• Title/Summary/Keyword: 근사해석법

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Iterative Series Methods in 3-D EM Modeling (급수 전개법에 의한 3차원 전자탐사 모델링)

  • Cho In-Ky;Yong Hwan-Ho;Ahn Hee-Yoon
    • Geophysics and Geophysical Exploration
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    • v.4 no.3
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    • pp.70-79
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    • 2001
  • The integral equation method is a powerful tool for numerical electromagnetic modeling. But the difficulty of this technique is the size of the linear equations, which demands excessive memory and calculation time to invert. This limitation of the integral equation method becomes critical in inverse problem. The conventional Born approximation, where the electric field in the anomalous body is approximated by the background field, is very rapid and easy to compute. However, the technique is inaccurate when the conductivity contrast between the body and the background medium is large. Quasi-linear, quasi-analytical and extended Born approximations are novel approaches to 3-D EM modeling based on the linearization of the integral equations for scattered EM field. These approximation methods are much less time consuming than full integral equation method and more accurate than conventional Born approximation. They we, however, still approximate methods for 3-D EM modeling. Iterative series methods such as modified Born, quasi-linear and quasi-analytical can be used to increase the accuracy of various approximation methods. Comparisons of numerical performance against a full integral equation and various approximation codes show that the iterative series methods are very accurate and almost always converge. Furthermore, they are very fast and easy to implement on a computer. In this study, extended Born series method is developed and it shows more accurate result than that of other series methods. Therefore, Iterative series methods, including extended Born series, open principally new possibilities for fast and accurate 3-D EM modeling and inversion.

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Approximate Analysis of Elastic Story Drift of Steel MRFs including Effects of Panel Zone Flexibility (패널존 변형을 포함한 철골모멘트골조의 탄성층간변위 근사해석)

  • Lee, Cheol Ho
    • Journal of Korean Society of Steel Construction
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    • v.8 no.4 s.29
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    • pp.105-113
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    • 1996
  • 본 연구에서는 철골모멘트골조의 패널존변형을 명시적으로 고려한 탄성층 간변위의 근사해석 방법을 제안하였다. 본 방법은 고전적 포탈법의 가정 및 D 치법에 기반한 해석적 접근법이다. 즉 포탈법의 가정에 따라 횡력을 받는 골조를 보-기둥 부분 골조로 분해한 후 대표적 내부 부분골조의 보, 기둥 및 패널존에서 기인하는 모든 횡변위 성분을 해석적으로 계산한다. 이때에 필요한 모든 내력(가령 패널존 전단변형 산정을 위한 보의 불균형모멘트)의 결정에 D 치법을 이용한다. 구조바닥의 강막작용을 고려하면 위의 과정을 통하여 산출된 대표적 내부 부분골조의 횡변위는 전체 골조의 횡변위와 거의 동일할 것으로 기대할 수 있다. 본 방법의 타당성 여부는 반강절 접합요소를 사용한 해석적 엄밀해와 비교하여 검증하였으며 만족스런 결과를 주는 것을 확인하였다. 본 연구의 방법에 의해 컴퓨터해석에 의하지 않고도 철골모멘트골조의 탄성층간변위를 실용성있는 정확도로서 신속하게 산정할 수 있으므로 본 연구의 결과는 예비적 횡강성 평가에 유용하게 사용될 수 있다. 또한 본 방법의 적용과정에서 해석자는 철골모멘트골조의 횡변위 기동에 관한 물리적 감각을 증진시킬 수 있을 것으로 사료된다.

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Design Optimization of a RC Building Structure for Minimizing Material Cost (재료비 최소화를 위한 RC 빌딩 구조물의 최적설계)

  • Ahn, Hee-Jae;Park, Chang-Hyun;Choi, Dong-Hoon;Jung, Cheul-Kyu
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.568-573
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    • 2010
  • 본 논문에서는 압축하중 및 풍하중, 지진하중을 받는 RC (Reinforced Concrete) 빌딩 시공에 필요한 부재의 재료비를 최소화하기 위해 부재의 부피를 최소화하는 최적설계를 수행한다. 최적설계 수행을 위해 상용 PIDO (Process Integration and Design Optimization) 툴인 PIAnO (Process Integration, Automation and Optimization)에서 제공하는 다양한 설계기법들을 이용한다. 먼저 실험계획법을 사용하여 실험계획을 세우고, 실험점에 따라 범용 구조해석 프로그램인 MIDAS Gen을 사용하여 구조해석을 수행한다. 그리고 해석결과를 바탕으로 각 응답에 대한 근사모델을 생성한 후 근사모델과 최적화기법을 이용하여 최적설계를 수행하고, 제한조건을 만족하면서 부재의 부피를 최소화함으로써 제안된 설계방법의 유효성을 보인다.

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An Improved Mesh-free Crack Analysis Technique Using a Singular Basis Function (특이기저함수를 이용하여 개선한 Mesh-free 균열해석기법)

  • 이상호;윤영철
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.3
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    • pp.381-390
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    • 2001
  • In this paper, a new improved crack analysis technique by Element-Free Galerkin(EFG) method is proposed, in which the singularity and the discontinuity of the crack successfully described by adding enrichment terms containing a singular basis function to the standard EFG approximation and a discontinuity function implemented in constructing the shape function across the crack surface. The standard EFG method requires considerable addition of nodes or modification of the model. In addition, the proposed method significantly decreases the size of system of equation compared to the previous enriched EFG method by using localized enrichment region near the crack tip. Numerical example show the improvement and th effectiveness of the previous method.

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Optimal Shape Design of Excavator Boom Using the Semi-Analytical Method (민감도 근사해석법을 이용한 굴삭기 붐의 최적형상설계)

  • Lim, O-Kaung;Cho, Heon
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.1
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    • pp.301-309
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    • 1995
  • Shape optimal design of an excavator boom to minimize weight can be formulated as a nonlinear programming problem with an automesh refinement carried out by using the finite element method. The design variables are the radii and the coordinates of the circle to describe the excavator boundary shape. In addition to the displacement and stress constraints, geometric constraints are imposed such that the nodes cannot cross the certain range. The optimum design is obtained by using the PLBA nonlinear programming code. The sensitivity derivatives are calculated using the semi-analytical scheme. Numerical results of an excavator boom show potential for weight reduction of 4.4%(65.6 kgf) when considering the displacement, stress and geometric constraints.

A FDTD Analysis for the Slanted Metallic Boundaries (기울어진 금속 경계면에 대한 FDTD 해석)

  • 이윤경;윤현보
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.12 no.2
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    • pp.278-284
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    • 2001
  • In this paper, the slanted metallic boundaries is analyzed for the triangular cell grid method and compared with staircase approximation. Specially, this paper is derived an error range to the angle of inclination between the metal and the dielectric from the triangular cell grid method. That result, when the angle of inclination is from 30˚ to 60˚, the triangular cell grid method improves the accuracy, the computer memory and time requirement in comparison with the staircase approximation. But, out of this range, we do not expect the accuracy because a side of cell size lengthen.

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Approximate Analysis of Shear Wall-Frame Structure For Seismic Design (전단벽-골조 시스템의 내진설계를 위한 근사해석법)

  • Yoo, Suk-Hyung
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.23 no.2
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    • pp.99-106
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    • 2019
  • A wall-frame structure resists horizontal load by the interaction between the flexural mode of the shear wall and the shear mode of the frame, which implies that the frame deflects only by reverse bending of the columns and girders, and that the columns are axially rigid. However, as the height of frame increases the shear mode of frame changes to flexural mode, which is due to the extension and shortening of the columns. An approximate hand method for estimating horizontal deflection and member forces in high-rise shear wall-frame structures subjected to horizontal loading is presented. The method is developed from the continuous medium theory for coupled walls and expressed in non-dimensional structural parameters. It accounts for bending deformations in all individual members as well as axial deformations in the columns. The deformations calculated from the presented approximate method and matrix analysis by computer program are compared. The presented approximate method is more accurate for the taller structures.

Assessment of Ultimate Bearing Capacity for an Embedded Wall by Closed-Form Analytical Solution (근사적인 해석법에 의한 근입된 벽체의 극한지지력 평가)

  • Lee, Yong-Joo
    • Journal of the Korean Geotechnical Society
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    • v.22 no.9
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    • pp.23-36
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    • 2006
  • This study presents the development of a new closed-form analytical solution for the ultimate bearing capacity of an embedded wall in a granular mass. The closed-form analytical solution consists of upper and lower bound solutions (UB and LB). The calculated values from these bound solutions were compared with the author's two-dimensional laboratory wall model loading test and finite element analysis in the plastic region. The comparison showed that ultimate bearing loads from both the model test and finite element analysis are located between UB and LB. In particular, the ultimate bearing load from LB showed good agreement with the ultimate bearing load values from both the model test and finite element analysis. However, the calculated value from the conventional empirical form subjected to plane-strain conditions was shown to be much smaller than the LB.

A Study on the Sequential Design Domain for the Approximate Optimum Design (근사 최적설계를 위한 순차 설계영역에 관한 연구)

  • 김정진;이진식;임오강
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.3
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    • pp.339-348
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    • 2001
  • More often a commercial package for the structural analysis is necessary in the structural optimum design. In this case the task of combining the package with an optimization program must be required, hut it is not so simple because interchanging some data between them is difficult. Sequential approximate optimization is currently used as a natural way to overcome the hard task. If sequential approximate optimization has wide side constraints that the lower limit of design variables is very small and their upper limit is very large, it is not so easy to obtain approximated functions accurately for the whole design domain. This paper proposes a sequential design domain method, which is very useful to carry out sequential approximate optimization in this case. In this paper, the response surface methodology is used to obtain approximated functions and the orthogonal array is used for design of experiments. The sequential approximate optimization of 3-bar and 10-bar trusses is demonstrated to verify the reliability of the sequential design domain method.

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On the Improvement of the Accuracy of Higher Order Derivatives in the MLS(Moving Least Square) Difference Method via Mixed Formulation (MLS 차분법의 결정 변수에 따른 정확도 분석 및 혼합변분이론을 통한 미분근사 성능향상)

  • Kim, Hyun-Young;Kim, Jun-Sik
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.33 no.5
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    • pp.279-286
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    • 2020
  • In this study, we investigate the accuracy of higher order derivatives in the moving least square (MLS) difference method. An interpolation function is constructed by employing a Taylor series expansion via MLS approximation. The function is then applied to the mixed variational theorem in which the displacement and stress resultants are treated as independent variables. The higher order derivatives are evaluated by solving simply supported beams and cantilevers. The results are compared with the analytical solutions in terms of the order of polynomials, support size of the weighting function, and number of nodes. The accuracy of the higher order derivatives improves with the employment of the mean value theorem, especially for very high-order derivatives (e.g., above fourth-order derivatives), which are important in a classical asymptotic analysis.