• Title/Summary/Keyword: 수치안정성 해석

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Confirmation of Numerical Properties of ASQUICK Scheme through Numerical Simulation of Recirculating Turbulent Flow over a Sharp Rib Mounted on a Plane Surface (평면상 날카로운 돌출부 위를 흐르는 난류 재순환 유동해석을 통한 ASQUICK차분법의 수치적 성질확인)

  • 김성준
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.6
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    • pp.1250-1256
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    • 1989
  • 본 연구에서는 수치계산의 불안정성 때문에 과거 고차 정확도 유한차분법 들로 수치계산하기 어려웠던 날카로운 돌출부 위를 흐르는 난류유동현상을 ASQUICK 차분법으로 수치해석하고 그 수렴해를 얻음으로써 수치계산의 안정성을 확인하며 수치계산 결과를 HYBRID차분법에 의한 수치해석치 및 재순환난류유동의 특성치라 할 수 있는 재순환영역길이 실험치와 상호비교함으로써 수치계산의 정확도 향상효과를 확인하고자 한다. 더불어 수치계산의 수렴과정에 큰 영향을 미치는 것으로 잘 알려 져 있는 속도 압력교정법으로써의 PISO법을 ASQUICK차분법과 함께 사용해 PISO-ASQU- ICK조합의 유용성을 확인하고자 한다.

An Improved Finite Element for Structural Analysis of Cable-Supported Structures (케이블 지지구조물의 구조해석을 위한 개선된 유한요소)

  • 김선훈;최창근;송명관
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.2
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    • pp.117-125
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    • 2001
  • 본 논문에서는 케이블 지지구조물의 비선형 정적해석과 동적해석에 사용할 수 있는 개선된 유한요소가 제시되었다. 케이블의 모델화를 위해 등가탄성계수를 사용하고 처짐곡선을 현수선함수로 가정한 케이블요소가 제안되었다. 프레임 부재에 사용되는 안정함수는 수치적으로 안정한 해를 얻기 위하여 수정되었다. 본 논문에서 제안한 요소의 유용성과 효율성을 검토하기 위하여 다양한 검증문제에 대한 수치해석이 수행되었다. 해석결과 본 논문에서 제시한 유한요소는 케이블 지지구조물의 모델화에 매우 유용하고 효율적으로 사용될 수 있을 것으로 판단된다.

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Three-dimensional Stability Analysis of A Large Underground Hall in Mined Area (채굴적 주변 대형 지하광장의 3차원 안정성해석)

  • 송원경;한공창
    • Proceedings of the Korean Society for Rock Mechanics Conference
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    • 2000.09a
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    • pp.195-200
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    • 2000
  • Numerical analysis using FLACSD has been conducted to estimate the stability of a large underground hall that is to be excavated in a mined area and constructed as an unit of a resort park. Numerical modelling is divided into two stages. The first stage is related to the analysis of the mechanical stability of the hall itself and the second to that of the influence of an adjacent mined cavity upon the hall. In the first stage, the stability of the hall is judged from the interpretation of numerical results in three respects: convergence of the unbalanced force of the model, occurrence of plastic zones and distribution of the displacement. In the second stage, variation of the stress state around the underground hall due to the existence of the cavity is compared to that in the case of the absence of the cavity. Through these analyses, it could be known that the large underground hall is not exposed to any mechanical problems and also not affected by the adjacent cavity. Key words : 3D numerical analysis, large underground cavern, stability analysis

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Three-dimensional Stability Analysis of A Large Underground Hall in Mined Area (채굴적 주변 대형 지하광장의 3차원 안정성해석)

  • 송원경;한공창
    • Tunnel and Underground Space
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    • v.10 no.3
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    • pp.441-446
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    • 2000
  • Numerical analysis using FLAC3D has been conducted to estimate the stability of a large underground hall that is to be excavated in a mined area and constructed as an unit of a resort park. Numerical modelling is divided into two stages. The first stage is related to the analysis of the mechanical stability of the hall itself and the second to that of the influence of an adjacent mined cavity upon the hall. In the first stage, the stability of the hall is judged from the interpretation of numerical results in three respects: convergence of the unbalanced force of the model, occurrence of plastic zones and distribution of the displacement. In the second stage, variation of the stress state around the underground hall due to the existence of the cavity is compared to that in the case of the absence of the cavity. Through these analyses, it could be known that the large underground hall is not exposed to any mechanical problems and also not affected by the adjacent cavity.

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Accurate and Robust Computations of Gas-Liquid Two-Phase Flows Part 1: Development of Shock-Stable Two-Phase Schemes (액체-기체 2상 유동장의 정확하고 강건한 해석 Part 1: 충격파 안정적인 2상 유동 수치기법의 개발)

  • Ihm, Seung-Won;Kim, Chong-Am
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.1
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    • pp.1-16
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    • 2009
  • In this paper, we introduce two-phase versions of RoeM and AUSMPW+ schemes. Both schemes are originally developed for the gas dynamic problems, and have shown superior accuracy, efficiency and robustness. A new shock discontinuity sensing term is derived from the mixture equation of state, which is commonly used in the RoeM and AUSMPW+ schemes for the stable numerical flux calculation. The developed two-phase versions of the schemes are applied to several liquid-gas, large property discrepancy two-phase test problems, including several shock stability test problems. The results show that both schemes maintain the merits exhibited in gas dynamic problems even in two-phase flows.

Full Surface-Ship Shock Modeling and Simulation (수상함 내충격 수치해석기술)

  • Lee, M.H.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1169-1173
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    • 2000
  • 최근에 미국에서는 실선에 대한 충격파 실험의 제약으로 인하여 수치시뮬레이션의 필요성이 더욱 야기되어 1996년도부터 수상함에 대한 실험대체용 수치계산의 가능성에 대한 연구가 시작되었다. 잠수함등과 같이 잠겨진 구조물에 대한 연구는 활발히 이루어졌으나 수상함에 대한 연구는 단순구조물을 대상으로 한 제한적 연구가 이루어져 왔다. 특히 본 연구에서는 아주 복잡한 수상함 구조물을 최대한 정확히 유한요소법으로 모델링하였다. 이러한 실선 충격연구는 실제 실선에 마운트되는 주요 장비의 안정성평가에 아주 중요한 자료를 제공하여주므로 시급한 과제이다. 하지만 수상함의 경우 유체-구조물 상호작용, 자유표면, cavitation등과 같은 해석상의 어려움과 복잡한 구조물의 모델링시 나타나는 현 단계에서의 계산상의 한계 등등 여러 가지 난제가 존재하고 있는 것도 사실이다. 본 논문에서는 수상함 내충격 수치해석의 현기술을 알아보고 수치계산의 발전방향을 제시보고자 한다.

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Numerical Analysis on the Influence Factors of Cavity Occurrence in the Stability of the Underground with Cavity (도로 하부지반에서 발생된 공동이 지반 안정성에 미치는 영향에 관한 수치해석)

  • Nam, Jun-Hee;Kim, Jong-Chul;Lee, Kang-Il
    • Journal of the Korean Geosynthetics Society
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    • v.21 no.1
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    • pp.49-56
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    • 2022
  • In this study, finite element numerical analysis was performed considering various influence factors(cavity shape and size, pavement thickness and size of traffic load) in order to analyze the impact factors in the underground of the road where the cavity occurred and to evaluate the stability of the ground. In order to verify the reliability of the numerical analysis method applied in this study and the results it was compared and analyzed with the results of previous studies and field measurements. The correlation between the influence factors was analyzed through the distribution of vertical displacement obtained from the numerical analysis results, the distribution of surface settlement and surface settlement, the distribution of the stress ratio, and the distribution of the safety factor. As a result, it was confirmed that as the size of the cavity and traffic load increased and the thickness of the pavement decreased, the vertical displacement and surface settlement at the top of the cavity increased. Also, the shape of the cavity was square, the stability of the ground was significantly reduced compared to the case of a circular cavity. Through these results, it was possible to confirm the overall stability of the lower ground of the road where the cavity was generated.

Robust Stability Analysis and Design of Fuzzy Model Based Feedback Linearization Control Systems (퍼지 모델 기반 피드백 선형화 제어 시스템의 강인 안정성 해석과 설계)

  • 박창우;이종배;김영욱;성하경
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.41 no.3
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    • pp.79-90
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    • 2004
  • Systematical robust stability analysis and design scheme for the feedback linearization control systems via fuzzy modeling are proposed. It is considered that uncertainty and disturbances are included in the Takagi-Sugeno fuzzy models representing the nonlinear plants. Robust stability of the closed system is analyzed by casting the systems into the diagonal norm bounded linear differential inclusions and by converting the analysis and design problems into the linear matrix inequality optimization, a numerical method for finding the maximum stable ranges of the fuzzy feedback linearization control gains is also proposed. To verify the effectiveness of the proposed scheme, the robust stability analysis and control design examples are given.

A Case Study on the NATM Tunnel Excavation under the Soft Soil Ground Condition by Back Analysis Method (역해석 기법에 의한 연약지반 NATM터널 굴착사례 연구)

  • JO, Hyun;PARK, Jong-In;LEE, Ki-Hwan
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.2 no.3
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    • pp.71-81
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    • 2000
  • For the construction of NATM tunnel, it is required a design based on the accurate soil condition from soil investigation. However, in practice, it often designs tunnels without fully understanding the condition. Especially, when soft soil comes up, or ground water breaks out suddenly on the construction, it needs to secure the stability of tunnel by appropriate reinforcing construction according to the results of measurements on field superlatively reflecting the faced situation. This report reviews the mostsuitable stability of tunnel in the construction of soft soil of tunnel by numerical analysis using FDM after re-evaluated the soil properties through back analysis using the results of measurements to simulate abruptly occurred deformation. And applying steel pipe grouting row by row on the wall and the low part of tunnel and also applying the construction method of temporary invert after excavation of the upper part of tunnel, the excavation of soft soil tunnel secured the structural stability of tunnel has been completed.

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Numerical Study on the Stability Analyses of Rock Slopes considering Non-linear Characteristics of Hoek-Brown Failure Criterion (Hoek-Brown 파괴기준의 비선형성을 고려한 암반사면 안정성 평가의 수치해석적 연구)

  • Chun, Byung-Sik;Lee, Jin-Moo;Choi, Hyun-Seok;Seo, Deok-Dong
    • Journal of the Korean GEO-environmental Society
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    • v.4 no.2
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    • pp.77-91
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    • 2003
  • The Hoek-Brown failure criterion for rock masses developed first in 1980 is widely accepted and has been applied in a variety of rock engineering problems including slope analyses. The failure criterion was modified over the years because rock mass strength by the original failure criterion in 1980 was overestimated. The modified failure criterion, named Generalized Hoek-Brown Failure Criterion, was proposed with a new classification called the Geological Strength Index(GSI) in 1994. Generally, Hoek-Brown failure criterion is applied in numerical analyses of rock mass behaviors using equivalent Mohr-Coulomb parameters estimated by linear regression method. But these parameters estimated by this method have some inaccuracies to be applied and to be incorporated into numerical models and limit equilibrium programs. The most important issue is that this method cannot take account of non-linear characteristics of Hoek-Brown criterion, therefore, equivalent Mohr-Coulomb parameters is used as constant values regardless of field stress distribution in rock masses. In this study, the numerical analysis on rock slope stability considering non-linear characteristics of Hoek-Brown failure criterion was carried out. Futhermore, by the latest Hoek-Brown failure criterion in 2002, the revised estimating method of equivalent Mohr-Coulomb parameters was applied and rock mass damage criterion is introduced to account for the strength reduction due to stress relaxation and blast damge in slope stability.

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