• Title/Summary/Keyword: lagrangian analysis

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Geometrically Nonlinear Analysis of Hinged Cylindrical Laminated Composite Shells (활절로 지지된 원통형 적층복합쉘의 기하학적 비선형 해석)

  • Han, Sung-Cheon
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.3 no.2
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    • pp.1-10
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    • 2012
  • In the present study, an Element-Based Lagrangian Formulation for the nonlinear analysis of shell structures is presented. The strains, stresses and constitutive equations based on the natural co-ordinate have been used throughout the Element-Based Lagrangian Formulation of the present shell element which offers an advantage of easy implementation compared with the traditional Lagrangian Formulation. The Element-Based Lagrangian Formulation of a 9-node resultant-stress shell element is presented for the anisotropic composite material. The element is free of both membrane and shear locking behavior by using the assumed natural strain method such that the element performs very well in thin shell problems. The arc-length control method is used to trace complex equilibrium paths in thin shell applications. Numerical examples for laminated composite curved shells presented herein clearly show the validity of the present approach and the accuracy of the developed shell element.

Prediction of Pollutant Transport using by Eulerian-lagrangian (Eulerian-Lagrangian Analysis(ELA) 모형을 이용한 오염물질이동 예측)

  • 최병옥;권순국
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.36 no.1
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    • pp.128-140
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    • 1994
  • Coastal areas, especially embayments are apt to be polluted easily and many embayments in Korea are already suffering from pollution problems. To manage such pollution, it is strongly needed to develop technique to trace movements of pollution. Such technique cove- ring the embayment affected by the tidal influence, should take account both of the convection and the diffusion motions which cause lots of problems in numerical calculation. In this study, a Eulerian-Lagrangian Analysis(ELA) model was applied to Young Il bay and tested for its applicablity, which was developed by using the Eulerian-Lagrangian Method that reduce the numerical disperison and oscillation by way of solving convection and diffusion terrns separately. Concentration of Chemical Oxygen Demand(COD) and Suspend Solid(SS) of the embay- ment area were estimated by the model and compared with the observed values and the sound results were obtained. At the same time the diffsion coefficient and decay coefficient for Chemical Oxygen Demand in the Young II Bay were found as Dx = Dy = 20m$^2$/sec, kd=2.5 ${\times}$ 10-5/sec respectively, and for Suspend Solid, Dx =Dy = 30m$^2$/sec, kd=5.0${\times}$ 10-5/sec

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A Three-Dimensional Rigid-Viscoplastic Finite Element Analysis of square die extrusion based on ALE description (강-점소성 ALE 유한요소 수식화에 근거한 3차원 평금형 형재 압출의 해석)

  • 강연식;양동열
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1995.10a
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    • pp.150-156
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    • 1995
  • In the finite element analysis of metal forming processes, the updated Lagrangian approach has been widely and effectively used to simulate the non-steady state problems. However some difficulties have arisen from abrupt flow change as in extrusion through square dies. In the present work, a ALE(arbitrary Lagrangian-Eulerian) finite element formulation for deformation analysis are presented for rigid viscoplastic materials. The developed finite element program is applied to the analysis of square die extrusion of a square section. The computational results are compared with those from the updated Lagrangian finite element analysis.

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FINITE ELEMENT ANALYSIS FOR A MIXED LAGRANGIAN FORMULATION OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

  • Kim, Hong-Chul
    • Journal of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.87-118
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    • 1997
  • This paper is concerned with a mixed Lagrangian formulation of the wiscous, stationary, incompressible Navier-Stokes equations $$ (1.1) -\nu\Delta u + (u \cdot \nabla)u + \nabla_p = f in \Omega $$ and $$ (1.2) \nubla \cdot u = 0 in \Omega $$ along with inhomogeneous Dirichlet boundary conditions on a portion of the boundary $$ (1.3) u = ^{0 on \Gamma_0 _{g on \Gamma_g, $$ where $\Omega$ is a bounded open domain in $R^d, d = 2 or 3$, or with a boundary $\Gamma = \partial\Omega$, which is composed of two disjoint parts $\Gamma_0$ and $\Gamma_g$.

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A Study on the technique of impact analysis against concrete target using Lagrangian and Smoothed Particle Hydrodynamics (라그란지안 기법과 입자완화동력학 기법을 이용한 콘크리트 표적 충돌해석 기법 연구)

  • 하동호
    • Journal of the Korea Institute of Military Science and Technology
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    • v.5 no.2
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    • pp.207-216
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    • 2002
  • In this paper, the study on the behavior of the deformation of brittle material, such as concrete, ceramic, was peformed by comparison of Lagrangian technique and Smoothed Particle Hydrodynamics using commercial nonlinear hydrodynamic numerical program, Autodyn_2D. The effect of SPH technique was proved by investigating the behavior of material deformation, velocity profile and pressure profile.

An Analysis of Cone Penetration Based on Arbitrary Larangian-Eulerian Method (Arbitrary Lagrangian-Eulerian 기법에 의거한 콘 관입 해석)

  • Oh, Se-Boong
    • Journal of the Korean Geotechnical Society
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    • v.17 no.6
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    • pp.85-98
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    • 2001
  • Cone penetration was analyzed by arbitrary Lagangian-Eulerian(ALE) method. In order to simulate full penetration, steady state analyses were performed using ABAQUS/Explicit, which models upward flow of soil layers. In the analysis of homogeneous layer it was found that the paths and the strain of soil particles were consistent with the result of the strain path method and that the ultimate resistance were reasonably evaluated. The cone penetration through different soil layers was also analyzed and that showed the transfer of cone resistance. The steady state ALE analysis could perform full penetration through the layered soils.

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Inelastic Nonlinear Analysis of Structures with Under -Tension System (언더텐션 시스템이 적용된 구조물의 비탄성 비선형 거동 해석)

  • Park, Duk-Kun;Lee, Jae-Hong
    • Journal of Korean Association for Spatial Structures
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    • v.9 no.2
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    • pp.91-97
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    • 2009
  • This study presents geometric nonlinear and material analysis of under-tension structure using Total Lagrangian and Updated Lagrangian method. In the regard, the under-tension system enables the load of upper part to carry to the end of beam by pre-tensional force in cable. The under-tension system on lower part of the structure is applied in order to reduce the deflection and size of member. This study is performed with conforming of the effect by pretension value in the cable and applying loading. Dead and Live loads are supposed to apply nodal on the top member. The member force and deflection of the structure are with MIDAS and ADINA.

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Characteristic Analysis of the Surface Concentration Distribution under the Influence of Particle Settling by Lagrangian Model (Lagrangian 모형에 의한 분진 침강 효과에 따른 지표면 농도의 분포특성 분석)

  • Park, I.S.;Kang, I.G.;Choi, K.D.
    • Journal of Environmental Impact Assessment
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    • v.2 no.1
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    • pp.57-63
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    • 1993
  • An analysis for particle settling effects via of plume centerline tilted exponentially under the influence of panicle settling velocity is carried out for particle of $30{\mu}m$ diameter with $1g/cm^3$ density and 0.02m/s settling velocity corresponding to its particle characteristic according to various wind speeds, atmospheric stabilities. Characteristic analysis of surface concentration distribution simulated by Lagrangian model also are carried out under the influence of plume centerline tilted exponentially at 10m stack height emitted 200 particles per second. This study reveals that plume centerline at the nearby source is sharply tilted exponentially under the condition of stable, weakly wind speed, therefore the lower concentration at the nearby source, the higher concentration at the downwind distance far away from source than actual one is brought out, if not apply the effect of plume centerline tilted exponentially to diffusion Model.

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Quantitative Analysis of Random Errors of the WRF-FLEXPART Model for Backward-in-time Simulation over the Seoul Metropolitan Area (수도권 영역의 시간 후방 모드 WRF-FLEXPART 모의를 위한 입자 수에 따른 무작위 오차의 정량 분석)

  • Woo, Ju-Wan;Lee, Jae-Hyeong;Lee, Sang-Hyun
    • Atmosphere
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    • v.29 no.5
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    • pp.551-566
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    • 2019
  • Quantitative understanding of a random error that is associated with Lagrangian particle dispersion modeling is a prerequisite for backward-in-time mode simulations. This study aims to quantify the random error of the WRF-FLEXPART model and suggest an optimum number of the Lagrangian particles for backward-in-time simulations over the Seoul metropolitan area. A series of backward-in-time simulations of the WRF-FLEXPART model has conducted at two receptor points by changing the number of Lagrangian particles and the relative error, as a quantitative indicator of random error, is analyzed to determine the optimum number of the release particles. The results show that in the Seoul metropolitan area a 1-day Lagrangian transport contributes 80~90% in residence time and ~100% in atmospheric enhancement of carbon monoxide. The relative errors in both the residence time and the atmospheric concentration enhancement are larger when the particles release in the daytime than in the nighttime, and in the inland area than in the coastal area. The sensitivity simulations reveal that the relative errors decrease with increasing the number of Lagrangian particles. The use of small number of Lagrangian particles caused significant random errors, which is attributed to the random number sampling process. For the particle number of 6000, the relative error in the atmospheric concentration enhancement is estimated as -6% ± 10% with reduction of computational time to 21% ± 7% on average. This study emphasizes the importance of quantitative analyses of the random errors in interpreting backward-in-time simulations of the WRF-FLEXPART model and in determining the number of Lagrangian particles as well.

A Study on the Excavation Damage Zone (EDZ) under TBM Advancement Based on Large Deformation Technique (Coupled Eulerian-Lagrangian) (대변형 해석기법(Coupled Eulerian-Lagrangian Technique)을 이용한 TBM 굴착손상영역 분석)

  • Lee, Seung-Yeon;Kim, Do-Hyun;Jeong, Sang-Seom
    • Journal of the Korean Geotechnical Society
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    • v.32 no.12
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    • pp.5-13
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    • 2016
  • In this study, Coupled Eulerian-Lagrangian (CEL) analysis, which is one of the large deformation analyses, was incorporated to investigate excavation damage zone (EDZ) under TBM advancement. Considering the quasi-static condition, the dynamic analysis was performed to simulate the real TBM advancement and subsequently a case study on mesh and TBM excavation rate was carried out for satisfying a balance of accuracy and economic computational time. Based on this, a series of parametric studies were performed for different rock types and tunnel diameters. From the numerical analysis results, it is found that EDZ was taken to range within 0.4D(D=tunnel diameter) for most rocks. It is also found that the EDZ tends to increase as the tunnel diameter increases.