• 제목/요약/키워드: Fractal Theory

검색결과 141건 처리시간 0.02초

멀티스케일 해석을 통한 히스테리시스 고무 마찰 예측 연구 (Predictive Study of Hysteretic Rubber Friction Based on Multiscale Analysis)

  • 남승국;오염락;전성희
    • Tribology and Lubricants
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    • 제30권6호
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    • pp.378-383
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    • 2014
  • This study predicts the of the hysteretic friction of a rubber block sliding on an SMA asphalt road. The friction of filled rubber on a rough surface is primarily determined by two elements:the viscoelasticity of the rubber and the multi-scale perspective asperities of the road. The surface asperities of the substrate exert osillating forces on the rubber surface leading to energy dissipation via the internal friction of the rubber when rubber slides on a hard and rough substrate. This study defines the power spectra at different length scales by using a high-resolution surface profilometer, and uses rubber and road surface samples to conduct friction tests. I consider in detail the case when the substrate surface has a self affine fractal structure. The theory developed by Persson is applied to describe these tests through comparison with the hysteretic friction coefficient relevant to the energy dissipation of the viscoelastic rubber attributable to cyclic deformation. The results showed differences in the absolute values of predicted and measured friction, but with high correlation between these values. Hence, the friction prediction model is an appropriate tool for separating the effects of each factor. Therefore, this model will contribute to clearer understanding of the fundamental principles of rubber friction.

Real-time online damage localisation using vibration measurements of structures under variable environmental conditions

  • K. Lakshmi
    • Smart Structures and Systems
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    • 제33권3호
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    • pp.227-241
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    • 2024
  • Safety and structural integrity of civil structures, like bridges and buildings, can be substantially enhanced by employing appropriate structural health monitoring (SHM) techniques for timely diagnosis of incipient damages. The information gathered from health monitoring of important infrastructure helps in making informed decisions on their maintenance. This ensures smooth, uninterrupted operation of the civil infrastructure and also cuts down the overall maintenance cost. With an early warning system, SHM can protect human life during major structural failures. A real-time online damage localization technique is proposed using only the vibration measurements in this paper. The concept of the 'Degree of Scatter' (DoS) of the vibration measurements is used to generate a spatial profile, and fractal dimension theory is used for damage detection and localization in the proposed two-phase algorithm. Further, it ensures robustness against environmental and operational variability (EoV). The proposed method works only with output-only responses and does not require correlated finite element models. Investigations are carried out to test the presented algorithm, using the synthetic data generated from a simply supported beam, a 25-storey shear building model, and also experimental data obtained from the lab-level experiments on a steel I-beam and a ten-storey framed structure. The investigations suggest that the proposed damage localization algorithm is capable of isolating the influence of the confounding factors associated with EoV while detecting and localizing damage even with noisy measurements.

자연법칙으로서 기하학과 공간 개념의 전개에 관한 연구 - 화이트헤드의 자연법칙 학설을 중심으로 - (A Study on the Development of Geometry as the Natural Laws and the Concepts of Space - Focus on the Whitehead's theories of natural laws -)

  • 황태주
    • 한국실내디자인학회논문집
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    • 제19권2호
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    • pp.90-98
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    • 2010
  • The concepts of laws like regularity or persistence or recurrence those are discovered in nature, became the essential elements in speculative philosophy, study and scientific technology. Western civilization was spread out by these natural laws. As this background, this study is aimed to research the theories of natural laws and the development of geometry as the descriptive tools and the development aspects of the concepts of space. According to Whitehead's four theories on the natural laws, the result of this study that aimed like that as follows. First, the theories on the immanence and imposition of the natural laws were the predominant ideas from ancient Greek to before the scientific revolution, the theory on the simple description like the positivism made the Newton-Cartesian mechanism and an absolutist world view. The theory on the conventional interpretation made the organicism and relativism world view according to non-Euclidean geometry. Second, the geometrical composition of ancient Greek architecture was an aesthetics that represented the immanence of natural laws. Third, in the basic symbol of medieval times, the numeral symbol was the frame of thought and was an important principal of architecture. Fourth, during the Renaissance, architecture was regarded as mathematics that made the order of universe to visible things and the geometry was regarded as an important architectural principal. Fifth, according to the non-Euclidean geometry, it was possible to present the natural phenomena and the universe. Sixth, topology made to lapse the division of traditional floor, wall and ceiling in contemporary architecture and made to build the continuous space. Seventy, the new nature was explained by fractal concepts not by Euclidean shapes, fractal presented that the essence of nature had not mechanical and linear characteristic but organic and non-linear characteristic.

조선시대 여성저고리의 그리드체계 (The Grid System of Women's Jeogori in Joseon Dynasty)

  • 한은혜
    • 복식
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    • 제62권6호
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    • pp.200-217
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    • 2012
  • The purpose of this research is to examine the specificity of grids to define the characteristics of clothes styles in the Joseon Dynasty period. The significance of examining of the specificity of grids is to find out arbitrary types of the features of grids involved in structuring the Jeogori in the Joseon Dynasty period one by one. The Visual Linguistic Theory was introduced as a methodological tool to exquisitely analyze the characteristics of grids in deep structures of Jeogori in the Joseon Dynasty period. This theory strives to examine sample distribution, the distribution of samples by quality and the distribution of the types of ploidy features. Through the examination, the results are as follows. The grid systems of the Jeogori consisted of diverse proportion systems reaching 86 cases, that is, sequence systems composed of multi-functional, multi-combined bodies. Most ornamental grids had feature angles distributed in a range of $2-20^{\circ}$ that showed a common preference for low sloped diagonal lines or small curvature. Although the preference for certain feature angles were prominent, the feature angles that were used were generally distributed evenly among diverse feature angles to show the characteristics of separation. Therefore, Jeogori makers in the Joseon Dynasty period can be considered as having experimented with many proportion systems to show their aesthetics. In conclusion, based on the results of the examination of feature distributions and related methods to allocate ploidy features, O-type accounted for 66% and thus it was identified that the Jeogori was characterized by O-type. Therefore, it was identified that the characteristic of the Jeogori in the Joseon Dynasty period consisted of O-type fractal structures which are formative structures unique to our nation.

카오스 이론을 이용한 고정도 문자 인식 시스템 (High Precision Character Recognition System using The Chaos Theory)

  • 손영우
    • 한국멀티미디어학회논문지
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    • 제4권6호
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    • pp.518-523
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    • 2001
  • 미세한 차이를 고감도 식별하는 카오스 이론의 프랙탈 차원과 에농 시스템에서 발생하는 이상한 끌개(Strange Attractor)를 이용하여 문자 특징을 추출, 문자 인식에 적용하는 새로운 방법을 제안함으로써 일반문자 뿐만 아니라, 문자들의 유사성에 의해 오인식되는 혼동 문자를 프랙탈 차원 해석에 의해 해소하는 고정도 문자 인식 시스템을 구현한다. 먼저, 문자 영상으로부터 문자의 고유 성질을 나타내는 망 특징 및 투영 특징, 교차거리 특징 등을 1차 구한 후, 이들 특징을 시계열 데이터로 변환한 다음, 이를 본 논문에서 제안한 수정된 에농 시스템을 이용하여, KS C 5601 표준 한글 2,350자에 대 한 각각의 문자 어트랙터를 재구성한다. 다음 단계에서는 개별 문자 어트랙터의 혼돈도를 분석하기 위해 각각의 문자에 대하여, 프랙탈 차원을 나타내는 정보 차원값(Box-counting Dimension, Natural Measure, Information Bit, Information Dimension)을 계산하여 문자 영상의 최종 특징을 구한다. 실험결과 한글 2,350자에 대하여 99.49%은 분류율을 나타내어 제안된 방법의 유효성을 보였다.

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A new approach for quantitative damage assessment of in-situ rock mass by acoustic emission

  • Kim, Jin-Seop;Kim, Geon-Young;Baik, Min-Hoon;Finsterle, Stefan;Cho, Gye-Chun
    • Geomechanics and Engineering
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    • 제18권1호
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    • pp.11-20
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    • 2019
  • The purpose of this study was to propose a new approach for quantifying in situ rock mass damage, which would include a degree-of-damage and the degraded strength of a rock mass, along with its prediction based on real-time Acoustic Emission (AE) observations. The basic approach for quantifying in-situ rock mass damage is to derive the normalized value of measured AE energy with the maximum AE energy, called the degree-of-damage in this study. With regard to estimation of the AE energy, an AE crack source location algorithm of the Wigner-Ville Distribution combined with Biot's wave dispersion model, was applied for more reliable AE crack source localization in a rock mass. In situ AE wave attenuation was also taken into account for AE energy correction in accordance with the propagation distance of an AE wave. To infer the maximum AE energy, fractal theory was used for scale-independent AE energy estimation. In addition, the Weibull model was also applied to determine statistically the AE crack size under a jointed rock mass. Subsequently, the proposed methodology was calibrated using an in situ test carried out in the Underground Research Tunnel at the Korea Atomic Energy Research Institute. This was done under a condition of controlled incremental cyclic loading, which had been performed as part of a preceding study. It was found that the inferred degree-of-damage agreed quite well with the results from the in situ test. The methodology proposed in this study can be regarded as a reasonable approach for quantifying rock mass damage.

시각디자인에 있어서 비선형적 구조에 관한 연구 (A Study of Nonlinear Structure in Visual Design)

  • 정원일
    • 디자인학연구
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    • 제11권2호
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    • pp.167-176
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    • 1998
  • 현대 사회는 서구의 자연과학에 바탕을 둔 환원주의적 사고로는 해결할 수 없는 많은 문제점을 담고 있다. 지금까지는 경험론이나 합리론의 바탕 위에 결정론적 세계관을 이루어 왔는데 이것은 일종의 기계론적 세계관이라 할 수 있다. 그러나 20세기 이후 자연과학 분야에서는 전통적인 결정론에 반기를 들었고, 다원주의적 사고가 대두되게 되었다. 즉 포스트모더니티 라는 이름으로 서구의 이성이 해체되기 시작했고, 새로운 사고가 필요하게 되었다. 이러한 새로운 패러다임은 디자인에도 영향을 끼치게 되었고 모던디자인의 한계를 극복하는 차원에서 연구되었다.

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풍화잔류토의 생성모델의 제안 (A Proposal of a Model for the Generation of Weathered Residual Soils)

  • 민덕기;이완진
    • 한국지반공학회논문집
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    • 제20권9호
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    • pp.47-56
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    • 2004
  • 본 연구에서는 풍화잔류토의 생성을 특성화시키는 새로운 분열모델을 제안하였으며, GRS모델이라고 명명하였다. GRS 모델은 풍화가 많이 진행될수록 흙 입자의 크기가 작아지고 흙 속의 간극이 많아진다는 사실에 착안하였으며, 프랙탈 이론으로부터 도출된 $P_F$(분열가능성)로써 풍화잔류토의 생성과정을 표현할 수 있다. 암석이 분열됨으로써 흙 입자들이 생성되며 암석의 분열은 단계별로 진행되지만 각 단계별 분열가능성은 일정하지 않다는 것이 GRS모델의 기본개념이다. GRS모델의 적용성을 검증한 결과, 입자들의 잔류량이 많은 입경에서 $P_{Fi}$(분열단계별 분열가능성)가 작게 산출되었고, 입도분포가 양호할수록 크게 산출되었다. 일반적인 흙에서 나타나는 S자형상의 입도분포곡선은 $P_{Fi}$가 높은 오목형상에서 나타났으며, $P_{Fi}$의 변화형상이 볼록하면서 높은 값을 가질경우에는 빈입도의 입도분포특성을 나타내었다. 전반적으로 $P_{Fi}$가 작은 경우에는 $P_{Fi}$의 변화형상에 관계없이 큰 입자의 잔류량이 많은 오목한 형상의 입도분포곡선을 나타내었다. $P_{Fi}$의 평균값은 균등계수$(C_u)$와 분열프랙탈차원$(D_r)$에 비례하여 증가하였으나, 곡률계수$(C_C)$와는 무관하였다.

학습복잡계 기반의 공학적 글쓰기 교수 방법 연구 (Research On Technical Writing Educational Methods Based On Complex Learning Systems)

  • 김혜경;김차종
    • 한국정보통신학회논문지
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    • 제14권7호
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    • pp.1521-1528
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    • 2010
  • 본 논문은 학습복잡계 이론의 시각에 근거하여 공학적 글쓰기의 관계 및 교수방법을 고찰한 것이다. 이를 위해 학습복잡계 이론의 구성요소와 특징을 살펴보고 새로운 글쓰기 교육의 가능성을 검토해보았다. 그 결과 공학적 글쓰기교육의 접근 방법이 확장되었을 뿐만 아니라 교육적 실현 가능성이 탐색되었다. 이는 새로운 공학적 글쓰기 교수학습의 가능성을 여는 계기가 될 것이다. 또한 이와 관련하여 앞으로 구체적인 사례 연구와 교재개발 등이 체계적 진행되어야 할 것을 제안하고 있다.

연안역와동확산: 관측 및 프랙탈 확산 모델링 (Eddy Diffusion in Coastal Seas: Observation and Fractal Diffusion Modelling)

  • 이문진;강용균
    • 한국해안해양공학회지
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    • 제9권3호
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    • pp.115-124
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    • 1997
  • 동일지점에 투하한 여러개 표류부표 사이의 이격거리 관측방법을 사용하여 한국 연안 여러곳에서 와동확산의 분산을 측정하고 ‘확산계수’를 산정하였다. 시간이 경과함에 따라 와동확산의 분산은 t$^{m}$ 에 비례하여 증가 하였는데, 여기서 시간지수승 m은 1.5와 3.5범위의 비정수 값으로 나타났다. 실측된 분산의 시간지수승 관계는 와동확산계수를 상수로 두는 확산모델링 방법에서는 재현되지 않는다. 본 논문에서는 프랙탈 이론을 도입하여 와동확산에 에 따른 분산의 지수승 관계를 시뮬레이트하였다. 본 논문의 프랙탈 확산모델에서는 가우스소음 대신에 프랙탈 가우스소음(fGn)을 와동확산에 따른 임의행보 과정에 적용하였다. 이 모델에서 프랙탈 브라운운동(fBm)으로 표현되는 와동확산의 분산은 시간 t에 대하여 t$^{2H}$와 같이 나타났는데, 여기서 H는 허스트 지수(Hurst exponent)이다. 본 논문의 프랙탈 확산모델은 시간지수승이 1과 2범위인 와동확산 분산을 잘 재현하였지만, 시간지수승이 2가 넘는 경우는 재현되지 않는다. 시간지수승이 2이상인 경우는 평균류의 유속전단(velocity shear)에 기인한다.다.

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