Society
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    • v.23 no.1
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    • pp.1-12
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    • 2008
  • Understanding of the basic characteristics of an astronomical instrument is a prerequisite to obtaining reliable data from the instrument. We have analyzed more than 1,000 calibration images from the Fairchild 486 CCD (hereafter the Maidanak 4k CCD system) attached to the AZT-22 1.5m telescope at Maidanak Astronomical Observatory in Uzbekistan. The Maidanak 4k CCD system supports three readout modes through 1, 2, or 4 amplifiers. In most cases observers use 4-amplifier readout mode to save time. We have tested the stability and seasonal variation of zero levels and confirm that two quadrants of the images (Amp 1 & 2) show no appreciable seasonal variation. but the other two quadrants (Amp 3 & Amp 4) show an evident seasonal variation in the bias level. The Cryo Tiger, the cooling system used at the Maidanak 4k CCD system, maintains the CCD temperature at -108'E, and effectively suppresses the dark electrons. The mean value versus the variance plot of the flat images does not show the expected relation for an ideal Poisson noise distribution and this is attributed to the large variation in quantum efficiency between different pixels. In addition, we confirm that there is no appreciable difference in gain between readout amplifiers, but there is a large variation in quantum efficiency across CCD chip especially in U. Due to the finite length of shutter opening and closing time, the effective exposure time varies across the science images. We introduce two parameters to quantify the effect of this uneven illumination and present a method to remove these effects. We also present a method to remove the interference patterns appearing in the images obtained with longer wavelength filters and investigate the spatial variation of the point spread function.

Analysis on the Behaviour of Foundation Using the Non-Linear Constitutive Laws (비선형구성식을 이용한 기초지반의 거동해석)

  • Jeong, Jin Seob
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.2
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    • pp.253-265
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    • 1993
  • This paper presents a numerical method for implementing a nonlinear constitutive material model developed by Lade, into a finite element computer program. The techniques used are based on the displacement method for the solution of axial symmetric and plane strain nonlinear boundary value problems. Laboratory behaviour of Baekma river sand(#40-60) is used to illustrate the determination of the parameters and verification of the model. Computer procedure is developed to determine the material parameters for the nonlinear model from the raw laboratory test data. The model is verified by comparing its predictions with observed data used for the determination of the parameters and then with observed data not used for the determination. Three categories of tests are carried out in the back-prediction exercise; (1) A hydrostatic test including loading and unloading response, (2) Conventional triaxial drained compression tests at three different confining pressure and (3) A model strip footing test not including in the evaluation of material parameters. Pertinent observations are discussed based on the comparison of predicted response and experimental data.

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Characteristics of the Cyclic Hardening in Low Cycle Environmental Fatigue Test of CF8M Stainless Steel (CF8M 스테인리스 강 저주기 환경피로 실험의 주기적 변형률 경화 특성)

  • Jeong, Il-Seok;Ha, Gak-Hyun;Kim, Tae-Ryong;Jeon, Hyun-Ik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.2
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    • pp.177-185
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    • 2008
  • Low-cycle environmental fatigue tests of cast austenitic stainless steel CF8M at the condition of fatigue strain rate 0.04%/sec were conducted at the pressure and temperature, 15MPa, $315^{\circ}C$ of a operating pressurized water reactor (PWR). The used test rig was limited to install an extensometer at the gauge length of the cylindrical fatigue specimen inside a small autoclave. So the magnet type LVDT#s were used to measure the fatigue displacement at the specimen shoulders inside the high temperature and high pressure water autoclave. However, the displacement and strain measured at the specimen shoulders is different from the one at the gauge length for the geometry and the cyclic strain hardening effect. Displacement of the fatigue specimen gauge length calculated by FEM (finite element method) used to modify the measured displacement and fatigue life at the shoulders. A series of low cycle fatigue life tests in air and PWR conditions simulating the cyclic strain hardening effect verified that the FEM modified fatigue life was well agreed with the simulating test results. The process and method developed in this study for the environmental fatigue test inside the small sized autoclave would be so useful to produce reliable environmental fatigue curves of CF8M stainless steel in pressurized water reactors.

The Static Nonlinear Analysis of the Offshore Pipeline (해저(海底)파이프라인의 정적(靜的) 비선형(非線形) 해석(解析))

  • Park, Young Suk;Chung, Tae Ju;Cho, Young
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.1
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    • pp.57-69
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    • 1990
  • The static nonlinear analysis of offshore pipeline is carried out by the finite element method. The governing equilibrium equation are derived by the principle of minimum potential energy and the modified Newton-Raphson procedure is used to solve the system of nonlinear algebraic equation. Geometrically nonlinear beam elements and spring elements are utilized to model the pipeline, stinger, pipe supports and seabed simultaneously. The beam element developed can be used to model redundant structures. It provides for both the torsional deformation and elongation of pipeline, and permits the use of different physical properties in each principal direction. The validity of this method is investigated by comparing the results with these obtained by other methods.

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Hybrid Stress Analysis around a Circular Hole in a Tensile Plate by Use of Phase Shifting Photoelasticity (광탄성 위상이동법에 의한 인장시편 원형 구멍주위 하이브리드 응력해석)

  • Baek, Tae-Hyun;Lee, Choon-Tae;Yang, Min-Bok
    • Journal of the Korean Society for Nondestructive Testing
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    • v.27 no.1
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    • pp.15-22
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    • 2007
  • A hybrid experimental-numerical method is presented for determining the stresses around a circular hole in a finite-width, tensile loaded plate. Measured fringe orders along straight lines provided the input information on the external boundary of the hybrid element. In order to see the effects of varying stress field, different numbers of terms in a power-series representation of the complex type conformal mapping stress function were tested. For qualitative comparison, actual isochromatic fringes were compared with reconstructed theoretical fringes using stress-optic law. For quantitative comparison, relative errors and standard deviations with respective to relative errors were analyzed for all measured points by changing the number of terms of stress function. The hybrid results are highly comparable with those predicted by FEA. The results show that this approach is effective and promising because isochromatic data along the straight lines in photoelasticity can be conveniently measured by use of phase shifting photoelasticity.