• Title/Summary/Keyword: fractal model

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FRACTAL DIMENSION OF SIMULATED SEDIMENTS (모의류사의 쪽거리 차원)

  • 김형수;윤용남
    • Water for future
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    • v.27 no.3
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    • pp.115-121
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    • 1994
  • Cohesie sediment movement in estuarine systems is strongly affected by the phenomena of aggregation and flocculation. Aggregation is the process where primary particles are clustered together in tightly-packed formations; flocculation is the process where aggregates and single particles are bonded together to form large particle groups of very low specific density. The size, shape and strength of the flocculants control the rate of deposition and the processes of pollutant exchange between suspended sediments and ambient water. In estuarine waters, suspended sediments above the lutocline form the mobile suspension zone while below the lutocline they form the stationary suspension zone. Suspended particles in the mobile zone are generally in a dispersed state and the controlling forces are the Brownian motion and the turbulent flow fluctuations. In the stationary suspension zone, the driving force is the gravity. This paper discusses the settling and particle flocculation characteristics under quiescient flow conditions. Particles are entering the study domain randomly. Particles in the mobile suspension zone are simulated by using the Smoluchowski's model. Flocs created in the mobil suspension zone are moving into the stationary suspension zone where viscosity and drag effects are important. Utilizing the concepts of the maximum Feret's diameter and the Minkowski's sausage logic, the fractal dimension of the flocs within the stationary suspension is estimated and then compared with results obtained by other studies.

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Chaotic Analysis of Water Balance Equation (물수지 방정식의 카오스적 분석)

  • 이재수
    • Water for future
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    • v.27 no.3
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    • pp.45-54
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    • 1994
  • Basic theory of fractal dimension is introduced and performed for the generated time series using the water balance model. The water balance equation over a large area is analyzed at seasonal time scales. In the generation and modification of mesoscale circulation local recycling of precipitation and dynamic effects of soil moisture are explicitly included. Time delay is incorporated in the analysis. Depending on the parameter values, the system showed different senarios in the evolution such as fixed point, limit cycle, and chaotic types of behavior. The stochastic behavior of the generated time series is due to deterministic chaos which arises from a nonlinear dynamic system with a limited number of equations whose trajectories are highly sensitive to initial conditions. The presence of noise arose from the characterization of the incoming precipitation, destroys the organized structure of the attractor. The existence of the attractor although noise is present is very important to the short-term prediction of the evolution. The implications of this nonlinear dynamics are important for the interpretation and modeling of hydrologic records and phenomena.

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Chaotic Vibrations of a Cantilevered Beam with Stops to Limit Motions (차단판에 의해 운동이 제한된 외팔보의 혼돈 진동)

  • Choi, Bong-Moon;Ryu, Bong-Jo;Kim, Young-shik;Koo, Kyung-Wan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.12
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    • pp.1852-1865
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    • 2017
  • The vibration of the structures with restrained motion has long been observed in various engineering fields. When the motion of vibrating structure is restrained due to the adjacent objects, the frequencies and the mode shapes of the structure change and its vibration characteristics becomes unpredictable, in general. Although the importance of the study on this type of vibration model increases in many engineering areas, most studies conducted so far are limited to the theoretical study on dynamic responses of the structure with stops, including some experimental works. Specially, the study on the nonlinear phenomena due to the impact between the structure and the stops have been mainly performed theoretically. In the paper, both numerical analyses and experiments are conducted to study the chaotic vibration characteristics of the nonlinear motion and the dynamic response of a cantilevered beam which has restrained motion at the free end by the stops. Results are presented for various magnetic forces and gaps between the beam and stops. The conclusions are as follows : Firstly, Numerical simulation results have a good agreement with experimental ones. Secondly, the effect of higher modes of beams are increased with increasing magnitude of exciting force, and displacement and velocity curves become more complicated shapes. Thirdly, nonlinear characteristics tend to appear greatly with increasing magnitude of exciting force, and fractal dimension is increased.

3-Dimensional ${\mu}m$-Scale Pore Structures of Porous Earth Materials: NMR Micro-imaging Study (지구물질의 마이크로미터 단위의 삼차원 공극 구조 규명: 핵자기공명 현미영상 연구)

  • Lee, Bum-Han;Lee, Sung-Keun
    • Journal of the Mineralogical Society of Korea
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    • v.22 no.4
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    • pp.313-324
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    • 2009
  • We explore the effect of particle shape and size on 3-dimensional (3D) network and pore structure of porous earth materials composed of glass beads and silica gel using NMR micro-imaging in order to gain better insights into relationship between structure and the corresponding hydrologic and seismological properties. The 3D micro-imaging data for the model porous networks show that the specific surface area, porosity, and permeability range from 2.5 to $9.6\;mm^2/mm^3$, from 0.21 to 0.38, and from 11.6 to 892.3 D (Darcy), respectively, which are typical values for unconsolidated sands. The relationships among specific surface area, porosity, and permeability of the porous media are relatively well explained with the Kozeny equation. Cube counting fractal dimension analysis shows that fractal dimension increases from ~2.5-2.6 to 3.0 with increasing specific surface area from 2.5 to $9.6\;mm^2/mm^3$, with the data also suggesting the effect of porosity. Specific surface area, porosity, permeability, and cube counting fractal dimension for the natural mongolian sandstone are $0.33\;mm^2/mm^3$, 0.017, 30.9 mD, and 1.59, respectively. The current results highlight that NMR micro-imaging, together with detailed statistical analyses can be useful to characterize 3D pore structures of various porous earth materials and be potentially effective in accounting for transport properties and seismic wave velocity and attenuation of diverse porous media in earth crust and interiors.

A Study on the Application of 3D Digital Animation Model for Fashion Design I (3D 디지털 애니메이션 모델을 활용한 의상 시뮬레이션에 관한 연구 I)

  • 김혜영
    • Journal of the Korean Society of Costume
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    • v.50 no.2
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    • pp.97-109
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    • 2000
  • The purpose of this study is to apply 3D computer graphics in fashion design as a creative medium and it attempts to fine out what advantages 3D technique can offer to fashion design. For this purpose, this study, first, tries to develop a 3D digital model in which designer can select design, color , pattern and fabric palette whatever necessary . This study uses of the software named 'Poser of Fractal Design' and the and the 3D digital model comprises four stages ; body modeling, item design (item coordination), color design (color coordination), pattern and fabric design (pattern and fabric coordination). Secondly, this study seeks to accumulate a data base which was produced in the course of case studies, which have applied 3D digital model to design. The outcome of the case studies shows that 3D digital model can enhance designing in the following four aspects. ⅰ) It can give more freedom to designer to try various ideas, revise and modify them, It can also produce random generation. Through this process, the designer test various input and output without damage on fabric after revision and alteration. ⅱ) It can help designers to enhance their accuracy. Since fault in the design developed by the 3D digital model can be detected in advance, designers can make correlation before actual work begins. In the end, designers can express their ideas and intention accurately as well as freely. ⅲ) Since design developed by the 3D digital model can be shared on screen by various actors in the course of priduction such designers , merchandisers, and supervisors, it can help communication between and cut the time of feedback.ⅳ) By using the 3D digital model, designers can work from the begining with awareness of actual outcome their design, since the 3D digital model provide animation, which helps designers to envisage visual changes as they apply various items, colors, pattern and fabrics.

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A Study on the Compression Ratio of Fractal-based Color Image Using YIQ Model (YIQ 모델을 사용한 프랙탈 기반 칼라 영상의 압축률에 관한 연구)

  • Kim, Seong-Jong;Sin, In-Cheol
    • The Transactions of the Korea Information Processing Society
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    • v.5 no.1
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    • pp.215-222
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    • 1998
  • 프랙탈을 기반으로 한 칼라 영상 부호화는 영상을 RGB,YIQ나 CMYK와 같은 기본적인 채널로 분리한 후, 각각의 채널을 독립적으로 프랙탈 이진 영상 부호화 기법에 적용함으로써 쉽게 부호화할 수 있다. 그러나 이 방법은 각각의 채널에 대해 부호화를 반복해야 하기 때문에 많은 계산 시간이 필요하다는 단점이 있다. 본 논문에서는 이러한 단점을 개선하기 위하여 국부적 지역 탐색법을 사용하였으며, 압축률 향상을 위해 각 채널마다 사람의 눈에 느껴지는 민감성의 정도가 다른 YIQ 모델을 사용하여 I나 Q 채널보다 Y채널에 더 많은 비트를 할당하였다. 각각의 치역 블록에 대하여 Y채널에 가장 잘 매칭이 되는 정의역 블록을 찾았으며, I와 Q 채널을 위해서는 잘 매칭이 되는 대응 블록을 이용하였다. 따라서 각각의 YIQ채널을 위한 최적의 변환식을 계산하는 과정에서 단지 하나의 기하학적인 변환식(변환과 선택된 정의역 블록의 주소)만이 필요할 뿐이다. 이러한 접근 방법은 기존의 부호화 방법들과 비교해 볼 때 부호화 시간의 단축과 압축률 향상을 동시에 얻을 수 있다.

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Dual-porosity fractal model with parallel fracture and blocky fracture flow (판상체 및 입방체 이중공극 프랙탈 모델의 지하수위 거동)

  • 함세영
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 1998.11a
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    • pp.127-130
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    • 1998
  • 이 연구에서는 부정류의 판상체 이중공극 프랙탈 모델과 입방체 이중공극 프랙탈 모델의 지하수위 거동을 비교 연구하였다. 균열내 지하수위 거동 해석은 판상 이중공극 프랙탈 모델은 Hmm과 Bidaux(1996)을 이용하였고 입방체 이중공극 프랙탈 모델의 경우에는 입방체블록과 같은 크기의 구상체 블록으로 간주하여 지하수위 거동을 해석하였다. 그리고 0.5, 1, 1.5, 2, 2.5, 3차원에 대해서 판상체 이중공극 프랙탈 모델과 입방체 이중공극 프랙탈 모델의 이론적인 수위강하 곡선을 작성하여 비교, 분석하였다. 부정류의 판상체 이중공극 프랙탈 모델과 입방체 이중공극 프랙탈 모델은 기반암내 균열의 분포가 프랙탈망을 형성하고, 균열과 매트릭스 블록이 거의 수평의 층상으로 발달하는 경우와 균열이 수평방향과 수직방향으로 발달하면서 매트릭스 블록이 입방체를 이루는 경우에 적용될 수 있다.

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Vibration Characteristics of a Cantilevered Beam with Restrained Motions (제한된 운동을 갖는 외팔보의 진동특성)

  • 최봉문;류봉조;윤충섭
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.05a
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    • pp.578-582
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    • 2000
  • When the motion of vibrating structure is restrained due to the adjacent objects, the frequencies and the mode shapes of the structure change and its vibration characteristics becomes unpredictable, in general. Although the importance of the study on this type of vibration model increases in many engineering areas, most studies conducted so far are limited to the theoretical study on dynamic responses of the structure with the separation plate, including some experimental works. In the paper, both numerical analyses and experiments are conducted to study the chaotic vibration characteristics and the dynamic response of a fixed-free beam which has restrained motion at the free end by the separation plates. Results are presented for various magnetic forces and gaps between stops.

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Permeability, crossflow and storativity effects in two-layer aquifer system with fractional flow dimension (분할유동차원 2층 대수층에서의 투수성, 층간흐름, 저류성의 효과)

  • 함세영
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2000.11a
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    • pp.81-84
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    • 2000
  • Two-layer aquifer system with fractional flow dimension is composed of contiguous two layers: Layer 1 (lower layer) and Layer 2 (upper layer) with different permeability and specific storage each other. For this aquifer system, we assume that groundwater flow originates only from Layer 1 on the pumping well. The aquifer system considers wellbore storage and skin effects on the pumping well. Dimensionless drawdown curves for different flow dimensions are analyzed for different lambda (λ, crossflow coefficient) values, kappa ($textsc{k}$, permeability ratio between Layer 1 and Layer 2) values and omega ($\omega$, storativity ratio between Layer 1 and Layer 2) values. The curves for Layer 1 and Layer 2 show characteristic trend each other.

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Chaotic analysis of tool wear using multi-sensor signal in end-milling process (엔드밀가공시 복합계측 신호를 이용한 공구 마멸의 카오스적 해석)

  • Kim, J.S.;Kang, M.C.;Ku, S.J.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.11
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    • pp.93-101
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    • 1997
  • Ever since the nonlinearity of machine tool dynamics was established, researchers attempted to make use of this fact to devise better monitoring, diagnostics and control system, which were hitherto based on linear models. Theory of chaos which explains many nonlinear phenomena comes handy for furthering the analysis using nonlinear model. In this study, measuring system will be constructed using multi-sensor (Tool Dynamometer, Acoustic Emission) in end milling process. Then, it will be verified that cutting force is low-dimensional chaos by calculating Lyapunov exponents. Fractal dimension, embedding dimension. And it will be investigated that the relation between characteristic parameter calculated from sensor signal and tool wear.

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