• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2009년도 정기 학술대회
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• pp.139-145
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• 2009

축소시스템은 반복적인 계산이 요구되는 문제에서 매우 유용하게 적용될 수 있는 해석 기법이다. 최근에는 영역분할 기법과의 연동을 통해 축소시스템의 효율성이 향상되었다. 그러나, 전체 도메인이 몇 개의 영역으로 분할될 때 구속조건이 부과되지않는 영역이 만들어지게 된다. 각 부영역의 축소시스템을 구축하기 위해서는 리츠벡터를 추출해야 하는데, 구속조건이 부과된 부영역에서는 일반적인 정적해석을 통해 가능하다. 그러나, 경계조건이 부과되지 않은 부영역에서는 리츠벡터 추출을 위해 의사역행렬을 이용해야 한다. 일반적으로, 의사역행렬의 사용은 상당한 계산시간과 전산자원을 필요로 하는 문제점이 있다. 본 연구에서는 이 문제점을 개선하기 위해 축소 의사역행렬 도입을 제안한다. 이 방법은 정적 축소방법을 기초로 축소 의사역행렬을 구축하여 축소된 리츠벡터 정보를 추출한 후, 변환관계를 이용하여 전체 리츠벡터 정보를 구하게 된다. 수치예제에서는 고유치 해석을 통해 제안방법의 신뢰성을 검증하고, 전체시스템 계산시간과 비교하여 그 효율성을 검증한다.

• 한국전산구조공학회논문집
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• 제22권2호
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• pp.173-179
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• 2009

축소시스템은 반복적인 계산이 요구되는 문제에서 매우 유용하게 적용될 수 있는 해석 기법이다. 최근에는 영역분할 기법과의 연동을 통해 축소시스템의 효율성이 향상되었다. 그러나 전체 도메인이 몇 개의 영역으로 분할될 때 구속조건이 부과되지 않는 영역이 만들어지게 된다. 각 부영역에서 축소시스템을 구축하기 위해서는 주자유도가 선정되어야 하고, 이를 위해서는 리츠벡터를 추출해야 한다. 리츠벡터 계산은 구속조건이 부과된 부영역에서는 일반적인 정적해석을 통해 가능하나, 경계조건이 부과되지 않은 부영역에서는 의사역행렬을 이용해야 한다. 일반적으로 의사역행렬의 사용은 상당한 계산시간과 전산자원을 필요로 하는 문제점이 있다. 본 연구에서는 이 문제점을 개선하기 위해 축소 의사역행렬 도입을 제안한다. 이 방법은 정적 축소방법을 기초로 축소 의사역행렬을 구축하여 축소된 리츠벡터 정보를 추출하고, 변환관계를 통해 전체 리츠벡터 정보를 구한다. 수치예제에서는 일반적인 의사역행렬 계산시간 및 고유치 해석 결과의 비교를 통해 제안방법의 효율성과 신뢰성을 검증한다.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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• pp.575-582
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• 2002

A new coupling method of Element-Free Galerkin Method(EFGM) and Boundary Element Method(BEM) using the domain decomposition method is presented in this paper. This proposed methodology is that the problem domain is decomposed into sub-domains being modeled by the EFGM and BEM respectively and the respective EFGM and BEM domains share a partially overlapped region over an entire domain. Then, the each sub-domain is separately computed and the variables on common region are iteratively updated until converging. It is an important note that in the developed coupling method, there is no need to combine the coefficient matrices of EFGM and BEM sub-domains, in contrast with the other conventional coupling methods. In the first part of this paper, a theory of EFGM and BEM is summarized, and then a brief introduction of domain decomposition method is described. Then, a new coupling method is presented. Also, patch test and Some numerical examples are studied to verify stability, accuracy and efficiency of the proposed method, in which numerical performance of the method is compared with that of conventional method such as EFGM-BEM variational coupling method, EFGM and BEM.

• 한국소음진동공학회논문집
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• 제22권9호
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• pp.830-836
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• 2012

The NDIF method based on a sub-domain technique is introduced to extract highly accurate natural frequencies of arbitrarily shaped plates with the simply-supported boundary condition. The NDIF method, which was developed by the authors for the eigen-mode analysis of arbitrarily shaped plates with various boundary conditions, has the feature that it yields highly accurate natural frequencies thanks to its effective theoretical formulation, compared with other analytical methods or numerical methods(FEM and BEM). However, the NDIF method has the weak point that it can be applicable for only convex plates. It was revealed that the NDIF method offers very inaccurate natural frequencies or no solution for concave cavities. To overcome the weak point, the paper proposes the sub-domain method of dividing a concave plate into several convex domains. Finally, the validity of the proposed method is verified in various case studies, which indicate that natural frequencies obtained by the proposed method are very accurate compared to the exact method and FEM(ANSYS).

• International Journal of CAD/CAM
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• 제11권1호
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• pp.11-17
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• 2011

A new method has been developed in this paper for automatic quadrilateral mesh generation for a two-dimensional domain. The method is named 'centering method' because it centers a point at the domain and then divides it into sub-domains using cutting lines from the center point. Each of the cutting lines is selected based on the criterion using the angles between the boundary of the domain and the cutting line. The decomposition of the domain into sub-domains is repeated until every subdomain has four or six nodes. Pre-defined splitters are used to divide six-node domains into quadrilateral elements depending on their configuration and presence on the boundary of the initial domain. Arbitrary domains are meshed as examples to verify the robustness of the new method.

• 한국소음진동공학회논문집
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• 제22권8호
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• pp.742-747
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• 2012

A modified NDIF method using a sub-domain approach is introduced to extract highly accurate eigenvalues of two-dimensional, arbitrarily shaped acoustic cavities. The NDIF method, which was developed by the authors for the eigen-mode analysis of arbitrarily shaped acoustic cavities, has the feature that it yields highly accurate eigenvalues compared with other analytical methods or numerical methods(FEM and BEM). However, the NDIF method has the weak point that it can be applicable for only convex cavities. It was revealed that the solution of the NDIF method is very inaccurate or is not suitable for concave cavities. To overcome the weak point, the paper proposes the sub-domain method of dividing a concave domain into several convex domains. Finally, the validity of the proposed method is verified in two case studies, which indicate that eigenvalues obtained by the proposed method are more accurate compared to the exact method, the NDIF method, or FEM(ANSYS).

• Journal of information and communication convergence engineering
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• 제9권6호
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• pp.763-768
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• 2011

Image denoising is a lively research field. Today the researches are focus on the wavelet domain especially using wavelet threshold method. We proposed an adaptive threshold method which considering the characteristic of different sub-band, the method is adaptive to each sub-band. Experiment results show that the proposed method extracts white Gaussian noise from original signals in each step scale and eliminates the noise effectively. In addition, the method also preserves the detail information of the original image, obtaining superior quality image with higher peak signal to noise ratio(PSNR).

• 한국소음진동공학회논문집
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• 제19권10호
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• pp.1069-1074
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• 2009

A sub-domain method for free vibration analysis of arbitrarily shaped, concave membranes with a deep groove is proposed in the paper. The proposed method divides the concave membrane of interest into two convex regions. The vibration displacement(approximate solution) of each convex region is assumed by linearly superposing plane waves generated at edges of the region. A sub-system matrix for each convex region is extracted by applying a provisional boundary condition to the approximate solution. Finally, a system matrix, which of the determinant gives eigenvalues of the concave membrane, is made by considering the fixed boundary condition(displacement zero condition) at edges and the compatibility condition(the condition of continuity in displacement and slope) at the interface between the two regions. Case studies show that the proposed method is valid and accurate when the eigenvalues by the proposed are compared to those by NDIF method, FEM, or the exact method.

• Current Optics and Photonics
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• 제8권3호
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• pp.225-229
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• 2024

This paper introduces a rapid measurement technique for the stress-optic coefficient, using terahertz time-domain spectroscopy. First we propose a design combining a four-point bending device with a scanning stage to streamline the loading process. Then we detail the measurement principle and outline the signal-processing algorithm. The experiments are carried out on Al₂O₃, a representative ceramic material. The experimental data reveal that the refractive index of Al₂O₃ exhibits a linear decrease with increasing stress. This work supplies an efficient method for stress measurement rooted in the stress-optic effect.

• Structural Engineering and Mechanics
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• 제25권4호
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• pp.467-480
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• 2007

Two methods were developed for analyzing problems with two adjacent sub-domains modeled by different kinds of elements in finite element method. Each sub-domain can be defined independently without the consideration of equivalent division with common nodes used for the interface. These two methods employ an individual interface to accomplish the compatibility. The MLSA method uses the moving least square approximation which is the basic formulation for Element Free Galerkin Method to formulate the interface. The displacement field assumed by this method does not pass through nodes on the common boundary. Therefore, nodes can be chosen freely for this method. The results show that the MLSA method has better approximation than traditional methods.