• 대한전기학회:학술대회논문집
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• 대한전기학회 2008년도 제39회 하계학술대회
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• pp.651-652
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• 2008

This research presents a multi-objective optimal design employing topological approach to maximize magnetic energy while minimizing structural deformation which is caused by magnetic reluctance force and magnetostriction. A design sensitivity formula is derived by employing the adjoint variable method (AVM) to avoid numerous sensitivity evaluations for a coupled magneto-mechanical analysis. The sensitivity analysis is verified using the finite difference method (FDM) in a C-shape actuator. A linear actuator used in a home appliance is examined for optimal design and demonstrates the strength of the proposed topology optimization approach.

• 한국전산구조공학회논문집
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• 제27권1호
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• pp.9-16
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• 2014

레벨셋 기법과 위상민감도를 이용하여 선형 탄성 구조물에 대하여, 초기 설계형상에 의존성이 없는 위상 및 형상 최적설계 기법을 개발하였다. 레벨셋 기법에서는 복잡한 위상 형상변화를 쉽게 다루기 위해 초기 영역은 고정한 채 레벨셋 함수로 표현되는 암시적 이동경계로 경계를 표현한다. 해밀턴-자코비(H-J) 방정식과 수치적으로 강건한 기법인 'up-wind scheme'은 컴플라이언스 목적함수를 최소화시키고 허용체적 제약조건을 만족시키면서, 초기 암시적 경계를 법선 속도장에 따라 최적의 형상으로 이끌어 낸다. 점근적인 정규화 개념에 근거하여, 구멍의 반지름을 0으로 접근시켜 형상 미분의 극한을 취한 위상민감도를 고려하였다. 최적조건으로부터 유도된 라그란지안의 감소 방향을 이용하여 H-J 방정식을 갱신하기 위한 속도장을 결정하였다. 개발한 방법에서는 위상민감도로부터 얻어지는 지표를 이용하여 구멍을 언제든지 어디에서나 생성가능하기 때문에 초기 구멍이 최적 형상을 얻기 위해 요구되지 않는다는 사실을 확인하였다. 또한 효율적인 최적화 과정을 위해서는 구멍 생성을 위한 조정변수의 적절한 선택이 중요함을 확인하였다.

• International Journal of CAD/CAM
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• 제7권1호
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• pp.11-20
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• 2007

A topology optimization methodology, named "smooth boundary topology optimization," is proposed to overcome the shortcomings of cell-based methods. Material boundary is represented by B-spline curves and their control points are considered as design variables. The design is improved by either creating a hole or moving control points. To determine which is more beneficial, a selection criterion is defined. Once determined to create a hole, it is represented by a new B-spline and recognized as a new boundary. Because the proposed method deals with the control points of B-spline as design variables, their total number is much smaller than cell-based methods and it ensures smooth boundaries. Differences between our method and level set method are also discussed. It is shown that our method is a natural way of obtaining smooth boundary topology design effectively combining computer graphics technique and design sensitivity analysis.

• 한국전산구조공학회논문집
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• 제27권1호
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• pp.1-8
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• 2014

레벨셋 기법과 무요소법을 결합한 위상 및 형상 최적설계 기법을 개발하여 선형 탄성문제에 적용하였다. 설계민감도는 애드조인트법을 사용하여 효율적으로 구하였다. 해밀턴-자코비 방정식을 업-윈드 기법을 이용하여 수치적으로 풀었으며, 구조물의 경계는 레벨셋 함수를 이용하여 암시적으로 표현하였다. 구조물의 응답과 설계민감도를 얻기 위하여 암시적 함수를 사용하여 명시적 경계를 생성하였다. 재생 커널 기법에 기초하여 얻어진 전역 절점 기저함수를 사용하여 연속체 지배방정식의 변위장을 이산화하였다. 따라서 질점들을 연속체 영역의 어느 곳이든 위치시킬 수 있으며, 이는 통해 명시적 경계를 생성하는 것이 가능하며, 결과적으로 정확한 설계를 얻을 수 있다. 개발된 방법은 제한 조건이 있는 최적설계 문제에 대하여 라그랑지안 범함수를 정의한다. 이는 경계의 변화를 통하여 허용 부피 제한조건을 만족시키면서 컴플라이언스를 최소화한다. 최적설계 과정 동안 라그랑지안 범함수의 최적화조건을 만족시킴으로써 해밀턴-자코비 방정식을 풀기 위한 속도장을 얻는다. 기존의 형상 최적설계 기법에 비하여, 본 방법론은 위상과 형상의 변화를 쉽게 얻어낼 수 있다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2008년도 제39회 하계학술대회
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• pp.623-624
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• 2008

We present a level set method for numerical shape optimization of electromagnetic systems. The level set method does not only lead to efficient computational schemes, but also is able to handle topological changes such as merging, splitting and even disappearing of connected components. The velocity field on boundaries is obtained by a shape derivative of continuum sensitivity analysis using the material derivative concept and an adjoint variable technique. Two numerical results of dielectric optimization between electrodes showed that the level set method is feasible and effective in solving shape optimization problems of electromagnetic systems.

• Structural Engineering and Mechanics
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• 제51권5호
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• pp.793-808
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• 2014

The goal of this study is to evaluate and design steel plates with optimal material distributions achieved through a specific material topology optimization by using a CCARAT (Computer Aided Research Analysis Tool) as an optimizer, topologically optimally updating node densities as design variables. In typical material topology optimization, optimal topology and layouts are described by distributing element densities (from almost 0 to 1), which are arithmetic means of node densities. The average element densities are employed as material properties of each element in finite element analysis. CCARAT may deal with material topology optimization to address the mean compliance problem of structural mechanical problems. This consists of three computational steps: finite element analysis, sensitivity analysis, and optimality criteria optimizer updating node densities. The present node density based design via CCARAT using node densities as design variables removes jagged optimal layouts and checkerboard patterns, which are disadvantages of classical material topology optimization using element densities as design variables. Numerical applications that topologically optimize reinforcement material distribution of steel plates of a cantilever type are studied to verify the numerical superiority of the present node density based design via CCARAT.

• 한국생산제조학회지
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• 제21권5호
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• pp.797-804
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• 2012

Magnesium has a long tradition of use as a lightweight material in the field of automotive industry. This paper presents the design optimization process of Mg armrest frame to minimize its weight by replacing the steel frame. formerly, the analysis of steel armrest frame was peformed to determine the design specifications for Mg armrest frame. The initial design of Mg armrest frame was carried out by topological optimization technique. After six types of design variables and four types of response variables were defined, DOE(Design of Experiment) and RSM (Response Surface Method) were applied in order to measure sensitivity of design variables and realize optimization through regression model. After design optimization, the weight of the optimized Mg armrest frame was reduced by about 3% compared to the initial design of the Mg frame and was decreased by 41.7% in comparison with that of the steel frame. Some prototypical armrest frames were also made by die casting process and tested. The results were satisfying for its design specifications.

• 한국생물정보학회:학술대회논문집
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• 한국생물정보시스템생물학회 2004년도 The 3rd Annual Conference for The Korean Society for Bioinformatics Association of Asian Societies for Bioinformatics 2004 Symposium
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• pp.265-271
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• 2004

The interaction network of protein -protein plays an important role to understand the various biological functions of cells. Currently, the high -throughput experimental techniques (two -dimensional gel electrophoresis, mass spectroscopy, yeast two -hybrid assay) provide us with the vast amount of data for protein-protein interaction at the proteome scale. In order to recognize the role of each protein in their network, the efficient bioinformatical and computational analysis methods are required. We propose a systematic and mathematical method which can analyze the protein -protein interaction network rigorously and enable us to capture the biological and physical essence of a topological character and stability of protein -protein network, and sensitivity of each protein along the biological pathway of their network. We set up a Laplacian matrix of spectral graph theory based on the protein-protein network of yeast proteome, and perform an eigenvalue analysis and apply a perturbation method on a Laplacian matrix, which result in recognizing the center of protein cluster, the identity of hub proteins around it and their relative sensitivities. Identifying the topology of protein -protein network via a Laplacian matrix, we can recognize the important relation between the biological pathway of yeast proteome and the formalism of master equation. The results of our systematic and mathematical analysis agree well with the experimental findings of yeast proteome. The biological function and meaning of each protein cluster can be explained easily. Our rigorous analysis method is robust for understanding various kinds of networks whether they are biological, social, economical...etc

• Advances in nano research
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• 제5권3호
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• pp.245-251
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• 2017

Multiwalled carbon-nanotubes (MWCNT) and micro-structured carbon, such as biochar or activated carbon (AC), have been seen to significantly increase the growth indices of certain plant species such as maize (Zea mays L.). Seed imbibition is the stage where environmental factors that affect water transport across the seed coat barrier, make a large impact. This work explores the effect on water imbibition by maize seeds when the aqueous environment surrounding the seed is diluted by small concentrations (10 and 20 mg/l) of pristine MWCNT (p-MWCNT), carboxylate functionalized MWCNT (COO-MWCNT) and AC. The degree of sensitivity of the process to (i) large structural changes is seen by utilizing the nano (the MWCNT) and the micro (the AC) allotropic forms of carbon; (ii) to small changes in the purity and morphology of the p-MWCNT by utilizing 95% pure and 99% pure p-MWCNTs of slightly differing morphologies; and (iii) to MWCNT functionalization by using highly pure (97%) COO-MWCNT. Water imbibition was monitored over a 15 hour period by Near Infrared Thermography (NIRT) and also by seed weighing. Seed surface topography was seen by SEM imaging. Analysis of the NIRT images suggests rapid seed surface topological changes with the quantity of water imbibed. While further work is necessary to arrive at a conclusive answer, this work shows that the imbibition phase of the maize seed is sensitive to the presence of MWCNT even to small differences in the purity of the p-MWCNT and to small differences in the physicochemical properties of the medium caused by the hydrophilic COO-MWCNT.