• Title/Summary/Keyword: numerical value

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Numerical Analysis on Melting and Solidification of Pure Metals with Enthalpy-Porosity Model

  • Kim, Sin;Chung, Bun-Jin;Kim, Min-Chan
    • Journal of Energy Engineering
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    • v.11 no.2
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    • pp.99-105
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    • 2002
  • A finite volume numerical approach is developed and used to simulate convection-dominated melting and solidification problems. The present approach is based on the enthalpy-porosity method that is traditionally used to track the motion of the liquid-solid front and to obtain the temperature and velocity profiles in the liquid-phase. The enthalpy-porosity model treats the solid-phase as the porosity in all computational cells that are located on the solid-liquid interfacial boundary. Concerning the computational cells that are fully located in the solid side of the interfacial boundary, the zero value of the porosity severely suppresses the velocity vector to practically a non-existent value that could be set equal to zero. A comparative analysis with the previous numerical approaches is performed to demonstrate the improved features of the presented model. Results of a melting and solidification experiments are also used to assess and evaluate the performance of the model.

Analysis of Orthotropic Spherical Shells under Symmetric Load Using Runge-Kutta Method (Runge-Kutta법을 이용한 축대칭 하중을 받는 직교 이방성 구형쉘의 해석)

  • Kim, Woo-Sik;Kwun, Ik-No;Kwun, Taek-Jin
    • Journal of Korean Association for Spatial Structures
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    • v.2 no.3 s.5
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    • pp.115-122
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    • 2002
  • It is often hard to obtain analytical solutions of boundary value problems of shells. Introducing some approximations into the governing equations may allow us to get analytical solutions of boundary value problems. Instead of an analytical procedure, we can apply a numerical method to the governing equations. Since the governing equations of shells of revolution under symmetric load are expressed by ordinary differential equations, a numerical solution of ordinary differential equations is applicable to solve the equations. In this paper, the governing equations of orthotropic spherical shells under symmetric load are derived from the classical theory based on differential geometry, and the analysis is numerically carried out by computer program of Runge-Kutta methods. The numerical results are compared to the solutions of a commercial analysis program, SAP2000, and show good agreement.

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Robust Singular Value Decomposition BaLsed on Weighted Least Absolute Deviation Regression

  • Jung, Kang-Mo
    • Communications for Statistical Applications and Methods
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    • v.17 no.6
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    • pp.803-810
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    • 2010
  • The singular value decomposition of a rectangular matrix is a basic tool to understand the structure of the data and particularly the relationship between row and column factors. However, conventional singular value decomposition used the least squares method and is not robust to outliers. We propose a simple robust singular value decomposition algorithm based on the weighted least absolute deviation which is not sensitive to leverage points. Its implementation is easy and the computation time is reasonably low. Numerical results give the data structure and the outlying information.

Characteristics of in situ stress regime measured by hydraulic fracturing technique and its application on tunnel design (현지암반 초기지압의 분포특성 및 암반터널설계에의 적용)

  • Choi, Sung-Oong
    • Tunnel and Underground Space
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    • v.7 no.4
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    • pp.323-333
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    • 1997
  • A rock mass is usually classified by the results of geological survey and laboratory tests on rock specimens in order to obtain the adequate properties for the numerical analysis. For these purposes a rock mass strength is estimated based on the empirical criterion proposed by Hoek and Brown and a modulus of deformation is taken with the empirical relations developed by Bieniawski, Serafim and Pereira. In addition, the $K_o$ value which is the ratio of the horizontal stress to the vertical stress is one of the most important input data in the numerical analysis. Its role on a tunnel stability analysis could be verified with the numerical results taken by a finite difference code or a distinct element code. However, a deduced value used to be applied for the $K_o$ value in most of tunnel designs, even though the patterns of stress tensor are variable with regions and depths. Thus in situ stresses were measured by a hydraulic fracturing technique on several tunnel sites and applied directly to the tunnel design for the enhancement of its precision. With those informations on in situ stresses, the safe design should be obtained economically on the road or subway tunnels.

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Effect of Intravascular Laser Irradiation on Lipoprotein(a) (저용량 He-Ne 레이저 정맥내(靜脈內) 조사(照射)가 혈중(血中) Lipoprotein(a)에 미치는 영향(影響))

  • Lee, Dong-Joon;Sun, Jung-Ki;Choi, Chang-Won;Lim, Jin-Hoon
    • The Journal of Internal Korean Medicine
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    • v.21 no.5
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    • pp.839-844
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    • 2000
  • Objectives : The purpose of study was to investigate the effect of ILlB(intravascular laser irradiation of blood) on serum lipoprotein(a) Methods : The 12 case is diagnosed as cerebrovascular diseases on computed tomograghy. The 18 case is not observed abnormality on computed tomograghy but, they have neurological sign. Blood test was enforced on the first medical examination, The 15 case with plasma lipoprotein(a) greater than 30 mg/dl have been classified into abnormal group and the 15 case of less than 30 mg/dl have been classified into control group. after ten times ILlB, It was observed that the change of plasma lipoprotein(a) and a fibrinogen of blood clotting factor. Conclusions : 1. After ten times ILlB, plasma lipoprotein(a) numerical value was decreased on 13 case of abnormal group. 2. Plasma lipoprotein(a) numerical value was decreased on 5 case of control group. 3. The twenty in fifteen patient's with hyperlipoproteinemias have been fibrinogenemias and after ILIB treatment, in the all of 16 case with hyperfibrinogenemia in the first medical examination to both abnormal and control group, plasma fibrinogen numerical value was decreased.

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Erosion Criteria for the Progressive Collapse Analysis of Reinforcement Concrete Structure due to Blast Load (철근콘크리트 건물의 폭발하중에 의한 연쇄붕괴 해석을 위한 침식 기준)

  • Kim, Han-Soo;Ahn, Hyo-Seong
    • Journal of the Korea Concrete Institute
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    • v.26 no.3
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    • pp.335-342
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    • 2014
  • In this paper, reference erosion criteria value suitable for progressive collapse analysis of RC structure due to blast load is proposed. Erosion is fundamentally a numerical technique to overcome the problems such as large numerical errors or abrupt termination of analysis and previous study has been suggested value for blast analysis. But concrete has different stress-strain curve according to strain rate. Consequently, the erosion criteria for the realistic progressive collapse simulation were suggested by comparing experiment results and numerical analysis results. Finally, the real progressive collapse of Oklahoma Federal Building was analyzed by using the median value of two values. And as a result, the analysis result is the actual collapse of the well described.

Experimental and numerical investigation of composite conical shells' stability subjected to dynamic loading

  • Jalili, Sina;Zamani, Jamal;Shariyat, M.;Jalili, N.;Ajdari, M.A.B.;Jafari, M.
    • Structural Engineering and Mechanics
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    • v.49 no.5
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    • pp.555-568
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    • 2014
  • In this article, stability of composite conical shells subjected to dynamic external pressure is investigated by numerical and experimental methods. In experimental tests, cross-ply glass woven fabrics were selected for manufacturing of specimens. Hand-layup method was employed for fabricating the glass-epoxy composite shells. A test-setup that includes pressure vessel and data acquisition system was designed. Also, numerical analyses are performed. In these analyses, effect of actual geometrical imperfections of experimental specimens on the numerical results is investigated. For introducing the imperfections to the numerical models, linear eigen-value buckling analyses were employed. The buckling modes are multiplied by very small numbers that are derived from measurement of actual specimens. Finally, results are compared together while a good agreement between results of imperfect numerical analyses and experimental tests is observed.

Computations of Numerical Deviations of Equations for Souring Depth Comparing with 1-D and 2-D Numerical Model (1, 2차원 수치해석에 따른 기존 세굴심 산정식 편차 산정)

  • Choi, Han-Kuy;Park, Tae-Hyun;Lee, Yeong-Seop
    • Journal of Industrial Technology
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    • v.28 no.B
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    • pp.185-191
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    • 2008
  • This study tried the 1st, 2nd dimensional numerical analysis according to the pier's shape, size and installing method in order to compare the depth of scour calculation method using the variables calculated by using the 2nd dimensional numerical analysis with the calculated depth of scour value by using the calculated variables by using the 1st dimensional numerical analysis. And then verified the problems occurring when the depth of scour is calculated by using the calculated values by using the 1st dimensional numerical analysis, as calculating the deviation depending on it.

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A Study on the Stability Boundaries for Single Layer Latticed Domes under Combined Loads (조합하중을 받는 단층 래티스 돔의 안정경계에 관한 연구)

  • 한상을;이갑수
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.85-91
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    • 2000
  • The smallest value of the load when the equilibrium condition becomes to be unstable is defined as the buckling load. The primary objective of this paper is to analyse stability boundaries for star dome under combined loads and is to investigate the iteration diagram under the independent loading parameter In numerical procedure of the geometrically nonlinear problems, Arc Length Method and Newton-Raphson iteration method is used to find accurate critical point(bifurcation point and limit point). In this paper independent loading vector is combined as proportional value and star dome was used as numerical analysis model to find stability boundary among load parameters and many other models as multi-star dome and arches were studied. Through this study we can find the type of buckling mode and the value of buckling load.

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A Study On The Arc Resistance of $SF_6$ Gas Circuit Breaker ($SF_6$ 가스차단기의 아크저항에 관한 연구)

  • Chong, Jin-Kyo;Lee, Woo-Young;Kim, Gyu-Tak
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.9
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    • pp.1566-1570
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    • 2007
  • [ $SF_6$ ] gas circuit breakers are widely used for short circuit current interruption in EHV(Extra High Voltage) or UHV(Ultra High Voltage) power systems. To develop $SF_6$ gas circuit breakers, the arc resistance value is necessary to compare experimental results to numerical ones. The arc resistance value can be obtained from a breaking test with a $SF_6$ gas circuit breaker. The direct testing or synthetic testing facility is widely used to verify the breaking ability for $SF_6$ gas circuit breakers. We employed the simplified synthetic testing facility to test a $SF_6$ gas circuit breaker prototype. The arc resistance characteristic was measured and calculated under the various experimental conditions. This arc resistance value can be used for verifying the numerical results from arc simulation in a circuit breakers.