• 한국수학교육학회지시리즈A:수학교육
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• 제37권1호
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• pp.115-138
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• 1998

We seek the possibility of introduction of Fractals to the high school math. curriculum through identifying Fractals teaching programs appropriate for the scopes and sequences in math. education for the high school students. We presented the contents of Fractal theory suitable for the high school students. The following subjects were chosen to be introduced; self-similarity, Fractal dimension, Cantor set, Sierpinsky triangle, Sierpinsky carpel Koch curve, Koch island, perimeter estimate of rugged profiles drawn on paper, and chaos game. We developed the working papers and the criteria for appraisal. Each working paper focuses on the activities in which students can solve the given problems, understanding the characteristics and ideas of Fractals. The working papers were given to the second year students who take science course, and the degree of achievements were analyzed based on the appraisal criteria. The results show that it is possible to introduce Fractals to the high school students.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1995년도 추계학술대회 논문집
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• pp.161-164
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• 1995

Nonlinear analysis of various phenomena has been developed with improvement of computer. The characteristics form nonlinear analysis are available in monitoring and diagnosis state of system. There are many nonlinear property in cutting process, but nonlinear signals have been considered as noise. In this study, nonlinear analysis technique is applied and it will be verified that cutting force is chaos by calculating Lyapunov exponents,fractal dimension and embedding dimension. The relation between characteristic parameter calculated form sensor signal and various cutting condition is investigated.

• 한국자동차공학회논문집
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• 제7권6호
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• pp.258-269
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• 1999

It is important to evaluate fatigue damage of in-service material in respect to assure safety and remaining fatigue life in structure and mechanical components under cyclic load . Fatigue damage is represented by mathematical modelling with crack growth rate da/dN and cycle ration N/Nf and is detected by X-ray diffraction and ultrasonic wave method etc. But this is estimated generally by single parameter but influenced by many test conditions The characteristics of it indicates fatigue damage has complex fracture mechanism. Therefore, in this study we propose that back-propagation neural networks on the basis of ration of X-ray half-value breath B/Bo, fractal dimension Df and fracture mechanical parameters can construct artificial intelligent networks estimating crack growth rate da/dN and cycle ratio N/Nf without regard to stress amplitude Δ $\sigma$.

• 전기화학회지
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• 제6권4호
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• pp.271-281
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• 2003

The present article is concerned with pitting corrosion of Inconel alloy 600 at elevated solution temperatures. This article first summarized the previous works on the characteristics and the growth models of oxide film grown on alloy 600 at elevated solution temperatures. Thereafter, this article reviewed previous works on the morphological study on pitting corrosion of alloy 600 as functions of solution temperature and such anion additives as thiosulphate, sulphate, nitrate and bicarbonate ions in terms of pit morphology and its fractal dimension.

• 한국정밀공학회지
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• 제19권1호
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• pp.158-164
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• 2002

This paper proposes the optimization of ultrasonic signal recognition in ferrite carbon steel weld zone using neural networks. For these purposes, the ultrasonic signals for defects as porosity, incomplete penetration and slag inclusion in the weld zone are acquired in the type of time series data. And then their applications evaluated feature extraction based on the time-frequency-attractor domain(peak to peak, rise time, rise slope, fall time, fall slope, pulse duration, power spectrum, and bandwidth) and attractor characteristics (fractal dimension and attractor quadrant) etc. The proposed neural networks system in this study can enhances performance of ultrasonic signal recognition.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2001년도 춘계학술대회 논문집 유기절연재료 전자세라믹 방전플라즈마 연구회
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• pp.217-220
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• 2001

Fractal mathematics is being highlighted as a research method for classification of image. But the application of Fractal dimension(FD) has been required the complicated calculation method because of its complex repetition progressing. In this paper, it has been applied the new approach method to express FD for aging level calculation and investigated the relative degradation processing in outdoor EPDM insulator. As a result after testing, new proposed method has a capability to estimate in case of the field operated EPDM and accelerating test. Therefore, we find the differency of operated EPDM according to field condition.

• 대한한의학원전학회지
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• 제35권2호
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• pp.17-32
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• 2022

Objectives : To overcome limitations of previous diagnostic systems and constitutional medicine by suggesting a new perspective of constitutional medicine and a system of Yin Yang and Five Phases that is applicable to many diseases untreatable by biomedicine. Methods : The Life Structure Diagram which shows the different distribution of Yin Yang and Five Phases according to constitution, reflects the non-local and simultaneous characteristics of Yin Yang and Five Phases. It overcomes previous diagnostic systems and constitutional medicine which were local and segmented. Each constitutional types were determined through their defining deep fractal pulse patterns, for which appropriate acupuncture methods and formulas were suggested. Results & Conclusions : A more effective differentiation of constitution and treatment could be achieved through the Life Structure Diagram, which could overcome limitations of pre-existing diagnosis and treatments of Korean Medicine.

• Structural Engineering and Mechanics
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• 제72권5호
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• pp.557-568
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• 2019

Accurate modeling of contact interface in bolted joints is crucial in predicting the dynamic behavior for bolted assemblies under external load. This paper presents a contact pressure distribution based non-uniform virtual material method to describe the joint interface of assembly structure, which is connected by sparsely distributed multi-bolts. Firstly, the contact pressure distribution of bolted joints is obtained by the nonlinear static analysis in the finite element software ANSYS. The contact surface around bolt hole is divided into several sub-layers, and contact pressure in each sub-layer is thought to be evenly. Then, considering multi-asperity contact at the micro perspective, the relationship between contact pressure and interfacial virtual material parameters for each sub-layer is established by using the fractal contact theory. Finally, an experimental platform for the dynamic characteristics testing of a beam lap structure with double-bolted joint is constructed to validate the efficiency of proposed method. It is found that the theoretical results are in good agreement with experimental results by impact response in both time- and frequency-domain, and the relative errors of the first four natural frequencies are less than 1%. Furthermore, the presented model is used to examine the effect of rough contact surface on dynamic characteristics of bolted joint.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2000년도 영호남학술대회 논문집
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• pp.34-38
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• 2000

Recently, the ceramics of high permittivity are applied to DRAM and FRAM. In this study, (Ba, Sr)$TiO_3$ (BST) ceramics thin films were prepared by Sol-Gel method. BST solution was made and spin-coated on Pt/$SiO_2$/Si substrate at 4000 [rpm] for 10 seconds. Coated specimens were dried at $150[^{\circ}C]$ for 5 minutes. Coating process was repeated 3 times and then sintered at $750[^{\circ}C]$ for 30 minutes. Each specimen was analyzed structure and electrical characteristics by Fractal Process. Thickness of BST ceramics thin films are about $2000{\AA}$. Dielectric constant and loss of thin films was little decreased at 1[KHz] - 1[MHz]. Dielectric constant and loss to frequency were 250 and 0.02 in BST3. The property of leakage current as the realation between the current and the voltage was that change of the leakage current was stable when the applied voltage was 0~3[V].

• 대한공간정보학회지
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• 제24권4호
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• pp.83-88
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• 2016

일관적인 해안선의 사용은 지자체간의 이해관계와 해상경계를 일관적으로 체계적으로 관리하기 위한 중요한 요소가 된다. 국립해양조사원에서는 일관된 해안선 생산을 위해 2001년 이후 전 국토를 대상으로 전수조사를 시행하였다. 그 결과 체계적인 관리의 미비, 부정확한 자료 등으로 연도별 해안선의 길이는 상이하였다. 또한 지형 표현 방법의 현실화를 위해 해도에 있는 해안선을 수치지형도에 표시하도록 개정[국토지리정보원 수치지형도 작업규정-제19조 제3항]하였으나 다양한 측량기술과 해안선 추출방법에 따른 해안선 길이의 편차(불일치)가 발생하였다. 본 연구에서는 자기유사성의 특성을 가지고 있는 프랙탈 기법인 수정 분할자법(modified divider method)를 사용하여 제주도 해안선 길이 특성을 분석하였다. 적절한 분할자 사용을 위해 수치지형도 작업규정 공공측량 개정안에 있는 벡터화의 정확도를 실제거리로 환산하여 결정하였다. 수행 결과 1:5,000 자료에서 제주시는 1.14, 서귀포시는 1.12이며, 1:25,000 자료에서 제주시는 1.13, 서귀포시는 1.10로 제주시가 복잡한 것을 확인할 수 있었다. 해안선의 길이가 복잡도와 축척에 따라 전체 해안선 대비 산출길이의 비율이 변화하는 것을 확인할 수 있었다. 향후 일관된 해안선 길이 산출을 위해 실제 해안선을 표현할 수 있는 최소 정점 간격에 대한 연구 및 최소 해안선 길이 비율에 대한 기준 제시도 필요할 것으로 판단된다.