• International Journal of Precision Engineering and Manufacturing
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• 제5권2호
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• pp.53-59
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• 2004

The pseudospectral method is applied to the analysis of out-of$.$plane free vibration of circularly curved Timoshenko beams. The analysis is based on the Chebyshev polynomials and the basis functions are chosen to satisfy the boundary conditions. Natural frequencies are calculated for curved beams of circular cross sections under hinged-hinged, clamped-clamped and hinged-clamped end conditions. The present method gives good accuracy with only a limited number of collocation points.

• Korean Journal of Mathematics
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• 제13권2호
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• pp.161-176
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• 2005

We consider a model of population dynamics whose mortality function is unbounded. We note that the regularity of the solution depends on the growth rate of the mortality near the maximum age. We propose Gauss-Legendre methods along the characteristics to approximate the solution when the solution is smooth enough. It is proven that the scheme is convergent at fourth-order rate in the maximum norm. We also propose discontinuous Galerkin finite element methods to approximate the solution which is not smooth enough. The stability of the method is discussed. Several numerical examples are presented.

• 한국정보통신설비학회:학술대회논문집
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• 한국정보통신설비학회 2008년도 정보통신설비 학술대회
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• pp.190-192
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• 2008

This paper shows the formulation of fast moving least square reproducing kernel method (FMLSRKM) which is a kind of meshfree methods. FMLSRKM has some advantages compared to conventional numerical techniques such as finite element method. For simple analysis on a rectangular waveguide, point collocation scheme is introduced and applied.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2000년도 춘계학술대회논문집
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• pp.1752-1761
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• 2000

This paper describes the far-field estimation using the near-field measurement data. Measurement in far-field region gives us the acoustical characteristics of the source but in general measurement is made in near-field such as acoustic water tank or anechoic chamber, so far-field acoustical characteristics of the source should be predicted from near-field data. In this case, the number of measurement points in the near field which relates to the accuracy of the predicted field and the amount of data processing, should be optimized. Existing papers say that measurement points is proportional to kL and depends on geometry and directivity of the source. But they do not give us any definite criterion for the required number of measurement points. Boundary Collocation Method which is one of the far-field prediction methods, is analyzed based on Helmholtz integral equation and Green function and it has been found that the number of measurement points is optimized as 0.54kL which is about one half of the existing results.

• 충청수학회지
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• 제7권1호
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• pp.141-152
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• 1994

We consider a numerical scheme for solving a nonlinear boundary integral equation (BIE) obtained by reformulation the nonlinear boundary value problem (BVP). We give a simple alternative to the standard collocation method for the nonlinear BIE. This method consists of one conventional linear system and another coupled linear system resulting from an auxiliary BIE which is obtained by differentiating both side of the nonlinear interior integral equations. We obtain an analogue BIE through the perturbation of the fundamental solution of Laplace's equation. We procure the super-convergence of approximate solutions.

• 전자공학회논문지D
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• 제34D권6호
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• pp.1-10
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• 1997

By using the boundary element method, the cahracterization and the circuit modelling of the coplanar waveguide (CPW) discontinuities are performed bvia quasi-static approximation. The capacitive equivalent circuits are obtained by developing the 3-D boundary element method with collocation method. On the triangular patch, the numerical scheme employed the linear basis functions and the analytic solutions of the integrals on the singular points. The capacitive discontinuities of gaps, end-gaps, and open-ends are characterized and the results compared with the conductor backed coplanar waveguides.

• 대한토목학회논문집
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• 제7권1호
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• pp.103-110
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• 1987

구조물(構造物)에 발생(發生)한 균열(龜裂)이 원공(圓孔)에 접근(接近)할 때 원공(圓孔)과 균열선단(龜裂先端)에서는 큰 응력집중현상(應力集中現象)이 생긴다. 이러한 구조물(構造物)의 응력집중(應力集中)에 대한 수치해석방법(數値解析方法)으로 지금까지 주로 유한요소법(有限要素法)이 사용(使用)되어 왔으나 본 연구(硏究)에서는 유한요소법(有限要素法)에 비(比)해 입력자료(入力資料)와 계산시간(計算時間)을 현저히 줄일 수 있는 경계요소법(境界要素法)(boundary element method)을 시도(試圖)하였다. 두개의 원공(圓孔)사이에 균열(龜裂)이 있는 평판(平板)을 모델로 채택하여 경계요소법(境界要素法)으로 구한 해(解)를 Newman에 의한 경계선점법(境界選點法)(boundary collocation method)의 해와(解) 비교(比較)하였고 원공(圓孔)과 균열선단(龜裂先端)에서 역학적(力學的) 거동(擧動을 구명(究明)하였다.

• Structural Engineering and Mechanics
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• 제8권5호
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• pp.439-452
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• 1999

A simple numerical scheme suitable for tracing the fracture propagation path for structures idealized by means of Hillerborg's classical cohesive crack model is presented. A direct collocation, multidomain boundary element method is adopted for the required space discretization. The algorithm proposed is necessarily iterative in nature since the crack itinerary is a priori unknown. The fracture process is assumed to be governed by a path-dependent generally nonlinear softening law. The potentialities of the method are illustrated through two examples.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 1995년도 추계학술대회논문집; 한국종합전시장, 24 Nov. 1995
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• pp.25-31
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• 1995

본 연구는 방음벽의 성능예측을 위해 BEM의 접근 방법을 시도하였으며 범용 음향 소프트웨어인 Sys-noise 5.2의 direct collocation bem을 사용하여 반무한 평면 방음벽에 대한 해석을 수행하였으며, 그 결과를 검증하기 위해 Maekawa에 의한 근사해와 해석적 점근해에 비교하였다. 또한, 수음점이 방음벽으로부터 떨어진 거리, 방음벽의 폭, 방음벽의 높이에 따른 삽입손실을 계산하였고, 방음벽에 흡음처리를 한 경우와 방음벽상단의 형상변화에 따른 삽입손실의 변화를 계산하였다.

• 한국항공우주학회지
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• 제38권7호
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• pp.684-692
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• 2010

본 논문에서는 지구-달 천이를 위한 최적 궤도 설계에 관한 연구를 수행하였다. 지구와 달의 인력을 동시에 고려한 평면상 제한 3체 궤도 운동 모델을 바탕으로 지구 출발시에는 순간 추력을, 지구-달 천이 과정 및 달 임무궤도 투입시에는 연속 추력을 사용하는 혼합형 궤도전이 방법을 제시하였다. 최적화 풀이 방법으로서 Direct Transcription 및 Collocation을 이용한 비선형 프로그래밍 기법을 적용하였으며, 지구 출발 및 달 임무궤도 투입 궤적의 형상은 순간 추력의 연속 추력에 대한 상대 가중치 및 비행시간에 의하여 매우 달라질 수 있음을 파악하였다.