• Structural Engineering and Mechanics
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• 제28권4호
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• pp.387-410
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• 2008

The fatigue damage accumulation rates of horizontally curved thin walled box-girder bridge have been estimated from vehicle-induced dynamic stress history using rain flow cycle counting method in the time domain approach. The curved box-girder bridge has been numerically modeled using computationally efficient thin walled box-beam finite elements, which take into account the important structural actions like torsional warping, distortion and distortional warping in addition to the conventional displacement and rotational degrees of freedom. Vehicle model includes heave-pitch-roll degrees of freedom with longitudinal and transverse input to the wheels. The bridge deck unevenness, which is taken as inputs to the vehicle wheels, has been assumed to be a realization of homogeneous random process specified by a power spectral density (PSD) function. The linear damage accumulation theory has been applied to calculate fatigue life. The fatigue life estimated by cycle counting method in time domain has been compared with those found by estimating the PSD of response in frequency domain. The frequency domain method uses an analytical expression involving spectral moment characteristics of stress process. The effects of some of the important parameters on fatigue life of the curved box bridge have been studied.

• 제어로봇시스템학회논문지
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• 제22권9호
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• pp.710-715
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• 2016

Due to its simplicity and high reliability, the box-counting(BC) method is one of the most frequently used techniques to estimate the fractal dimensions of a binary image with a self-similarity property. The fractal calculation requires data sampling that determines the size of boxes to be sampled from the given image and directly affects the accuracy of the fractal dimension estimation. There are three non-overlapping regular grid methods: geometric-step method, arithmetic-step method and divisor-step method. These methods have some drawbacks when the image size M becomes large. This paper presents a BC algorithm for enhancing the accuracy of the fractal dimension estimation based on a new sampling method. Instead of using the geometric-step method, the new sampling method, called the coverage ratio-step method, selects the number of steps according to the coverage ratio. A set of experiments using well-known fractal images showed that the proposed method outperforms the existing BC method and the triangular BC method.

• 한국정밀공학회지
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• 제16권12호
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• pp.143-151
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• 1999

The shape of surface micro-crack is very irregular due to nonhomogeneous microstructure but is very important in respect to qualitative estimation of fatigue life. Fractal geomety can quantify the shape of surface mciro-crack. Fractal dimension is measured for surface micro-cracks with coast line and box counting method and estimates cycle ration in Al 2024-T3. The average fractal dimension $D_{favg}$ of surface micro-cracks has 3-parameter weibull distribution and location parameter is nearly constant but shape parameter decreases as cycle ration increases. The fractal dimension by coast line method is measured for individual surface micro-crack but the fractal dimension by box countin method is measured for all the surface micro-cracks under sampling area. Therefore, This paper shows fractal dimension $D_{fb}$ can predict cycle ratio $N/N_f$ more convenient than fractal dimension $D_{favg}$.

• 대한자원환경지질학회:학술대회논문집
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• 대한자원환경지질학회 2005년도 춘계 학술발표회 논문집
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• pp.160-160
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• 2005

• Journal of Electrical Engineering and Technology
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• 제6권3호
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• pp.391-396
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• 2011

The tracking pattern formed on the dielectric surface due to a surface electrical discharge exhibits fractal structure. In order to quantitatively investigate the fractal characteristics of the surface tracking pattern, the dielectric breakdown model has been employed to numerically generate the surface tracking pattern. In dielectric breakdown model, the pattern growth is determined stochastically by a probability function depending on the local electric potential difference. For the computation of the electric potential for all points of the lattice, a two-dimensional discrete Laplace equation is solved by mean of the successive over-relaxation method combined to the Gauss-Seidel method. The box counting method has been used to calculate the fractal dimensions of the simulated patterns with various exponent $\eta$ and breakdown voltage $\phi_b$. As a result of the simulation, it is found that the fractal nature of the surface tracking pattern depends strongly on $\eta$ and $\phi_b$.

• 한국안전학회지
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• 제17권4호
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• pp.38-44
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• 2002

The application of fractal concept provides an useful method in the study for the quantitative analysis of irregular variations like the fracture surfaces and crack profiles. Fractal curves have characteristics that represents a self-similarity based on the fractal dimension. The fractal dimensions were obtained by the box counting method. In this report, we obtained the nearly stable fractal dimensions of fracture crack profiles for STS316 with CT specimen as the crack advances and the relationships between crack length and fractal dimension. Moreover fractal fracture parameter that corresponds to J-R curve is shown by the relationships between fractal dimension and crack extension. From the results, we concluded that crack extension of high toughness material also shows the fractal characteristics, which can be used in order to evaluate the crack life precisely.

• Journal of Advanced Marine Engineering and Technology
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• 제22권4호
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• pp.522-528
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• 1998

This paper presents a fundamental fractal characteristics of the growing crack that has an irregularity producing a zigzag crack contour. This irregularity is analysed by a fractal geometry in a box counting method that is a very simple technique. First the fractal dimensions and actual fractal extensive crack length are obtained. Also a fractal fracture energy relation with a fractal dimension is found so as to get fractal crack behaviors. Thus it can be shown that the fractal dimension has a possibility as a fracture parameter in a real crack growth length meaning.

• 대한전자공학회논문지TE
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• 제39권3호
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• pp.35-41
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• 2002

지금까지 많은 영상 영역분할 방법들이 연구되고 있으나 이들 방법들은 잡음이 영상 내에 포함된다면 잡음으로부터 영상정보를 추정할 수 있는 정확한 파리미터가 없기 때문에 정확한 영역분할을 할 수 없다. 그래서 영역분할 수에 따라 압축률이 결정되는 프랙탈 영상 부호화는 기존의 쿼드트리 영역분할 방법을 이용할 경우 잡음정도에 따라 압축률의 저하를 초래하게 된다. 본 논문에서는 잡음 특성에 효과적인 영상정보 파리미터를 추정할 수 있는 box-counting 차원을 이용한 새로운 쿼드트리 영상 영역분할 기법을 제안하고, 그 응용으로 잡음에 강한 프랙탈 영상 부호화에 적용한다. 시험결과를 통해 본 논문에서 제안된 새로운 쿼드트리 방법이 원 영상에 10% 가우샨 백색 잡음이 포함된 상태에서, 영상정보 파라미터 추출 오류 면에서 기존 쿼드트리 방법보다 31.10% 영역분할이 개선되고, 프랙탈 영상 부호화 측면에서 기존 방법보다 38.93% 압축률을 향상됨을 검증하였다.

• 대한원격탐사학회:학술대회논문집
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• 대한원격탐사학회 2007년도 Proceedings of ISRS 2007
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• pp.29-32
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• 2007

Tidal channel development is influenced by sediment type, grain size, composition and tidal current. Tidal channels are usually characterized by channel development, density and shape. Quantitative analysis of tidal channels using remotely sensed data have rarely been studied. The objective of this study is to quantify tidal channels in terms of fractal dimension and compare different inter-tidal channel patterns. For the fractal analysis, we used Box counting method which had been successfully applied to streams, coastlines and others linear features. For a study, the southern part of Ganghwado tidal flats was selected where is famous for high dynamics of tidal currents and vast tidal flats. This area has different widths and lengths of tidal channels. IKONOS and Komsat-2 MSC images were used for extracting tidal channels, and the Box counting method was applied to obtain fractal dimensions (D) for each tidal channel. Yeochari area possesses channels with linear pattern and less dense development and accordingly show low D values ranging from 1.037 to 1.038. On other hands, area (near Donggumdo and Yeongjongdo ) of dendrites channel pattern and dense development resulted in high D values from 1.2057 to 1.2667. Also, area possesses channels with linear pattern had low density about $18{\sim}24%$. Area of dendritic channel pattern had high density about $34{\sim}69%$. The difference of fractal dimensions about 0.2 according to channel development in tidal flats is relatively large enough to use as an index for tidal channel classification. Also, area where channels showed linear pattern had low density about $18{\sim}24%$. Area of dendritic channel pattern had high density about $34{\sim}69%$. Using fractal dimension and density, it would be possible to quantify the tidal channel development in association with surface characteristics.

• 대한원격탐사학회지
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• 제23권6호
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• pp.567-573
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• 2007

조간대의 조류로 발달은 조간대 퇴적물 종류, 입도, 조성 및 조류의 세기 등에 많은 영향을 받는다. 조류로의 발달 특성, 밀도, 형태 등은 조간대의 특징을 분석하는데 활용될 수 있다. 그러나 조류로에 대한 정량적 분석은 시도되지 못하고 있다. 따라서 이번 연구의 목적은 고해상도 위성 영상 자료를 이용하여 조류로에 대한 프랙털 차원 결과와 조류로 발달에 영향을 주는 지형(DEM : Digital Elevation Model)을 비교 분석하는 것이다. 이번 연구에서는 프랙털 분석 중에서 하천 해안 등 선형의 특징에 많은 적용을 하는 box counting 방법을 이용하였다. 연구 지역은 조차가 심한 강화도 남단의 조간대이다. 연구 방법은 IKONOS 영상으로부터 조류로를 추출한 뒤 프랙털 차원을 구하였다. 그 결과 프랙털 차원은 약 $1.0{\sim}1.35$ 정도의 결과 값을 얻었다. 지형이 낮으며 채널의 발달이 미비한 지역(강화도 남단 여차리 부근)에서는 프랙털 차원이 약 $1.0{\sim}1.2$ 정도의 낮은 값을 가지는 반면에 지형이 높고 채널 발달이 수지상으로 잘 발달된 지역(영종도 북단)의 프랙털 차원은 약 $1.20{\sim}1.35$ 정도의 높은 값을 가진다. 이 분석으로부터 프랙털 분석으로 인하여 조류로의 정량적 분류가 가능하며 지역의 지형에 따라서 조류로의 발달 형태가 달라 프랙털 차원 값이 다르다는 결론을 얻었다.