• Title/Summary/Keyword: numerical formulation

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Mitigation of liquefaction-induced uplift of underground structures by soil replacement methods

  • Sudevan, Priya Beena;Boominathan, A.;Banerjee, Subhadeep
    • Geomechanics and Engineering
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    • v.23 no.4
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    • pp.365-379
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    • 2020
  • One of the leading causes for the damage of various underground structures during an earthquake is soil liquefaction, and among this liquefaction-induced uplift of these structures is a major concern. In this study, finite-difference modelling is carried out to study the liquefaction-induced uplift of an underground structure of 5 m diameter (D) with and without the replacement of the in-situ fine sand around the structure with the coarse sand. Soil replacements are carried out by three methods: replacement of soil above the structure, around the structure, and below the structure. The soil behaviour is represented using the elastic-perfectly plastic Mohr-Coulomb model, where the pore pressures were computed using Finn-Byrne formulation. The predicted pore pressure and uplift of the structure due to sinusoidal input motion were validated with the centrifuge tests reported in the literature. Based on numerical studies, an empirical equation is developed for the determination of liquefaction-induced maximum uplift of the underground structure without replacement of the in-situ sand. It is found that the replacement of soil around the structure with 2D width and spacing of D can reduce the maximum uplift by 50%.

Calculation of 3-Dimensional Flow Through an Impeller of Centrifugal Compressor (원심압축기 회전차 내부의 3차원 유동해석)

  • ;;Kang, S. H.;Jeon, S. G.
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.10
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    • pp.2617-2629
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    • 1995
  • The flow through a centrifugal compressor rotor was calculated using the quasi-3-dimensional and fully 3-dimensional Navier-Stokes solution methods. The calculated results, obtained during the development of the computer codes for both methods are discussed. In the inviscid quasi 3-dimensional analysis, stream function formulation was used for the blade to blade (B-B) plane calculations, and the streamline curvature method was used for the meridional (H-S) plane calculations. In the viscous 3-dimensional flow analysis, a control volume method based on a general rotating curvilinear coordinate system was used to solve the time-averaged Navier-Stokes equations, and a standard k-.epsilon. model was used to obtain eddy viscosity. The quasi-3-dimensional analysis reasonably predicts the pressure distributions and requires much less computation time in the region where viscous effects are not strong; however, it fails to predict velocity field and loss mechanism through the impeller passage. The viscous 3-dimensional flow analysis shows reasonable pressure distributions and typical jet-wake flow field through the impeller passage. Secondary flow and total pressure distributions on cross-sectional planes explain the loss mechanisms through the impeller.

A Modified Approach to Density-Induced Support Vector Data Description

  • Park, Joo-Young;Kang, Dae-Sung
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.7 no.1
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    • pp.1-6
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    • 2007
  • The SVDD (support vector data description) is one of the most well-known one-class support vector learning methods, in which one tries the strategy of utilizing balls defined on the feature space in order to distinguish a set of normal data from all other possible abnormal objects. Recently, with the objective of generalizing the SVDD which treats all training data with equal importance, the so-called D-SVDD (density-induced support vector data description) was proposed incorporating the idea that the data in a higher density region are more significant than those in a lower density region. In this paper, we consider the problem of further improving the D-SVDD toward the use of a partial reference set for testing, and propose an LMI (linear matrix inequality)-based optimization approach to solve the improved version of the D-SVDD problems. Our approach utilizes a new class of density-induced distance measures based on the RSDE (reduced set density estimator) along with the LMI-based mathematical formulation in the form of the SDP (semi-definite programming) problems, which can be efficiently solved by interior point methods. The validity of the proposed approach is illustrated via numerical experiments using real data sets.

Dynamic Contact Analysis of Composite Structures by Connecting Finite Element Subdomains (유한요소 부영역의 결합을 통한 복합재료 구조물의 동적 접촉 해석)

  • Sin, Ui Seop
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.5
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    • pp.55-62
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    • 2003
  • Subdomain-interface variational formulation is presented to solve a class of dynamic contact problems of composite structures. The penalty method is used for imposing inequality constraints on contact surfaces and for connecting finite element subdomains that satisfy interface compatibility conditions. As a result, any complex-shaped domain can be easily divided into independently modeled subdomains without considering the conformity of meshes on interfaces. Some advantageous features of the present method are shown through a set a numerical studies with a developed computer code.

Finite element analysis of viscoelastic flows in a domain with geometric singularities

  • Yoon, Sung-Ho;Kwon, Young-Don
    • Korea-Australia Rheology Journal
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    • v.17 no.3
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    • pp.99-110
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    • 2005
  • This work presents results of finite element analysis of isothermal incompressible creeping viscoelastic flows with the tensor-logarithmic formulation of the Leonov model especially for the planar geometry with singular comers in the domain. In the case of 4:1 contraction flow, for all 5 meshes we have obtained solutions over the Deborah number of 100, even though there exists slight decrease of convergence limit as the mesh becomes finer. From this analysis, singular behavior of the comer vortex has been clearly seen and proper interpolation of variables in terms of the logarithmic transformation is demonstrated. Solutions of 4:1:4 contraction/expansion flow are also presented, where there exists 2 singular comers. 5 different types spatial resolutions are also employed, in which convergent solutions are obtained over the Deborah number of 10. Although the convergence limit is rather low in comparison with the result of the contraction flow, the results presented herein seem to be the only numerical outcome available for this flow type. As the flow rate increases, the upstream vortex increases, but the downstream vortex decreases in their size. In addition, peculiar deflection of the streamlines near the exit comer has been found. When the spatial resolution is fine enough and the Deborah number is high, small lip vortex just before the exit comer has been observed. It seems to occur due to abrupt expansion of the elastic liquid through the constriction exit that accompanies sudden relaxation of elastic deformation.

Recent Development in Computational Welding Mechanics (전산용접역학의 최근 동향)

  • Im, Se-Young;Han, You-Sung;Lee, Kye-Hyoung;Han, Myoung-Soo;Choi, Kang-Hyouk
    • Proceedings of the KWS Conference
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    • 2009.11a
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    • pp.87-91
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    • 2009
  • Welding is one of the most important joining processes and the effect of welding residual stresses in the structure has a great deal of influence on its quality. In this paper, recent development in computational welding mechanics, particularly calculation of welding residual stresses, is introduced. The hypoelastic formulation of finite element analysis for thermoelastic-plastic deformation is applied to welding processes to find residual deformations and stresses. Leblond's phase evolution equation coupled with the energy equation is employed to calculate the phase volume fraction; this plays an important role as a kinetics parameter affecting phase fraction effects in the mechanical constitutive equation of welded materials. Furthermore, transformation plasticity is taken into account for an accurate evaluation of stress. The influence of the phase transformation and the transformation plasticity on residual stress is investigated by means of numerical analyses using metallurgical parameters in Leblond's phase evolution equation that are adjusted with respect to various cooling rates in a CCT-diagram. Coding implementation is conducted by way of the ABAQUS user subroutines, UMAT.

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Development of a Model for Fluid Analysis of Water Jet Using Automatic Javan(Salted-dry Seaweeds) Dryer Machine (전자동 자반건조기 제작에 이용할 Water Jet의 유동해석 모델)

  • Kim, Ill-Soo;Park, Chang-Eun;Jeung, Young-Jae;Son, Joon-Sik;Nam, Ki-Woo
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.7 no.5
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    • pp.53-58
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    • 1998
  • This paper concentrates on the development of a computational design program to determine nozzle size in water jet, combing the numerical optimization technique with the flow analysis code. To achieve the above objective, a two-dimensional model was developed for investigating the fluid flow in water jet and calculating the velocity and pressure distributions. The mathematical formulation as a standard ${k}-\varepsilon$ model was solved employing a general thermo fluid-mechanics computer program, PHOENICS code, which is based on the Semi-Implicit Method Pressure Linked Equations(SIMPLE) algorithm. The developed code was applied to water jet design to determine the nozzle size, and investigated the effect of the change of nozzle location. Calculated results showed that the flow pattern is not changed as the change of nozzle location.

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Boundary Integral Equation Analysis of Axisymmetric Linear Elastic Problems (境界積分法에 의한 軸對稱 彈性 問題의 解析)

  • 공창덕;김진우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.787-797
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    • 1986
  • An implicit approach is employed to obtain a general boundary integral formulation of axisymmetric elastic problems in terms of a pair of singular integral equations. The corresponding kernel functions from the solutions of Navier's equation are derived by applying a three dimensional integral and a direct axisymmetrical approach. A numerical discretization schem including the evaluation of Cauchy principal values of the singular integral is described. Finally the typical axisymmetric elastic models are analyzed, i.e. the hollow sphere, the constant thickness and the V-notched round bar.

PSR-Based Microstructural Modeling for Turbulent Combustion Processes and Pollutant Formation in Double Swirler Combustors

  • Kim, Yong-Mo;Kim, Seong-Ku;Kang, Sung-Mo;Sohn, Jeong-Lak
    • Journal of Mechanical Science and Technology
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    • v.15 no.1
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    • pp.88-97
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    • 2001
  • The present study numerically investigates the fuel-air mixing characteristics, flame structure, and pollutant emission inside a double-swirler combustor. A PSR(Perfectly Stirred Reactor) based microstructural model is employed to account for the effects of finite rate chemistry on the flame structure and NO formation. The turbulent combustion model is extended to nonadiabatic flame condition with radiation by introducing an enthalpy variable, and the radiative heat loss is calculated by a local, geometry-independent model. The effects of turbulent fluctuation are taken into account by the joint assumed PDFs. Numerical model is based on the non-orthogonal body-fitted coordinate system and the pressure/velocity coupling is handled by PISO algorithm in context with the finite volume formulation. The present PSR-based turbulent combustion model has been applied to analyze the highly intense turbulent nonpremixed flame field in the double swirler combustor. The detailed discussions were made for the flow structure, combustion effects on flow structure, flame structure, and emission characteristics in the highly intense turbulent swirling flame of the double swirler burner.

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Optimization of Muffin preparation upon Addition of Jerusalem Artichoke Powder and Oligosaccharide by Response Surface Methodology (돼지감자 분말과 올리고당을 첨가한 머핀 제조의 최적화)

  • Park, Geum-Soon
    • Journal of the Korean Society of Food Culture
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    • v.29 no.1
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    • pp.101-110
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    • 2014
  • This study was performed to determine the optimal composition of a muffin added with jerusalem artichoke powder and oligosaccharide. The experiment was designed based on CCD (central composite design), and evaluation was carried out by means of RSM (response surface methodology), which included 10 experimental points with three replicates each for the two independent variables jerusalem artichoke powder and oligosaccharide. The experimental muffin was prepared according to a traditional recipe, except that the flour was partially replaced by jerusalem artichoke powder (5, 15, or 25%) and the sugar was partially replaced by oligosaccharide (25, 50, or 75%). Using F-test, height, moisture, a-value, b-value, springiness, cohesiveness, texture, and overall acceptability were expressed as a linear model, whereas volume, pH, L-value, appearance, flavor and taste were expressed as a quadratic model. Increased amounts of jerusalem artichoke powder led to reduction of sensory scores for appearance, flavor, taste, texture, and overall quality. The optimum formulation determined by the numerical and graphical methods were similar: jerusalem artichoke powder 10.99%, oligosaccharide 71.40%.