• 제목/요약/키워드: Numerical inversion method

검색결과 148건 처리시간 0.028초

Investigation on the Analysis of Transmission Line with Frequency Dependent Lossy Term

  • Ichikawa, Satoshi
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 ITC-CSCC -1
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    • pp.650-653
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    • 2002
  • The increaseing speeds are accompanied by decreases in pulse rise and fall time in VLSI circuits. These accenturate the high frequency spectral contents of the signals and cause the frequency dependent loss of the conductors which interconnect the various sub-circuits composing of VLSI circuit. The lossy effect is approximated by the square root of frequency dependence of the per unit length resistance. In the practical applications, several problems may arise along with this approximation, so we extend our investigation of the lossy effect by numerical Laplace inversion method.

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모멘트방법을 이용한 새로운 역산란 계산방법, II : 잡음의 영향 (A New Inverse Scattering Scheme Using the Moment Method, II: Noise Effect)

  • 김세윤;윤태훈;라정웅
    • 대한전자공학회논문지
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    • 제25권3호
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    • pp.252-261
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    • 1988
  • Employed the new invese scattering scheme based on the moment mehtod, which was presented in the Part I of these companion papers, numerical simulations are performed to investigate the effect of measurement errors and noise contaminating the field scattered from dielectric objects. In order to reduce those effects on the reconstructed permittivity profiles, some techniques such as regularization, iterative matrix inversion, and multiple incidence are applied to this problem.

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Tail Probability Approximations for the Ratio of two Independent Sequences of Random Variables

  • Cho, Dae-Hyeon
    • Journal of the Korean Data and Information Science Society
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    • 제10권2호
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    • pp.415-428
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    • 1999
  • In this paper, we study the saddlepoint approximations for the ratio of two independent sequences of random variables. In Section 2, we review the saddlepoint approximation to the probability density function. In section 3, we derive an saddlepoint approximation formular for the tail probability by following Daniels'(1987) method. In Section 4, we represent a numerical example which shows that the errors are small even for small sample size.

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이방성을 고려한 탄성매질에서의 시간영역 파형역산 (Time-domain Seismic Waveform Inversion for Anisotropic media)

  • 이호용;민동주;권병두;유해수
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2008년도 공동학술대회
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    • pp.51-56
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    • 2008
  • 등방성 매질에서의 파형역산에 대한 연구는 1980년대부터 꾸준히 이루어져 왔으나 이방성 매질에 대한 연구는 그렇지 못하다. 본 연구에서는 이방성 매질에 대한 시간영역 셀기반 유한 차분 모델링 기법을 이용해 2차원 TI 구조에서의 파형역산 알고리듬을 개발하였다. 반복적인 비선형 역산에서 최대 급경사 방향은 역시간 구조보정의 역전파 방법을 이용하여 간접적으로 계산하였고, 이를 정규화 시키기 위해 슈도-헤시안 행렬을 이용하였다. 본 연구에서 제시된 시간영역 파형역산 기법을 이방성 매질을 포함한 2층 구조와 이방성 Marmousi 모형 자료에 적용하고 이를 등방성 매질만을 고려한 기존의 파형역산 결과와 비교하였다. 본 연구의 결과를 통해 이방성 매질을 등방성 매질로 가정하고 파형역산을 수행할 경우 정확한 영상을 얻을 수 없기 때문에, 실제 탐사 자료의 파형역산을 수행할 경우 이방성 매질을 고려해야 좀 더 정확한 지하 구조를 파악할 수 있음을 확인하였다.

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현장시험을 통해 지반의 비선형 전단탄성계수를 산정하기 위한 역해석방법의 개발 (Development of Inversion Analysis Framework to Determine Nonlinear Shear Moduli of Soils In Situ)

  • 안재훈
    • 한국방재학회 논문집
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    • 제8권3호
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    • pp.87-93
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    • 2008
  • 지반의 비선형 전단탄성계수를 결정하기 위한 현장시험에서는, 먼저 지반과 원형기초에 지오폰을 설치하고, 기초에 대형 진동발생장치를 이용하여 진동하중을 가한다. 이 때, 지오폰으로부터 지반과 기초의 거동을 측정하고, 본 거동을 분석하여 전단탄성 계수와 해당 전단변형률을 결정할 수 있다. 본 논문에서는 현장시험결과로부터 지반의 선형, 비선형 전단탄성계수를 결정하기위한 역해석 과정의 필요성과 그 개발에 초점을 맞추었다. 제안된 역해석 과정은 비선형 최소자승법을 근간으로 하며, 거동이 계측되지 않는 곳의 지반의 비선형성을 고려하기 위하여 이중 반복루프를 사용하였다. 역해석 과정의 적용성을 검토하기 위하여 일련의 수치해석을 수행하였으며, 또한 역해석 적용의 예제를 보였다. 제안된 방법은 현장지반의 전단탄성계수 분포의 변화가 극심하지 않은 경우에는 전반적으로 우수한 적용성을 보이지만, 해석대상 지반의 전단파속도 분포가 역해석의 정확성에 영향을 수 있으므로, 예비 역해석을 통해 산출될 오차를 정량화 하는 것이 필요하다.

유전 알고리즘을 활용한 완전파형역산 기법의 층상 반무한 지반 전단파 속도 추정 (Estimation of Shear-Wave Velocities of Layered Half-Space Using Full Waveform Inversion with Genetic Algorithm)

  • 이진호;이세혁
    • 한국전산구조공학회논문집
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    • 제34권4호
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    • pp.221-230
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    • 2021
  • 전역 최적화 문제의 해를 유전 알고리즘을 사용하여 얻어 완전파형역산을 수행하고 층상 반무한체의 물성치를 추정하는 기법을 제안한다. 조화 수직 하중이 작용하는 층상 반무한체의 동적 응답을 측정하고, 이를 추정 물성치를 사용하여 계산된 응답과 비교한다. 응답의 추정치는 mid-point integrated finite element와 perfectly matched discrete layer를 사용하여 구성된 thin-layer model로부터 얻는다. 전역 최적화 문제의 목적 함수는 응답의 관측치와 추정치의 차이에 대한 L2-norm으로 계산된다. 유전 알고리즘을 사용하여 전역 최적화 문제의 해를 구하여 완전파형역산을 수행한다. 제안된 기법을 기본 진동 모드 뿐만이 아니라 고차 진동 모드도 우세한 다양한 층상 반무한 매질에 적용하여, 측정치가 잡음을 포함하지 않는 경우와 포함하는 경우 모두에 대해서 제안된 완전파형역산 기법은 층상 반무한체의 재료 특성을 추정하는데 적합함을 확인할 수 있다.

The contact loads inversion between surrounding rock and primary support based on dynamic deformation curve of a deep-buried tunnel with flexible primary support in consideration

  • Jian Zhou;Yunliang Cui;Xinan Yang;Mingjie Ma;Luheng Li
    • Geomechanics and Engineering
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    • 제36권6호
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    • pp.575-587
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    • 2024
  • The contact pressure between the surrounding rock and the support is an important indicator of the surrounding rock pressure. There has been a bottleneck in the prediction of contact loads between surrounding rock and primary support in deep-buried mountain tunnels. The main reason is that a reliable method wasn't existed to quantify the contact loads. This study had been taken into account the flexible support role of the primary support, and the fitting curve of surrounding rock deformation for dynamic tunnel construction was proposed. New formulas for the calculation of contact loads between surrounding rock and primary support were obtained by inversion. Comparative analysis of the calculation results with numerical simulation verified the reliability of the calculation method in this study. It can be seen from the analyses that the contact load between surrounding rock and primary support increases, remains unchanged and decreases during acceleration, uniform velocity and deceleration, respectively, and the deformation of the surrounding rock in the acceleration and deceleration stages cannot completely converted into contact loads. The contact loads between surrounding rock and primary support of medium-strength and weak surrounding rock tunnels are generally within 150 kPa and 1 MPa, respectively. For tunnels with weak surrounding rock, advanced support can be installed to reduce the unique release coefficient λ0 and the value of the constant D, with the purpose of reducing the contact loads between surrounding rock and primary support. Changes in support parameters have a small effect on the contact loads between surrounding rock and primary support, but increase or decrease the safety factor, resulting in a waste of resources or a situation that threatens the safety of the support. The results of this research provide guidance for the prediction of contact loads between surrounding rock and primary support for dynamic tunnel construction.

기하급수 전개법을 이용한 준해석 민감도의 오차 분석 (Error Estimation for the Semi-Analytic Design Sensitivity Using the Geometric Series Expansion Method)

  • 단호진;이병채
    • 대한기계학회논문집A
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    • 제27권2호
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    • pp.262-267
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    • 2003
  • Error of the geometric series expansion method for the structural sensitivity analysis is estimated. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of the promising remedies is the use of geometric series formula for the matrix inversion. Its result of the sensitivity analysis converges that of the global difference method which is known as reliable one. To reduce computational efforts and to obtain reliable results, it is important to know how many terms need to expand. In this paper, the error formula is presented and Its usefulness is illustrated through numerical experiments.

이중원관의 냉각과정에 미치는 과냉각의 영향 (Effect of supercooling on the cooling in horizontal cylindrical annuli)

  • 윤정인;김재돌
    • 대한기계학회논문집B
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    • 제20권10호
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    • pp.3313-3321
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    • 1996
  • A fundamental study in cooling and solidification process focused on ice storage was performed, including the interesting phenomena of density inversion, supercooling and dendritic ice. A numerical study was performed for natural convection and ice formation in the cooling and freezing processes with supercooling in a space between double cylinders. When water was cooled under the freezing point by a cooling wall in a cavity, solidification was not started at once, but a subcooled region was formed near the wall. Especially, when the cooling rate was low, subcooled region extended to a wide area. However, after a few minutes, supercooling is released by some triggers. Dendritic ice is suddenly formed within a subcooled region, and a dense ice layer begins to be developed from the cooling wall. Due to the difficulties, most previous studies on solidification process with numerical methods had not treated the supercooling phenomena, i.e. the case considering only the growth of dense ice. In this study, natural convection and ice formation considering existence of supercooling and dendritic ice were analyzed numerically with using finite difference method and boundary fixing method. The results of numerical analysis were well compared with the experimental results.

Numerical Study on the Correction of Sea Effect in Magnetotelluric (MT) Data

  • Yang, Jun-Mo;Yoo, Hai-Soo
    • 한국지구과학회지
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    • 제30권5호
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    • pp.550-564
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    • 2009
  • When magnetotelluric (MT) data are obtained in the vicinity of the coast, the surrounding seas make it difficult to interpret subsurface structure, especially the deep part of the subsurface. We introduce an iterative method to correct the sea effect, based on the previous topographic correction method that removes the distortion due to topographic changes in seafloor MT data. The method first corrects the sea effect in observed MT impedance, and then inverts corrected response in a model space without the sea. Due to mutual coupling between the sea and the subsurface structure, the correction and inversion steps are iterated until the changes in each result become negligible. The method is tested for 1- and 2-D structures using synthetic MT data produced by 3-D forward modeling including surrounding seas. In all cases, the method closely recovers the true structure assumed to generate synthetic responses after a few iterations.