• Title/Summary/Keyword: 해석적 적분

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Analysis of Dielectric Coated Electromagnetically Coupled Coaxial Dipole Array (ECCDA) Antenna (유전체가 입혀진 전자기 결합 동축 다이폴 어레이 안테나의 해석)

  • Koo Sung-Mo;Yiug Woo-Suk;Lee Chang-Won
    • Journal of the Institute of Convergence Signal Processing
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    • v.5 no.4
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    • pp.317-324
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    • 2004
  • Electromagnetically coupled coaxial dipole (ECCD) array antenna with and without short-ended termination is investigated theoretically. The integral equations are derived for the structure by use of the Fourier transform and mode expansion of radial waveguide. The integrals appearing in the integral equations are evaluated along the branch cut instead of real axis for a faster convergent integral. The effects of slots and dipoles, short-ended termination length, and dielectric coating on the radiation characteristics are presented. Radiation pattern of the structure is also investigated. The results of the present method are compared with those of the commercial EM simulator and good agreement is found.

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Stochastic Finite Element Analysis by Using Quadrilateral Elements (사변형 요소를 이용한 추계론적 유한요소해석)

  • Choi, Chang Koon;Noh, Hyuk Chun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.5
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    • pp.29-37
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    • 1993
  • The extension of the weighted integral method in the area of stochastic finite element analysis is presented. The use of weighted integral method in numerical analysis was extended to CST(constant strain triangle) element by Deodatis to calculate the response variability of 2D stochastic systems. In this paper, the extension of the weighted integral method for general plane-elements is represented. It has been shown that the same mesh used in the deterministic FE analysis can be used in the stochastic FE analysis. Furthermore, because the CST element is a special case which has constant strain-displacement matrix the mingling of CST elements with the other quadrilateral elements in the analysis may also be possible.

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Application of Fracture Mechanics Method to Ottshore Structural Crack Instability Analysis (해양구조물의 균열불안정성 해석에 대한 파괴역학의 응용)

  • Rhee, H. C.
    • Journal of Ocean Engineering and Technology
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    • v.1 no.1
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    • pp.94-103
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    • 1987
  • 균열불안정 해석법인 COD설계곡선법과 R6파괴 평가도법에 있어서 그 응용 한계의 확립과 타당성 수준의 정량화를 위해 포괄적인 비교 연구가 수행되었다. 참고로서 J-적분 균열불안정성 해석법이 이용되었다. 본 연구의 결과로서, 균열확장의 유무에 대한 R6 파괴 평가도법이 매우 우수한 방법임을 보여준다. COD 설계곡선법에 대한 영국 표준국 순서에 따른 결과로서는, 큰 스캐터 밴드를 가진 상당량의 부당성 해를 보여준다. 이러한 COD설계곡선법의 해를 개선하기 위한 새로운 접근법이 개발되었고, 그 타당성이 입증되었다.

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Volume Integral Expressions for Numerical Computation of the Dynamic Energy Release Rate (동적(動的)에너지 방출율(放出率)의 수치해석(數値解析)을 위한 체적적분식(體積積分式))

  • Koh, Hyun Moo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.3
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    • pp.65-73
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    • 1989
  • Continuum formulations for the expressions of dynamic energy release rates and computational methods for dynamic stress intensity factors are developed for the analysis of dynamic fracture problems subjected to stress wave loading. Explicit volume integral expressions for instantaneous dynamic energy release rates are derived by modeling virtual crack extensions with the dynamic Eulerian-Lagrangian kinematic description. In the finite element applications a finite region around a crack-tip is modeled by using quarter-point singular isoparametric elements, and the volume integrals are evaluated for each crack-tip element during virtual crack extensions while the singularity is maintained. It is shown that the use of the present method is more reliable and accurate for the dynamic fracture analysis than that of other path-independent integral methods when the effects of stress waves are significant.

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Reliability-based Design Optimization using MD method (곱분해기법을 적용한 신뢰성 기반 최적 설계)

  • Lee, Tae-Hee;Kim, Tae-Kyun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.101-104
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    • 2009
  • 최적설계는 설계자가 요구하는 제한조건을 만족시키는 범위에서 목적함수가 최소가 되는 설계점을 찾는 방법이다. 그러나 기존의 최적설계는 불확실성의 영향을 고려하지 않아 최적해가 제한조건의 경계에 위치하고 이것은 모델링과정이나 가공 등으로 인한 오차에 대한 영향을 고려하지 않는 문제점이 있다. 신뢰성 기반 최적설계는 불확실성을 정량화하면서 신뢰도를 계산하는 신뢰도 해석과정과 최적설계과정을 포함한다. 일반적으로 신뢰성 해석은 크게 추출법, 급속 확률 적분법, 모멘트 기반 신뢰성해석이 있다. 가장 널리 사용되는 급속 확률 적분법 중 최대 손상 가능점(MPP) 방법은 많은 MPP점이 존재하는 경우 수치적 비용이 증가하는 문제점과 표준 정규분포 공간으로 변환하는 과정에서 제한조건의 비선형성을 증가시켜 큰 오차를 발생시키는 문제점이 있다. 본 논문에서는 RBDO를 수행하기에 앞서 선행되어야 할 신뢰성해석 방법으로 곱분해기법을 사용하였고 이로부터 민감도 정보를 유도하여 기울기 기반 최적화 알고리즘을 적용하였다.

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Displacement Estimation using MEMS Accelerometer for Low Frequency Motion (저주파운동해석을 위한 MEMS 가속도계를 이용한 변위 추정)

  • Young, Tan She;Park, Soo-Hong
    • The Journal of the Korea institute of electronic communication sciences
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    • v.8 no.6
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    • pp.831-837
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    • 2013
  • MEMS accelerometer provides a low cost alternative in retrieving the acceleration signal for motion sensing. Theoretically, displacement can be calculated by double integrate the acceleration signal. However, in practical, it could not be done in straight forward manner due to several factors that exist in the real world. This experiment focuses on the processes from practical accelerometer signal acquisition till the result of double integration for low frequency vertical motion.

Numerical Formulation for Flow Analysis of Dredged Soil (준설토 유동해석을 위한 유한요소 수식화)

  • Shin, Hosung
    • Journal of the Korean GEO-environmental Society
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    • v.15 no.3
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    • pp.41-48
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    • 2014
  • Experimental study of sedimentation and self-weight consolidation has been primary research area in dredged soil. However, good quality of the dredged soil and minimum water pollution caused by the pumping of reclaimed soil require intensive study of the flow characteristics of dredged material due to dumping. In this study, continuity and the equilibrium equations for mass flow assuming single phase was derived to simulate mass flow in dredged containment area. To optimize computation and modeling time for three dimensional geometry and boundary conditions, depth integration is applied to governing equations to consider three dimensional topography of the site. Petrov-Galerkin formulation is applied in spatial discretization of governing equations. Generalized trapezoidal rule is used for time integration, and Newton iteration process approximated the solution. DG and CDG technique were used for weighting matrix in discontinuous test function in dredged flow analysis, and numerical stability was evaluated by performed a square slump simulation. A comparative analysis for numerical methods showed that DG method applied to SU / PG formulation gives minimal pseudo oscillation and reliable numerical results.

One-dimensional head distribution analysis in two-layer porous media using integral equations (적분방정식(積分方程式)을 이용한 2층(二層) 다공성(多孔性) 매질(媒質)에서의 1차원 수두분포(水頭分布) 해석)

  • Lee, Sang Il
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.1
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    • pp.97-103
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    • 1993
  • This paper presents a quasi-analytical method using integral equations to obtain head distributions in unsaturated porous media with different hydrogeologic properties. One-dimensional soultion algorithms were developed for two cases of boundary conditions at the top: 1) constant head and 2) constant flux. Water table elevation at the bottom was assumed known for both cases. The methodology was applied to a fly ash disposal facility in an alluvium area. The results showed that the pressure head distributions had high nonlinearity with large gradients slightly above the interface of two media which made preliminary numerical solutions implausible. The developed method helped to structure finite element grids for improving convergence and accuracy.

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Numerical Integration-based Performance Analysis of Cross-eye Jamming Algorithm through Amplitude Ratio Perturbation (진폭비 섭동에 의한 cross-eye 재밍에 대한 수치적분 기반 성능분석)

  • Kim, Je-An;Choi, Yoon-Ju;Lee, Joon-Ho
    • Journal of the Korea Convergence Society
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    • v.12 no.12
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    • pp.59-64
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    • 2021
  • This paper deals with the performance analysis of the jamming effect of cross-eye when the difference between the real amplitude ratio and the nominal amplitude ratio due to mechanical defects is modeled as a random variable with a normal distribution. We propose how to evaluate mean square difference (MSD) obtained using a numerical integration-based approach. The MSD obtained by the proposed method is closer to non-approximated Monte-Carlo simulation-based MSD than the analytic MSD calculated using the first-order Taylor approximation and the second-order Taylor approximation. It is shown that, based on the numerical integration, the effect of amplitude ratio perturbation on the cross-eye jamming performance can be evaluated without going through the computationally intensive Monte-Carlo method.

Model Reduction of LTI systems via Improved BPF integral operation matrix (개선된 블럭펄스 적분연산행렬을 이용한 LTI 시스템 모델축소)

  • Cho, Young-Ho;Shim, Jae-Sun
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.279-281
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    • 2006
  • 적분연산행렬은 구간연속 직교함수들이 시스템 동정, 해석, 제어기 설계 등의 분야에 널리 이용될 수 있는 계기를 제공하였다. 특히 블럭펄스 함수는 연산이 간단하기 때문에 선형 시변계와 비선형계 등의 제어문제 둥에 널리 이용되어 오고 있다. 본 논문은 기존의 블럭펄스 함수 적분 연산행렬과 비교했을 때 적분오차를 줄이는 적분연산행렬을 소개하였으며, 이를 이용하여 고차 시스템의 응답에 가장 최적한 응답을 갖는 저차 시스템의 응답을 갖도록 최적응답 방법에 적용하여 대수적인 방법으로 저차 시스템의 파라메터를 구하는 알고리즘을 제시함으로서 유용성을 확인하였다.

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