• Title/Summary/Keyword: Fractal structure

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Light scattering from restructured colloidal silica aggregates (재구조화된 콜로이드 실리카 응집체에 대한 광 산란)

  • 임영훈
    • Korean Journal of Optics and Photonics
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    • v.3 no.3
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    • pp.167-171
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    • 1992
  • We present the static and dynamic light scattering results of the salt induced restructured colloidal silica aggregates. We also report the results from the transmission electron micrographs which confirms the individual sizes of the particles and the local structure of the ramified aggregates. The fractal dimensions of the restructuring silica aggregates are considerably different with in-situ light scattering measurements. The measured fractal dimensions, $D_{F}$, is 2.21 for the 0.5 wt.% concentration of the salt induced Ludox-AM. The Rayleigh linewidth for 0.1 wt.% concentration of Ludox-AM is discussed.

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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.

Dual-Band Array Antenna Using Modified Sierpinski Fractal Structure (변형된 Sierpinski 프랙탈 구조를 갖는 이중 대역 배열 안테나)

  • Oh, Kyung-hyun;Kim, Byoung-chul;Cheong, Chi-hyun;Kim, Kun-woo;Lee, Duk-young;Choo, Ho-sung;Park, Ik-mo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.21 no.9
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    • pp.921-932
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    • 2010
  • This paper presents a dual-band array antenna based on a modified Sierpinski fractal structure. Array structure is mirror symmetric, and forms broadside radiation pattern for dual frequency band if the ports are fed with $180^{\circ}C$ phase difference between upper and lower $2{\times}1$ array. To use in-phase corporate feeding circuit, the phase inversion structure is designed by changing the position of patch and ground for upper and lower array. The dimensions of the array antenna is $28{\times}30{\times}5\;cm^3$ and the bandwidth of 855~1,380 MHz(47 %), 1,770~2,330 MHz(27 %) were achieved for -10 dB return loss. The measured gain is 9.06~12.44 dBi for the first band and 11.76~14.84 dBi for the second band. The half power beam width is $57^{\circ}$ for x-z plane and $46^{\circ}$ for y-z plane at 1,100 MHz and $43^{\circ}$ and $28^{\circ}$ at 2,050 MHz, respectively.

An Analysis on the Lateral Displacement of Earth Retaining Structures Using Fractal Theory (플랙탈 이론을 이용한 흙막이 벽체 수평변위 분석)

  • Lee, Chang-No;Jung, Kyoung-Sik;Koh, Hyung-Seon;Park, Heon-Sang;Lee, Seok-Won;Yu, Chan
    • Journal of the Korean Geotechnical Society
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    • v.31 no.4
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    • pp.19-29
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    • 2015
  • Nowadays, the importance of the information management of construction sites to achieve the goal of safety construction. This management uses the collaborated analysis of in-situ monitoring data and numerical analysis, especially of an earth retaining structures of excavation sites. In this paper, the fractal theory was applied to actually monitored data from various excavation sites to develop the alternative interpolation technique which could predict the displacement behavior of unknown location around the monitoring locations and the future behavior of the monitoring locations with the steps of excavation. Data, mainly from inclinometer, were collected from various sites where retaining structures were collapsed during construction period, as well as from normal sites with the characteristics of geology, excavation method etc. In the analyses, Hurst exponent (H) was estimated with monitored periods using the Rescaled range analysis (R/S analysis) method applying the H in simulation processes. As the results of the analyses, Hurst exponents were ranged from 0.7 to 0.9 and showed the positive correlation of H > 1/2. The simulation processes, then, with the Hurst exponent estimated by Rescaled range analysis method showed reliable results. In addition, it was also expected that the variation of Hurst exponents with the monitoring period could instruct the abnormal behavior of an earth retaining structures to directors or operators. Therefore it was concluded that fractal theory could be applied for predicting the lateral displacement of unknown location and the future behavior of an earth retaining structures to manage the safety of construction sites during excavation period.

Multi-Scaling Models of TCP/IP and Sub-Frame VBR Video Traffic

  • Erramilli, Ashok;Narayan, Onuttom;Neidhardt, Arnold;Saniee, Iraj
    • Journal of Communications and Networks
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    • v.3 no.4
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    • pp.383-395
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    • 2001
  • Recent measurement and simulation studies have revealed that wide area network traffic displays complex statistical characteristics-possibly multifractal scaling-on fine timescales, in addition to the well-known properly of self-similar scaling on coarser timescales. In this paper we investigate the performance and network engineering significance of these fine timescale features using measured TCP anti MPEG2 video traces, queueing simulations and analytical arguments. We demonstrate that the fine timescale features can affect performance substantially at low and intermediate utilizations, while the longer timescale self-similarity is important at intermediate and high utilizations. We relate the fine timescale structure in the measured TCP traces to flow controls, and show that UDP traffic-which is not flow controlled-lacks such fine timescale structure. Likewise we relate the fine timescale structure in video MPEG2 traces to sub-frame encoding. We show that it is possibly to construct a relatively parsimonious multi-fractal cascade model of fine timescale features that matches the queueing performance of both the TCP and video traces. We outline an analytical method ta estimate performance for traffic that is self-similar on coarse timescales and multi-fractal on fine timescales, and show that the engineering problem of setting safe operating points for planning or admission controls can be significantly influenced by fine timescale fluctuations in network traffic. The work reported here can be used to model the relevant characteristics of wide area traffic across a full range of engineering timescales, and can be the basis of more accurate network performance analysis and engineering.

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One-Pot Electrochemical Synthesis of Hierarchical Porous Niobium

  • Joe, Gihwan;Shin, Heon-Cheol
    • Journal of Electrochemical Science and Technology
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    • v.12 no.2
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    • pp.257-265
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    • 2021
  • In this study, we report niobium (Nb) with hierarchical porous structure produced by a one-pot, HF-free electrochemical etching process. It is proved experimentally that a well-defined hierarchical porous structure is produced from the combination of a limited repetition of pulse etching and high concentration of aggressive anion (i.e., SO42-), which results in hierarchical pores with high order over 3. A formula is derived for the surface area of porous Nb as a function of the hierarchical order of pores while the experimental surface area is estimated on the basis of the electrochemical gas evolution rate on porous Nb. From the comparison of the theoretical and experimental surface areas, an in-depth understanding was gained about porous structure produced in this work in terms of the actual pore shape and hierarchical pore order.

Computer Tomography as a Tool for Physical Analysis in an Anthropogenic Soil

  • Chun, Hyen Chung;Park, Chan Won;Sonn, Yeon Kyu;Cho, Hyun Joon;Hyun, Byung Keun;Song, Kwan Cheol;Zhang, Yong Seon
    • Korean Journal of Soil Science and Fertilizer
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    • v.46 no.6
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    • pp.549-555
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    • 2013
  • Human influence on soil formation has dramatically increased as the development of human civilization and industry. Increase of anthropogenic soils induced research of those soils; classification, chemical and physical characteristics and plant growth of anthropogenic soils. However there have been no reports on soil pore properties from the anthropogenic soils so far. Therefore the objectives of this study were to test computer tomography (CT) to characterize physical properties of an anthropogenic paddy field soil and to find differences between natural and anthropogenic paddy field soils. Soil samples of a natural paddy field were taken from Ansung, Gyeonggi-do (Ansung site), and samples of an anthropogenic paddy field were from Gumi in Gyeongsangnam-do (Gasan) where paddy fields were remodeled in 2011-2012. Samples were taken at three different depths and analyzed for routine physical properties and CT scans. CT scan provided 3 dimensional images to calculate pore size, length and tortuosity of soil pores. Fractal analysis was applied to quantify pore structure within soil images. The results of measured physical properties (bulk density, porosity) did not show differences across depths and sites, but hardness and water content had differences. These differences repeated within the results of pore morphology. Top soil samples from both sites had greater pore numbers and sizes than others. Fractal analyses showed that top soils had more heterogeneous pore structures than others. The bottom layer of the Gasan site showed more degradation of pore properties than ploughpan and bottom layers from the Ansung site. These results concluded that anthropogenic soils may have more degraded pore properties as depth increases. The remodeled paddy fields may need more fundamental remediation to improve physical conditions. This study suggests that pore analyses using CT can provide important information of physical conditions from anthropogenic soils.

Anatomical variations of trabecular bone structure in intraoral radiographs using fractal and particles count analyses

  • Amer, Maha Eshak;Heo, Min-Suk;Brooks, Sharon L.;Benavides, Erika
    • Imaging Science in Dentistry
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    • v.42 no.1
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    • pp.5-12
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    • 2012
  • Purpose : This study was performed to evaluate possible variations in maxillary and mandibular bone texture of normal population using the fractal analysis, particles count, and area fraction in intraoral radiographs. Materials and Methods : Periapical radiographs of patients who had full mouth intraoral radiographs were collected. Regions of interest ($100{\times}100$ pixels) were located between the teeth of the maxillary anterior, premolar, and molar area, as well as the mandibular anterior, premolar, and molar areas. The fractal dimension (FD) was calculated by using the box counting method. The particle count (PC) and area fraction (AF) analyses were also performed. Results : There was no significant difference in the FD values among the different groups of age, gender, upper, and lower jaws. The mean FD value was $1.49{\pm}0.01$. The mean PC ranged from 44 to 54, and the mean AF ranged from 10.92 to 11.85. The values of FD, PC, and AF were significantly correlated with each other except for the upper molar area. Conclusion : According to the results, patients with normal trabecular pattern showed a FD of approximately 1.5. Based on these results, further investigation would be recommended if the FD value of patient significantly differenct from this number, since the alteration of this value indicates microstructural modification of trabecular pattern of the jaws. Additionally, with periapical radiographs, simple and cost-effective, PC and AF could be used to assess the deviation from the normal.

ON THE DISCREPANCY OF CORONAL MAGNETIC FIELDS IN SOLAR OPTICS AND RADIO

  • MA YUE-HuA;LI XIAO-QING
    • Journal of The Korean Astronomical Society
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    • v.29 no.spc1
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    • pp.309-311
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    • 1996
  • It is analysed the discrepancy about the coronal magnetic field between solar optic and solar radio using magnetic fibril concept with filling factor and fractal structure model. The magnetic field of $\~$ 100 G considered in solar optics is mean value in a large scale, and that of $\~$1000 G in solar should be the value of fine structures inside 'macro' loop.

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