• Title/Summary/Keyword: 모멘트 적분법

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Reliability-based Design Optimization using Multiplicative Decomposition Method (곱분해기법을 이용한 신뢰성 기반 최적설계)

  • Kim, Tae-Kyun;Lee, Tae-Hee
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.4
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    • pp.299-306
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    • 2009
  • Design optimization is a method to find optimum point which minimizes the objective function while satisfying design constraints. The conventional optimization does not consider the uncertainty originated from modeling or manufacturing process, so optimum point often locates on the boundaries of constraints. Reliability based design optimization includes optimization technique and reliability analysis that calculates the reliability of the system. Reliability analysis can be classified into simulation method, fast probability integration method, and moment-based reliability method. In most generally used MPP based reliability analysis, which is one of fast probability integration method, if many MPP points exist, cost and numerical error can increase in the process of transforming constraints into standard normal distribution space. In this paper, multiplicative decomposition method is used as a reliability analysis for RBDO, and sensitivity analysis is performed to apply gradient based optimization algorithm. To illustrate whole process of RBDO mathematical and engineering examples are illustrated.

Reduction of Electromagnetic Penetration Through Narrow Slots in Conducting Screens (도체평판의 슬롯을 통하여 침입하는 침투전자파의 저감)

  • 김기채;김민석
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2001.11a
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    • pp.12-15
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    • 2001
  • 본 논문에서는 무한 도체판에 존재하는 폭이 좁은 슬롯에 단락도체를 설치하였을 때 슬롯을 통하여 침투하는 침투전자파의 크기를 검토하고 있다. 이론해석으로서는 슬롯 개구면의 전계분포에 관한 적분방정식을 유도하고, 개구면 전계분포를 등가 반경의 개념을 적용한 선자류로 가정하여 구분정현함수를 사용한 Galerkin의 모멘트법으로 침투전자파의 크기를 계산하였다. 슬롯에 평면파가 입사할 때 슬롯 개구에 설치된 단락도체에 의해 개구면 전계분포가 제어되고 침투전자파의 크기가 감소된다는 것을 확인하고 있다.

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An Alternative Point-Matching Technique for Fredholm Integral Equations of Second Kind (제2종 Rredholm 적분방정식의 새로운 수식해법)

  • 이직열;김정기
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.5
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    • pp.83-86
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    • 1985
  • An alternative technique (or the numerical solution of Fredholm integral equations of second kind is presented. The approximate solution is obtained by fitting the data in mixed form at knots in the region of the problem. To decrease the error in the numerical solution, cubic B-spline functions which are twice continuously differentiable at knots are employed as basis function. For a given example, the results of this technique are compared with those of Moment method employing pulse functions for basis function and delta functions for test function and found to br in good agreement.

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Efficient Performance Evaluation Method for IS-95 forward link traffic channels in Rayleigh Fading Environment (페이딩 환경에서 IS-95 순방향 트래픽 채널의 효율적인 성능평가 기법)

  • 이상규;김홍열;황인관
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.5A
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    • pp.855-862
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    • 2001
  • 본 논문에서는 백색잡음과 페이딩 환경하의 통신시스템의 성능평가시 백색잡음에 대해서만 모멘트 기법을 이용조건부 오류확률을 구하고 페이딩에 대해서는 해석적 접근방식을 취함으로써 전체적인 컴퓨터 수행시간을 획기적으로 개선시킬 수 있는 기법을 제안하고, 제안된 기법의 효율성을 컴퓨터 시뮬레이션 수행시간 비교를 통해 입증하였다. 현재 널리 사용되는 Monte Carlo 시뮬레이션 기법은 IS-95 순방향 채널과 같이 많은 샘플수를 필요로 하는 시스템에서 상당한 시뮬레이션 수행시간을 요구하게 된다. 이러한 문제점을 해결하기 위하여, 제안된 방식에서는 백색잡음하의 수신신호의 N차 모멘트를 측정하여 이산확률밀도함수를 구함으로써 수신신호의 확률적 특성을 모사하고, 이로부터 내삽법과 외삽법을 적용하여 조건부 누적확률분포함수를 산출함으로써 채널오류율을 구하게 된다. 그리고 페이딩 성능평가시 조건부 채널오류율을 이용하여 산출된 조건부 누적확률분포함수를 환경조건에 맞춘 후에 페이딩의 확률밀도함수와 수치 해석적으로 간단히 적분하여 성능평가를 함으로써 수행시간의 줄임과 동시에 정확한 채널오류율을 구하게 된다.

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A Study for Improving Computational Efficiency in Method of Moments with Loop-Star Basis Functions and Preconditioner (루프-스타(Loop-Star) 기저 함수와 전제 조건(Preconditioner)을 이용한 모멘트법의 계산 효율 향상에 대한 연구)

  • Yeom, Jae-Hyun;Park, Hyeon-Gyu;Lee, Hyun-Suck;Chin, Hui-Cheol;Kim, Hyo-Tae;Kim, Kyung-Tae
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.2
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    • pp.169-176
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    • 2012
  • This paper uses loop-star basis functions to overcome the low frequency breakdown problem in method of moments (MoM) based on electric field integral equation(EFIE). In addition, p-Type Multiplicative Schwarz preconditioner (p-MUS) technique is employed to reduce the number of iterations required for the conjugate gradient method(CGM). Low frequency instability with Rao Wilton Glisson(RWG) basis functions in EFIE can be resolved using loop-start basis functions and frequency normalized techniques. However, loop-star basis functions, consisting of irrotational and solenoidal components of RWG basis functions, require a large number of iterations to calculate a solution through iterative methods, such as conjugate gradient method(CGM), due to high condition number. To circumvent this problem, in this paper, the pMUS preconditioner technique is proposed to reduce the number of iterations in CGM. Simulation results show that pMUS preconditioner is much faster than block diagonal preconditioner(BDP) when the sparsity of pMUS is the same as that of BDP.

Analysis of Resonant Characteristics for a Metallic Shielding Enclosure with a PCB Source (PCB 파원이 내장된 금속 함체의 공진 특성 해석)

  • Cho, Byung-Doo;Kim, Ki-Chai
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.4
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    • pp.507-514
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    • 2012
  • This paper proposed the analysis method of the cavity resonance characteristics for a metallic enclosure with a PCB trace source. In order to calculation the electromagnetic fields inside the cavity, coupled integral equations for a current distribution on the PCB trace and an aperture electric field distribution on the boundary of the PCB dielectric are derived and solved by applying Galerkin's method of moments. The result show that the resonant characteristics of the metallic enclosure are fairly good agreement with the simulation(HFSS) and the measured results. The resonant frequencies of the metallic enclosure with the PCB trace are changed by the PCB trace location inside of the cavity. In order to check the validity of the theoretical analysis, the calculated return losses are compared with the measured results.

Reduction of Electromagnetic Penetration Through Narrow Slots in Conducting Screens (폭이 좁은 슬롯을 통하여 침입하는 침투전자파의 저감법)

  • Kang Woo-Jin;Jung Gwang-Hyun;Kim Ki-Chai
    • 한국정보통신설비학회:학술대회논문집
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    • 2002.08a
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    • pp.13-16
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    • 2002
  • 본 논문에서는 무한히 넓은 도체판에 폭이 좁은 슬롯이 있을 때 슬롯을 통하여 침투하는 침투전자파의 크기를 계산하고 침투 전자파의 저감방법을 검토하고 있다. 이론해석으로서는 슬롯 개구면의 전계분포에 관한 적분방정식을 유도하고 구분정현함수를 사용한 Galerkin 의 모멘트법으로 침투전자파의 크기를 계산하고 있다. 슬롯에 평면파가 입사할 때 침투 전자파를 저감시키기 위한 단락도체에 의해 개구면 전계분포가 제어되고 침투전자파의 크기가 감소된다는 것을 확인하고 있다.

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Analysis of Current Distribution on Cylinders with End Cap (끝단면에 ?을 갖는 원통주의 전류분포 해석)

  • 이강호;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.15 no.11
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    • pp.879-885
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    • 1990
  • An intergral equation is derived for surface current distribution of cylinders with end cap using quasistatic approximation method. The moment method is applied for numerical solution. Point matching method using Cubic B-spline function as a basis function, delta function as a weighting function is applied for moment method. And also, the influencial relation in accordance with structural variation is analized in case of spheroidal end up cap type and flat type.

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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.

A Study on Estimation of Energy required for Fin Unfolding (공력면 전개에 필요한 전개 에너지의 추산에 관한 연구)

  • Jung, Suk-Young
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.3
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    • pp.283-292
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    • 2009
  • Considering an integral equation governing the motion of unfolding fin, an algebraic equation was acquired to get estimated minimum deployment energy required for the successful fin unfolding under the given wind condition. To complete the integration of moment, some approximations had to be introduced particularly to frictional moment and aerodynamic damping for which deployment angular speed of the unfolding fin was modelled as a function of deployment angle only with assumed profile using expected maximum angular speed. Technique for the estimation of the minimum required deployment energy was finalized by introducing the ideal deployment angular speed representing work done by the fin unfolding device alone during fin unfolding and was confirmed by comparing results from simulation with various aerodynamic conditions and profiles of the hinge torque.