• Title/Summary/Keyword: 불연속 해석법

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Rock Slope Stability Analysis in Boeun Region Considering Properties of Discontinuities (불연속면의 특성은 고려한 보은지역 암반사면 안정성해석)

  • 이지수;박혁진;민경덕;구호본
    • Economic and Environmental Geology
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    • v.34 no.6
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    • pp.601-615
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    • 2001
  • The study area. Boeun-eup Boeun-kun, belongs to Ogchon metamorphic belt which is highly metamorphosed and consisted of complex geologic formations. Even though the geological structures and formations are complex and metamorphosed, the geological investigation and consideration are not enough and consequently the plane failure is occurred in the rock slope which was under construction on 1 : 0.5 gradient. This area is assessed as unstable and additional failure is possible by the discontinuity with same direction of failure surface. Therefore, the authors evaluate the slope stability using various analysis methods such as SMR, stereographic projection method, and the limit equilibrium analysis. In order to analyze stress redistribution and nonlinear displacement behavior caused by stress release, the authors conduct numerical analysis with UDEC and then the behavior of rock mass is analyzed after reinforcements are applied.

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Efficient Analysis of Discontinuous Elements Using a Modified Selective Enrichment Technique (수정된 선택적 확장 기법을 이용한 불연속 요소의 효율적 해석)

  • Lee, Semin;Kang, Taehun;Chung, Hayoung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.35 no.5
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    • pp.267-275
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    • 2022
  • Using a nonconforming mesh in enrichment methods results in several numerical issues induced by discontinuities and singularities found within the solution spaces, including the computational overhead during integration. In this study, we present a novel enrichment technique based on the selective expansion technique of moment fitting (Düster and Allix, 2020). In particular, two modifications are proposed to address the inefficiency during the integration process. First, a feedforward artificial neural network is introduced to correlate the implicit functions and integration moments. Through numerical examples, it is shown that the efficiency of the method is greatly improved when compared with existing expansion techniques, whereas the solution accuracy is maintained. Additionally, the finite element and domain representation grids are separated, which in turn improves the solution accuracy even for coarse mesh conditions.

Analysis of circular waveguide transformer using FDTD (원형 도파관 정합기의 FDTD에 의한 해석)

  • 이동국;홍재표
    • Journal of Korea Society of Industrial Information Systems
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    • v.8 no.1
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    • pp.9-17
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    • 2003
  • The finite-difference time-domain (FDTD) method is used to analyze circular waveguide transformer in order to match different two waveguides. 2-dimensional cylindrical FDTD algorithm is applied for rotationally symmetric. The transformer is inserted at a circular-to-circular waveguide junction and two type transformers are proposed. One is a partially dielectric filled circular waveguide type and the other is filled a tapered circular dielectric rod. The numerical results are derived for various structure parameters, such as transformer length. dielectric diameter and waveguide diameter.

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A Study n Real-time Searching Algorithms (실시간 시뮬레이션을 위한 최적 검색 기법 연구)

  • 윤석준
    • Proceedings of the Korea Society for Simulation Conference
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    • 1999.04a
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    • pp.204-211
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    • 1999
  • 항공기, 자동차, 전차 등 차량의 시스템 또는 운동의 시뮬레이션에서는 다양한 종류의 불연속적인 파라미터 값들이 데이터 테이블의 형태로 주어지게 되는데, 본 연구에서의 관심은 적분 스텝의 크기가 고정되는 일반적인 실시간 시뮬레이션의 제약 하에서 기존의 검색 기법들을 비교하고, 최적의 검색 기법을 개발하는 것이다. 본 연구에서는 전통적으로 수치해석, 시뮬레이션, 데이터베이스 등 다양한 학문 및 응용기술 분야에서 개발된 데이터 검색 기법들을 조사하여 비교하였다. 또한, 다양한 크기와 형태의 데이터 테이블들을 사용하여 수치비교시험을 수행하였는데, 그 경향은 이론에 근거한 예상과 대체로 일치하였다. 한편, 검색하고자 하는 파라미터 값이 임의의 dynamics를 갖고 변한다면, 이러한 정보를 이용하여 주어진 데이터 테이블 내의 검색 영역을 축소 시켜 검색속도를 향상시킬 수가 있다. 다양한 수치시험에서 이분 검색법(bisection method)은 축소된 테이블의 크기에만 영향을 받지만 보간 검색법(interpolation method)과 그 변형 기법들은 검색 대상 테이블들의 축소로 데이터의 형태가 직선형이 되는 효과를 얻기 때문에 검색속도를 단축시키는데 매우 탁월한 효과를 나타내었다. 결론적으로 dynamic-window 개념을 도입한 보간 검색법과 그 변형들이 이론적으로도 실험적으로도 최적의 검색속도를 보장함이 입증되었다.

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Sensitivity Analysis of Power System Including Series FACTS Device Based on RCF Method (직렬형 FACTS 설비를 포함하는 전력시스템의 RCF 해석법에 기초한 감도해석)

  • Kim, Deok-Young
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.3
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    • pp.624-631
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    • 2011
  • In this paper, the RCF method is used in sensitivity analysis problems of the discrete power systems including both series FACTS equipments such as TCSC in transmission lines and generator controllers such as Exciter and PSS in generator terminal. To apply the RCF method in small signal stability problems of discrete power systems, state transition equations of controllers and TCSC are derived and the sensitivity calculation algorithm using state transition equations in discrete time domain is devised. The results of eigenvalue analysis showed that the variations of eigenvalues after periodic switching operations of TCSC can be calculated exactly by the RCF method and the change of firing angles in TCSC have important effect to determine the stability of power systems.

Isogeometric Topological Shape Optimization of Structures using Heaviside Enrichment (헤비사이드 강화를 이용한 구조물의 아이소-지오메트릭 위상 최적설계)

  • Ahn, Seung-Ho;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.26 no.1
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    • pp.79-87
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    • 2013
  • An isogeometric topological shape optimization method is developed using the level sets and Heaviside enrichments. In the level set method, the initial domain is kept fixed and its boundary is represented by an implicit moving boundary embedded in the level set functions, which facilitates to handle complicated topological shape changes. The Heaviside enrichment improves the isogeometric analysis by adding some enrichment functions to model the internal boundaries. The proposed topological shape optimization method has several benefits: exact geometric models can be obtained using the isogeometric approach and the limitation of tensor-product patches can be overcome using the Heaviside enrichments to represent the internal voids. Even in a single patch, discontinuous displacement fields as well as smooth stress field can be obtained. Since the level sets offer the implicit moving boundary inside the domain, it is easy to represent the topological shape variations in the isogeometric analysis using Heaviside enrichments.

Analysis of Interface Problem using the MLS Difference Method with Interface Condition Embedment (계면경계조건이 매입된 이동최소제곱 차분법을 이용한 계면경계문제 해석)

  • Yoon, Young-Cheol
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.32 no.4
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    • pp.215-222
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    • 2019
  • The heat conduction problem with discontinuous material coefficients generally consists of the conservative equation, boundary condition, and interface condition, which should be additionally satisfied in the solution procedure. This feature often makes the development of new numerical schemes difficult as it induces a layered singularity in the solution fields; thus, a special approximation is required to capture the singular behavior. In addition to the approximation, the construction of a total system of equations is challenging. In this study, a wedge function is devised for enriching the approximation, and the interface condition itself is embedded in the moving least squares(MLS) derivative approximation to consistently satisfy the interface condition. The heat conduction problem is then discretized in a strong form using the developed derivative approximation, which is named as the interface immersed MLS difference method. This method is able to efficiently provide a numerical solution for such interface problems avoiding both numerical quadrature as well as extra difference equations related to the interface condition enforcement. Numerical experiments proved that the developed numerical method was highly accurate and computationally efficient at solving the heat conduction problem with interfacial jump as well as the problem with a geometrically induced interfacial singularity.

A New Numerical Method for Solving Differential Equation by Quadratic Approximation (포물선 근사법에 의한 상태방정식의 새로운 수치해석적 접근법에 관한 연구)

  • Lee, Jong-Gi;Kwon, Yong-Jun;Choi, Byoung-Kon;Moon, Young-Hyun
    • Proceedings of the KIEE Conference
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    • 2003.07a
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    • pp.107-109
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    • 2003
  • 전력계통의 과도 안정도 해석의 접근방법에는 SI(Simultaneous Implicit)법과 PE(Partitioned Explicit)법 두 가지방법을 사용해오고 있다. SI법에는 Trapezoidal법 등이 있고, PE법에는 Runge-Kutta법, Euler법등이 사용되고 있다. SI법인 Trapezoidal법은 PE법의 Runge-Kutta법 또는 Euler법에 비해 시간간격을 크게 해서 계산속도를 줄일 수 있다는 장점이 있지만, 정화도면에서는 신뢰한 수 없는 단점이 있다. 이 논문에서는 포물선 사법을 이용하여 Trapezoidal법의 정확도를 개선학 수 있는 방법을 제시하고 명확한 수학적 증명을 통해 타당성을 보여준다. 연속함수와 불연속함수에 대해서 Runge-Kutta법과 Trapezoidal법과 제안한 방법을 적용시켜서 제안한 방법의 정화함을 보여준다.

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A Study for Analysis on Deformation of Rubble Mound Structure Using VOF and DEM Methods (VOF법과 DEM에 의한 사석구조물 변형예측모델과 그 적용성에 관한 연구)

  • Kim, Mi-Kum;Kim, Chang-Je
    • Journal of Navigation and Port Research
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    • v.34 no.6
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    • pp.435-440
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    • 2010
  • A numerical model, which can compute deformation of rubble mound structures composed with various size materials, was proposed. In the numerical model, wave field into the mound structures was computed by CADMAS-SURF and the deformations of mound structures were computed by DEM. Interaction between wave field and sectional deformation of structure was considered and to present the variation of behaviors caused by various properties of materials, computation was carried out with random coefficients by Monte Carlo simulation method for contact stiffness and friction angle. The experiments were carried out with rubbles and glass balls with radius of 2.9cm, 2.6cm and 1.5cm. And the deformation characteristics of rubble mounds composed with various size materials were clarified. Furthermore the validity and the applicability of the model were discussed by comparing with the experimental results.

Fundamental Natural Frequency Analysis of Stepped Cantilever Beams by Equivalent Beam Transformation Technique (계단형 외팔보의 등가보 변환에 의한 기본고유진동수 해석)

  • Moon, Sang-Pil;Hong, Soon-Jo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.4
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    • pp.401-410
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    • 2008
  • The natural frequency of a beam plays an important role in not only vibration analysis but also understanding its dynamic characteristics. It is complicated to analyse the natural frequency of a stepped beam with discontinuously varying section. Approximate analysis methods such as Rayleigh-Ritz method, FEM, etc. are frequently used for the vibration analysis of stepped beams. In such a case, accuracy of these methods depends upon the number of partitioned elements, the number of the iterations in calculation and the assumed mode shape. This study presents an approximate analysis method for the fundamental natural frequency analysis of stepped cantilever beam, using equivalent beam transformation technique. Validity and usefulness are verified by comparing the proposed method with FEM for several example problems.