• Title/Summary/Keyword: Fractal Theory

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Pore Structure and Fractal Characters of Cement Mortar Containing γ-C2S (γ-C2S 혼입 시멘트 모르타르의 공극구조 및 Fractal특성)

  • Chen, Zheng-Xin;Lee, Han-Seung
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2017.11a
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    • pp.24-25
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    • 2017
  • Gamma-C2S (γ-C2S) is a substance that is difficult to react with water under normal temperature but can absorb a large amount of CO2 in the air. The addition of γ-C2S to cementitious materials through the curing of CO2 can improve the pore structure and improve the durability of the material. In this study, three kind of Ca-bearing materials : CaO, Ca(OH)2, CaCO3, were calcined 2.5h at 1450℃ to synthesize γ-C2S after mixing with SiO2 respectively. Among them, Ca(OH)2 mixed with SiO2 after calcining shows highest content. Synthesized γ-C2S was added to the cement mortar, after water curing for 1 month, accelerated carbonation test was experimented. After 28d accelerated carbonation test, pore structure will be detectived by MIP. Based on the MIP result, following the calculation method of Fractal theory, the pore structure will be quantitative described.

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Wind-induced fragility assessment of urban trees with structural uncertainties

  • Peng, Yongbo;Wang, Zhiheng;Ai, Xiaoqiu
    • Wind and Structures
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    • v.26 no.1
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    • pp.45-56
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    • 2018
  • Wind damage of urban trees arises to be a serious issue especially in the typhoon-prone areas. As a family of tree species widely-planted in Southeast China, the structural behaviors of Plane tree is investigated. In order to accommodate the complexities of tree morphology, a fractal theory based finite element modeling method is proposed. On-site measurement of Plane trees is performed for physical definition of structural parameters. It is revealed that modal frequencies of Plane trees distribute in a manner of grouped dense-frequencies; bending is the main mode of structural failure. In conjunction with the probability density evolution method, the fragility assessment of urban trees subjected to wind excitations is then proceeded. Numerical results indicate that small-size segments such as secondary branches feature a relatively higher failure risk in a low wind level, and a relatively lower failure risk in a high wind level owing to windward shrinks. Besides, the trunk of Plane tree is the segment most likely to be damaged than other segments in case of high winds. The failure position tends to occur at the connection between trunk and primary branches, where the logical protections and reinforcement measures can be implemented for mitigating the wind damage.

Non-uniform virtual material modeling on contact interface of assembly structure with bolted joints

  • Cao, Jianbin;Zhang, Zhousuo;Yang, Wenzhan;Guo, Yanfei
    • Structural Engineering and Mechanics
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    • v.72 no.5
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    • pp.557-568
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    • 2019
  • Accurate modeling of contact interface in bolted joints is crucial in predicting the dynamic behavior for bolted assemblies under external load. This paper presents a contact pressure distribution based non-uniform virtual material method to describe the joint interface of assembly structure, which is connected by sparsely distributed multi-bolts. Firstly, the contact pressure distribution of bolted joints is obtained by the nonlinear static analysis in the finite element software ANSYS. The contact surface around bolt hole is divided into several sub-layers, and contact pressure in each sub-layer is thought to be evenly. Then, considering multi-asperity contact at the micro perspective, the relationship between contact pressure and interfacial virtual material parameters for each sub-layer is established by using the fractal contact theory. Finally, an experimental platform for the dynamic characteristics testing of a beam lap structure with double-bolted joint is constructed to validate the efficiency of proposed method. It is found that the theoretical results are in good agreement with experimental results by impact response in both time- and frequency-domain, and the relative errors of the first four natural frequencies are less than 1%. Furthermore, the presented model is used to examine the effect of rough contact surface on dynamic characteristics of bolted joint.

Image Compression Technique Using Discrete Wavelet Transform and Fractal Theory (이산 웨이블렛 변환과 프렉탈 이론을 이용한 영상부호화 기법)

  • 김용호;정종근;편석범;이윤배
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.39 no.4
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    • pp.423-430
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    • 2002
  • When JPEG, a standard of stopped image compression, is high compressed, the image is severely blocked. Since JPEG performs compression after taking DCT(Discrete Cosine Transform). It has a defect that the quality of image becomes low with aliasing in the case of high compression. Though transformation cipher method can have high compression rate, flame nay happen to quality of image by transformation and reverse transformation. In this paper, we use wavelet transform and fractal theory in order to solve these problems. After we apply these two methods to stopped image, we can get some good results, improvement of speed and compression rate, and elimination of blocking appearance. Besides, we show quality of restoration image is better than established one.

Application to Understanding and Counter Terrorism Corresponding field of Complex System Theory (복잡계 이론의 이해와 테러대응 분야에의 적용)

  • Kwon, Jeonghoon
    • Journal of the Society of Disaster Information
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    • v.11 no.4
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    • pp.542-547
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    • 2015
  • This study is discussing with respect to the access sector for terrorism response based on the thinking and methodology of complex systems theory, which is mainly used in many disciplines today to effectively respond to complex multi-environment change its purpose there. As a result, Butterfly Effect, fractal & self-similarity, self-organization, emergence, coevolution, edge of chaos the applicability of the corresponding field of terrorism through the complex system theory as metaphorical will be able to navigate.

A Study on the Possibility of Introduction of Fractals to the High School Mathematics Curriculum (프랙탈의 고등학교 수학교육과정에의 도입가능성에 관한 연구)

  • 최정숙;신인선
    • The Mathematical Education
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    • v.37 no.1
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    • pp.115-138
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    • 1998
  • We seek the possibility of introduction of Fractals to the high school math. curriculum through identifying Fractals teaching programs appropriate for the scopes and sequences in math. education for the high school students. We presented the contents of Fractal theory suitable for the high school students. The following subjects were chosen to be introduced; self-similarity, Fractal dimension, Cantor set, Sierpinsky triangle, Sierpinsky carpel Koch curve, Koch island, perimeter estimate of rugged profiles drawn on paper, and chaos game. We developed the working papers and the criteria for appraisal. Each working paper focuses on the activities in which students can solve the given problems, understanding the characteristics and ideas of Fractals. The working papers were given to the second year students who take science course, and the degree of achievements were analyzed based on the appraisal criteria. The results show that it is possible to introduce Fractals to the high school students.

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Nonlinear Analysis of Cutting Force Signal according to Cutting Condition in End Mill Machining (엔드밀 가공시 절삭조건에 따른 절삭력의 비선형 해석)

  • 구세진;강명창;이득우;김정석
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.161-164
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    • 1995
  • Nonlinear analysis of various phenomena has been developed with improvement of computer. The characteristics form nonlinear analysis are available in monitoring and diagnosis state of system. There are many nonlinear property in cutting process, but nonlinear signals have been considered as noise. In this study, nonlinear analysis technique is applied and it will be verified that cutting force is chaos by calculating Lyapunov exponents,fractal dimension and embedding dimension. The relation between characteristic parameter calculated form sensor signal and various cutting condition is investigated.

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ECG Data Coding Using Piecewise Fractal Interpolation

  • Jun, Young-Il;Jung, Hyun-Meen;Yoon, Young-Ro;Yoon, Hyung-Ro
    • Proceedings of the KOSOMBE Conference
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    • v.1994 no.12
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    • pp.134-137
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    • 1994
  • In this paper, we describe an approach to ECG data coding based on a fractal theory of iterated contractive transformations defined piecewise. The main characteristic of this approach is that it relies on the assumption that signal redundancy can be efficiently captured and exploited through piecewise self-transformability on a block-wise basis. The variable range size technique is employed to reduce the reconstruction error. Large ranges are used for encoding the smooth waveform to yield high compression efficiency, and the smaller ranges are used for encoding rapidly varying parts of the signal to preserve the signal quality. The suggested algorithm was evaluated using MIT/BIH arrhythmia database. A high compression ratio is achieved with a relatively low reconstruction error.

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Chaotic Analysis of Multi-Sensor Signal in End-Milling Process (엔드밀가공시 복합계측 신호에 의한 공구 마멸의 카오스적 해석)

  • 구세진;이기용;강명창;김정석
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.817-821
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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 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 millingprocess. Then, it will be verified that cutting force is low-dimensional deterministic chaos calculating Lyapunov exponents, Fractal dimension, Embedding dimension. Aen it will be investigated that the relations between characteristic parameter caculated form sensor signal and tool wear.

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Fractal Dimension and Similarity of ART1 Neural Network (ART1 신경회로망의 프랙탈 차원 과 유사성)

  • Kang, Seong-Ho;Lee, Jeong-Hun;Jung, Kyung-Kwon;Eom, Ki-Hwan
    • Proceedings of the KIEE Conference
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    • 2002.11c
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    • pp.206-209
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    • 2002
  • This paper proposes a fractal dimension method for measurement of degree of similarity between prototype pattern and input pattern at ART1 (Adaptive Resonance Theory 1) neural network. In order to confirm the validity of proposed method, comparison of the performance has made between the conventional method and the proposed method through simulation. The results show that the proposed method has considerably improved the performance.

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