• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2009년도 추계학술대회 논문집
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• pp.451-452
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• 2009

• Journal of Theoretical and Applied Mechanics
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• 제3권1호
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• pp.16-33
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• 2002

A concept of hierarchical modeling, the newest modeling technology. has been introduced early In 1990. This nu technology has a goat potential to advance the capabilities of current computational mechanics. A first step to Implement this concept is to construct hierarchical models, a family of mathematical models which are sequentially connected by a key parameter of the problem under consideration and have different levels in modeling accuracy, and to investigate characteristics In their numerical simulation aspects. Among representative model problems to explore this concept are elastic structures such as beam-, arch-. plate- and shell-like structures because the mechanical behavior through the thickness can be approximated with sequential accuracy by varying the order of thickness polynomials in the displacement or stress fields. But, in the numerical analysis of hierarchical models, two kinds of errors prevail: the modeling error and the numerical approximation errors. To ensure numerical simulation quality, an accurate estimation of these two errors Is definitely essential. Here, a local a posteriori error estimator for elastic structures with thin domain such as plate- and shell-like structures Is derived using element residuals and flux balancing technique. This method guarantees upper bounds for the global error, and also provides accurate local error Indicators for two types of errors, in the energy norm. Comparing to the classical error estimators using flux averaging technique, this shows considerably reliable and accurate effectivity indices. To illustrate the theoretical results and to verify the validity of the proposed error estimator, representative numerical examples are provided.

• Structural Engineering and Mechanics
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• 제8권5호
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• pp.513-529
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• 1999

A concept of hierarchical modeling, the newest modeling technology, has been introduced in early 1990's. This new technology has a great potential to advance the capabilities of current computational mechanics. A first step to implement this concept is to construct hierarchical models, a family of mathematical models sequentially connected by a key parameter of the problem under consideration and have different levels in modeling accuracy, and to investigate characteristics in their numerical simulation aspects. Among representative model problems to explore this concept are elastic structures such as beam-, arch-, plate- and shell-like structures because the mechanical behavior through the thickness can be approximated with sequential accuracy by varying the order of thickness polynomials in the displacement or stress fields. But, in the numerical, analysis of hierarchical models, two kinds of errors prevail, the modeling error and the numerical approximation error. To ensure numerical simulation quality, an accurate estimation of these two errors is definitely essential. Here, a local a posteriori error estimator for elastic structures with thin domain such as plate- and shell-like structures is derived using the element residuals and the flux balancing technique. This method guarantees upper bounds for the global error, and also provides accurate local error indicators for two types of errors, in the energy norm. Compared to the classical error estimators using the flux averaging technique, this shows considerably reliable and accurate effectivity indices. To illustrate the theoretical results and to verify the validity of the proposed error estimator, representative numerical examples are provided.

• 대한기계학회논문집A
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• 제34권8호
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• pp.1007-1013
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• 2010

본 연구에서는 NURBS 의 국부 세분화 방법 중 하나인 계층적 B-스플라인을 이용해 스플라인 유한요소법의 국부 세분화를 수행하는 방법을 제안한다. 세분화가 필요한 영역에 전역 격자로부터 계층적으로 생성된 국소 격자를 중첩시켜 국부 세분화를 수행한다. 국소 격자의 매듭 벡터와 제어점은 전역 격자로부터 추출된 후 세분화 되는 과정을 거친다. 생성된 국소 격자에 적절한 연속성 조건을 부여 함으로써 전역 격자와 국소 격자의 연속성을 유지 한다. 제안된 방법을 이용해 수치 예제의 해석을 수행하였다. 이를 통해 기존 NURBS 기반 스플라인 유한요소법에 비해 제안된 방법의 효율성을 검증하였다.

• Composites Research
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• 제23권4호
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• pp.1-6
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• 2010

진주조개를 모방한 생체모방 복합재료의 저속충격 하에서의 동적 거동에 대해 연구하였다. 이러한 복합재료는 단백질과 미네랄 층이 계층구조를 이루고 있다. 유한요소해석을 사용하여 복합재료의 충격거동을 해석하였다. 복합재료의 계층구조가 동적 거동에 미치는 영향을 고찰하였다. 생체모방구조물은 계층구조의 차수가 높아짐에 따라 저속충격에 대해 충격지점에서 구조물이 받는 최대 응력과 변위, 접촉하중을 감소시킨다.

• 한국언어정보학회:학술대회논문집
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• 한국언어정보학회 2007년도 정기학술대회
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• pp.515-521
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• 2007

The text categorization is an important field for the automatic text information processing. Moreover, the authorship identification of a text can be treated as a special text categorization. This paper adopts the conceptual primitives' expression based on the Hierarchical Network of Concepts (HNC) theory, which can describe the words meaning in hierarchical symbols, in order to avoid the sparse data shortcoming that is aroused by the natural language surface features in text categorization. The KNN algorithm is used as computing classification element. Then, the experiment has been done on the Chinese text authorship identification. The experiment result gives out that the processing mode that is put forward in this paper achieves high correct rate, so it is feasible for the text authorship identification.

• Structural Engineering and Mechanics
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• 제22권5호
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• pp.599-611
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• 2006

The theory with hierarchical warping functions had been used to analyze composite thin-walled structure, laminated beam and had good results. In the present paper, a series of hierarchical warping functions are developed to analyze the cylindrical bending problems of composite lamina. These warping functions which refine through-the-thickness variation of displacements were composed of basic and corrective functions by taking into account of anisotropic, material discontinues, and transverse shear and normal strain. Then the hierarchical finite element method was used to form a numerical algorithm. The distribution of the displacements, in-plane stresses, transverse shear stresses and transverse normal stress for composite laminate were analyzed with the present model. The results show that the present model has precise mechanical response compared with the first deformation transverse theory and the corrective order affects the accuracy of result.

• 한국전산구조공학회논문집
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• 제22권1호
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• pp.117-124
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• 2009

2차원 포텐셜 문제를 해석하기 위해 고차의 르장드르 형상함수에 기초를 둔 p-수렴 경계요소법이 제안되었다. p-수렴 경계요소법은 종래의 경계요소법에서 사용되는 형상함수와 성질이 다른 르장드르 다항식을 형상함수로 사용한다. p-수렴 유한요소법과 마찬가지로 고차의 형상함수에 따른 절점의 위치가 경계상에서 정해지지 않는다. 따라서 형상함수가 증가함에 따라 선형방정식을 구성하기 위한 수단으로 선점법을 이용하였다. p-수렴 경계요소법에서 선점법은 비대칭 계층적 선점법과 대칭 비계층적 선점법을 선택하여 수치해석을 수행하였다. 선택점들은 형상함수가 증가함에 따라 증가하는 성질을 나타내며 계층적 또는 대칭적으로 선택될 수 있다. p-수렴 경계요소법에서 나타나는 특이 적분항을 계산하기 위해 special numeric quadrature technique와 semi-analytical integration technique를 사용하였다. 사각모서리부에서 특이성을 가지는 L-형 영역문제를 해석한 결과 적은 수의 자유도에서 기존문헌의 결과와 차이가 거의 없는 정도인 $10^{-2}%$단위 이하의 정확도를 보여주었다. 또한 같은 조건에서는 대칭형 선점의 위치를 이용해 계산한 값이 가장 높은 정확도를 보여주었다.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2001년도 하계종합학술대회 논문집(2)
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• pp.329-332
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• 2001

This paper proposes a capacitance extraction algorithm based on boundary element method and describes the implemented 2-dimension extractor based on the proposed algorithm. The proposed algorithm uses a generalized conjugate residual iterative algorithm with a hierarchical subdivision. The implemented 2-D extractor computes the capacitances of complicated 2-D geometry of ideal conductors in uniform dielectric and can be efficiently used in the VLSI layout designs due to its user-friendly GUI.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2009년도 추계학술대회 논문집
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• pp.467-468
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• 2009