• Title/Summary/Keyword: a correlation dimension

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Estimation of Joint Roughness Coefficient(JRC) using Modified Divider Method (수정 분할자법을 이용한 절리 거칠기 계수(JRC)의 정량화)

  • Jang Hyun-Shic;Jang Bo-An;Kim Yul
    • The Journal of Engineering Geology
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    • v.15 no.3
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    • pp.269-280
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    • 2005
  • We assigned points on surface of standard roughness profile by 0.1mm along the length and measured coordinates of points. Then, the lengths of profile were measured with different scales using modified divider method. The fractal dimensions and intercepts of slopes were determined by plotting the length vs scale in log-log scale. The fractal dimensions as well as intercepts of slopes show well correlation with joint roughness coefficients(JRC). However, multiplication of the kactal dimension by intercept show better correlation with IRC and we derived a new equation to estimate JRC from fractal dimension and intercept. The crossover length in which we can determine the correct fractal dimension was between 0.3-3.2mm. We measured joint roughness of 26 natural joints and calculated JRC using the equation suggested by Tse and Cruden(1979) and new equation derived by us. IRC values calculated by both equations are almost the same, indicating new equation is effective in measuring IRC.

Chaoticity Evaluation of Ultrasonic Signals in Welding Defects by 6dB Drop Method (6dB Drop법에 의한 용접 결함 초음파 신호의 카오스성 평가)

  • Yi, Won;Yun, In-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.7 s.166
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    • pp.1065-1074
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    • 1999
  • This study proposes the analysis and evaluation method of time series ultrasonic signal using the chaotic feature extraction for ultrasonic pattern recognition. Features extracted from time series data using the chaotic time series signal analysis quantitatively welding defects. For this purpose analysis objective in this study is fractal dimension and Lyapunov exponent. Trajectory changes in the strange attractor indicated that even same type of defects carried substantial difference in chaoticity resulting from distance shills such as 0.5 and 1.0 skip distance. Such differences in chaoticity enables the evaluation of unique features of defects in the weld zone. In experiment fractal(correlation) dimension and Lyapunov exponent extracted from 6dB ultrasonic defect signals of weld zone showed chaoticity. In quantitative chaotic feature extraction, feature values(mean values) of 4.2690 and 0.0907 in the case of porosity and 4.2432 and 0.0888 in the case of incomplete penetration were proposed on the basis of fractal dimension and Lyapunov exponent. Proposed chaotic feature extraction in this study enhances ultrasonic pattern recognition results from defect signals of weld zone such as vertical hole.

Applying Fractals and Agent-Based Simulation to Explore the Role of Terrain in Combat Effectiveness (프랙탈 차원과 에이전트 기반 시뮬레이션을 이용한 지형이 전투효과에 미치는 영향 연구)

  • Cho, Sung-Jin;Lee, Sang-Heon
    • Journal of the Korea Society for Simulation
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    • v.18 no.4
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    • pp.21-28
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    • 2009
  • In the past, most of battle occurred in flatland and simple military force size gave a big influence in combat result. However, after the World War I, most of battles took place at the various terrain features such as forest, downtown, jungle and many others. Therefore, terrain factor exerts big influence on battle with weapon system in the ground warfare. However, effect of terrain has been explained only by quantitative manner in the battle. Furthermore, combat simulation and modeling applied a method that lower the combat capability of battle factors. In this paper, we present instrumentation that evaluate impact of terrain using fractal dimension. We determine the fractal dimension value by the "box counting dDimension" and density to calculate impact of terrain. Furthermore, we analyzed correlation with fractal dimension and density for battle result that obtained from the EINSTein model which is an agent-based simulation. We compare with 'Stalingrad battle' result out of battle example and analyzed. This study presented a method combat effectiveness that effect of terrain calculate quantitatively using fractal dimension.

Fractal Analysis of the Carbonization Pattern Formed on the Surface of a Phenolic Resin (페놀수지 표면에 형성된 탄화패턴에 대한 프랙탈 해석)

  • Kim, Jun-Won;Park, Sang-Taek;Roh, Young-Su
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.24 no.1
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    • pp.124-129
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    • 2010
  • When a phenolic resin is carbonized by the leakage current flowing along its surface, the carbonization pattern is one of the most important factors to determine its carbonization characteristics. However, the typical carbonization pattern of a phenolic resin is too complicated to be analyzed by conventional Euclidean geometry. In most cases, such a complicated shape shows a fractal structure. It is possible, therefore, to examine the characteristics of the carbonization pattern regarding a given phenolic resin. In order to quantitatively investigate the carbonization pattern of the phenolic resin carbonized by a leakage current, in this paper, the fractal dimension of the carbonization pattern has been calculated as a function of the magnitude of a leakage current and the distance between two electrodes. For reliability of calculation, the correlation function as well as the box counting method has been used to calculate the fractal dimension. According to the result of calculation, the fractal dimension increases as the current increases at the constant electrode gap distance. However, there is no significant relation between the fractal dimension and the electrode gap distance at a constant current.

The Effects of Interactivity on Consumer-Internet Brand Relationship and Repurchase Intention in Internet Shopping Mall (인터넷 쇼핑몰에서의 상호작용성이 소비자-인터넷 브랜드 관계, 재구매 의도에 미치는 영향)

  • Chae, Jin-Mie
    • Journal of the Korea Fashion and Costume Design Association
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    • v.14 no.3
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    • pp.79-92
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    • 2012
  • The purpose of this study is to investigate the effect of interactivity on consumer-internet brand relationship and consumer's repurchase intention in internet shopping mall. The survey research was limited to the respondents over 20 years old living in Seoul and other metropolitan areas who had purchased fashion products in internet shopping mall. Questionnaire was collected from February 1, 2012 to February 12, 2012 and 562 useful data were analyzed by descriptive statistics, exploratory factor analysis, confirmatory factor analysis, reliability analysis, pearson's correlation analysis using Amos 19. The results of this study were as follows: First, each interactivity dimension had a Significantly positive effect on consumer-internet brand relationship. Also it showed stronger effect on 'trust' than on 'affective commitment'. Second, People-people interactivity showed stronger effect on each consumer-internet brand relationship dimension compared with contents-people interactivity. It suggested that internet shopping mall marketer should respond quickly to consumer's need and provide the strategic method to make consumers communicate each other. Third, only 'trust' dimension of consumer-internet brand relationship positively affected consumer's repurchase intention. while 'affective commitment' dimension did not affect consumer's repurchase intention.

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A Study on Characteristics of Suspended Particles in the River (하천에 함유된 부유입자의 특성에 관한 연구)

  • Moon, Byung-Hyun;Seo, Gyu-Tae;Jang, Deok-Joon
    • Journal of Korean Society on Water Environment
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    • v.21 no.5
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    • pp.500-504
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    • 2005
  • Water samples were collected at 7 sites located along the River Nakdong on 30 occasions. Water qualities, size and fractal dimension ($d_F$) of suspended particles were measured. Laser light scattering method was used to obtain the size and $d_F$ of suspended particles. The average size of particles in this river ranged from $89{\mu}m$ and $169{\mu}m$, which appears to be relatively coarse compared with other rivers worldwide. The average $d_F$ of suspended particles in this study ranged from 1.8 to 1.9. The correlation analysis showed that DO, TN, $NO_3$ and chlorophyll-${\alpha}$ had significant positive relationships with particles size, whereas flow rates and TSS had negative relationships. Interestingly, the factors of which had positive relationships with particles size showed negative relationship with the fractal dimension ($d_F$) of suspended particles. Generally, as the size of particles increased, the fractal dimension of particles decreased which was indicating the shape of the larger particles became more irregular.

Ultrasonic Pattern Recognition of Welding Defects Using the Chaotic Feature Extraction (카오스 특징 추출에 의한 용접 결함의 초음파 형상 인식)

  • Lee, Won;Yoon, In-Sik;Lee, Byung-Chae
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.6
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    • pp.167-174
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    • 1998
  • The ultrasonic test is recognized for its significance as a non-destructive testing method to detect volume defects such as porosity and incomplete penetration which reduce strength in the weld zone. This paper illustrates the defect detection in the weld zone of ferritic carbon steel using ultrasonic wave and the evaluation of pattern recognition by chaotic feature extraction using time series signal of detected defects as data. Shown in the time series data were that the time delay was 4 and the embedding dimension was 6 which indicate the geometric dimension of the subject system and the extent of information correlation. Based on fractal dimension and lyapunov exponent in quantitative chaotic feature extraction, feature value of 2.15, 0.47 is presented for porosity and 2.24, 0.51 for incomplete penetration The precision rate of the pattern recognition is enhanced with these values on the total waveform of defect signal in the weld zone. Therefore, we think that the ultrasonic pattern recognition method of weld zone defects of ferritic carbon steel by ultrasonic-chaotic feature extraction proposed in this paper can boost precision rate further than the existing method applying only partial waveform.

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A Study On the Diagnosis Breakdown Using Fractal Characteristics and the Method of Acoustic Emission in Low Density Polyethylene (프랙탈 특성과 음향방출 계측법을 이용한 LDPE 시료에서의 트리잉 파괴진단에 관한 연구)

  • Yoon, H.J.;Park, J.J.;Shin, S.J.;Choi, J.K.;Kim, S.H.;Kim, J.H.
    • Proceedings of the KIEE Conference
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    • 1997.07e
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    • pp.1758-1760
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    • 1997
  • Automatic detection system to detect acoustic emission pulse and fractal dimension were developed, to observe tree deterioration phenomena in LDPE. The purpose of our work are to use acoustic emission system and fractal dimension and to investigate the treeing phenomena in polymeric insulation under applied AC voltage 11[kV] with an artificial needle-shaped void(1.5[mm]) using the above system. We analyzed and phase angle-acoustic emission pulse amplitude-deterioration time ($\Phi$-AEA-t) pattern and phase angle-acoustic emission pulse number-deterioration time($\Phi$-AEN-t) pattern using statistical operators such as skewness, fractal dimension. In this paper show that the correlation of $\Phi$-AEA-t, $\Phi$-AEN-t, fractal dimension using regression analysis by the method of least squares can be used to predict the breakdown just before the breakdown occurs.

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Comparison between Guibi-tang Questionnaire and Related Questionnaires using Multidimensional Scaling (다차원척도법을 이용한 귀비탕변증설문지(歸脾湯辨證設問紙)와 관련 설문지와의 비교 연구)

  • Lee, Byoung-Hee;Park, Young-Jae;Oh, Whan-Sup;Lee, Sang-Chul;Kim, Min-Yong;Park, Young-Bae
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.15 no.2
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    • pp.169-174
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    • 2011
  • Objectives: Seven Emotions consist of Joy(喜), Anger(怒), Anxiety(憂), Thought(思), Sorrow(悲), Fear(恐), Fright(驚). If Seven Emotions are excessive, their extreme mental stimulations cause physical illness. The aim of the research is to make a proposal on the concept of Seven Emotions by a statistical comparison between guibi-tang questionnaire and health related questionnaires. Methods: We studied the similarities among three factors of guibi-tang questionnaire and three health related questionnaires(subjective symptoms of fatigue test, beck depression inventory, state-trait anxiety inventory, etc.) using multidimensional scaling. Results and Conclusions: 1. Physical-Emotion Dimension and Chronic-Acute Dimension were labelled in two-dimensional solution. 2. Seven Emotions and Fatigue have a high correlation. 3. Seven Emotions and Trait-Anxiety have a high correlation.

Perturbation and Nonlinear Dynamic Analysis of Sustained Vowels in Normal and Pathological Voices

  • Lee, Ji-Yeoun;Choi, Seong-Hee;Jiang, Jack J.;Hahn, Min-Soo;Choi, Hong-Shik
    • Phonetics and Speech Sciences
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    • v.2 no.1
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    • pp.113-120
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    • 2010
  • In this paper, we investigate the acoustic characteristics of sustained voices from normal subjects and patients with laryngeal pathologies. Perturbation methods (including jitter and shimmer), signal-to-noise ratio (SNR), and nonlinear dynamic methods (such as correlation dimension) are used to analyze normal and pathological voices. We find that jitter does not statistically discriminate between normal and pathological voices, but a significant difference is found for shimmer, SNR, and correlation dimension. The results suggest that nonlinear dynamic analysis may be valuable for the analysis of normal and pathological voices but perturbation analysis should be applied with caution for pathological voice analysis.

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