• Title/Summary/Keyword: 거듭제곱 지수

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3-D Free Vibration Analysis of Exponential and Power-law Functionally Graded Material(FGM) Plates (지수 및 멱 법칙 점진기능재료 판의 3차원 자유진동해석)

  • Lee, Won-Hong;Han, Sung-Cheon;Ahn, Jin-Hee;Park, Weon-Tae
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.5
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    • pp.553-561
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    • 2015
  • The exponential and power law functionally graded material(FGM) theory is reformulated considering the refined shear and normal deformation theory. This theory has ability to capture the both normal deformation effect and exponential and power law function in terms of the volume fraction of the constituents for material properties through the plate thickness. Navier's method has been used to solve the governing equations for all edges simply supported plates on Pasternak elastic foundation. Numerical solutions of vibration analysis of FGM plates are presented using this theory to illustrate the effects of power law index and 3-D theory of exponential and power law function on natural frequency. The relations between 3-D and 2-D higher-order shear deformation theory are discussed by numerical results. Further, effects of (i) power law index, (ii) side-to-thickness ratio, and (iii) elastic foundation parameter on nondimensional natural frequency are studied. To validate the present solutions, the reference solutions are discussed.

Brownian Coagulation of Fractal Agglomerates in the Free-molecule Regime (자유분자영역에서 프랙탈 입자의 브라운 응집에 관한 연구)

  • 박성훈;이규원
    • Proceedings of the Korea Air Pollution Research Association Conference
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    • 2001.11a
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    • pp.395-396
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    • 2001
  • 고온의 산업공정에서 발생하는 에어로졸 입자들은 많은 기본입자(primary particle)들로 이루어진 불규칙한 사슬구조를 가진다 (Matsoukas and Friedlander, 1991). 이러한 비구형 프랙탈 입자들의 거동은 구형 입자들과 비교할 때 큰 차이를 보인다. 프랙탈 입자들의 부피는 충돌반경의 거듭제곱으로 나타낼 수 있으며, 프랙탈 차원이라 불리는 그 지수는 1에서 3 사이의 값을 가진다. 자유분자영역에서의 브라운 응집에 대한 해석해는 Lee et al.(1990)에 의해 제시된 바 있으나, 이는 구형입자를 가정한 결과였고, 비구형 프랙탈 입자의 거동을 해석하려 할 때는 이로 인한 오차가 발생하게 된다. (중략)

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Recrystallization Topology : a Scale-free Power-law Network (재결정 위상 : 척도 없는 거듭제곱 법칙 망)

  • Park, Jae-Hyun
    • Journal of KIISE:Information Networking
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    • v.37 no.3
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    • pp.167-174
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    • 2010
  • Recently the distributed topology control algorithm for constructing the Recrystallization Topology in the unstructured peer-to-peer network was proposed. In this paper, we prove that such a hierarchical topology is a scale-free power-law network. We present a model of a construction process of the distributed protocol, and analyze it based on a mean-field approximation and the continuum theory, so that we show that the constructed Recrystallization Topology is a scale-free network. In the proposed model, all nodes are born with some initial attractiveness and the system incorporates the rewiring of some links at every time step. Some old links are removed with the anti-preferential probability, and some new links are added with preferential probability. In other words, according to the distributed algorithm, each node makes connections to the more-preferential nodes having higher hit-ratio than other nodes, while it disconnects the anti-preferential nodes having lesser hit-ratio. This gives a realistic description of the local processes forming the recrystallization topology in unstructured peer-to-peer network. We calculate analytically the degree distribution. The analytic result indicates that the constructed network is a scale-free network, of which the scaling exponent is 3.

Biaxial buckling analysis of sigmoid functionally graded material nano-scale plates using the nonlocal elaticity theory (비국소 탄성이론을 이용한 S형상 점진기능재료 나노-스케일 판의 이축 좌굴해석)

  • Lee, Won-Hong;Han, Sung-Cheon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.11
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    • pp.5930-5938
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    • 2013
  • The sigmoid functionally graded mateiral(S-FGM) theory is reformulated using the nonlocal elatictiry of Erigen. The equation of equilibrium of the nonlocal elasticity are derived. This theory has ability to capture the both small scale effects and sigmoid function in terms of the volume fraction of the constituents for material properties through the plate thickness. Navier's method has been used to solve the governing equations for all edges simply supported boundary conditions. Numerical solutions of biaxial buckling of nano-scale plates are presented using this theory to illustrate the effects of nonlocal theory and power law index of sigmoid function on buckling load. The relations between nonlocal and local theories are discussed by numerical results. Further, effects of (i) power law index, (ii) length, (iii) nonlocal parameter, (iv) aspect ratio and (v) mode number on nondimensional biaxial buckling load are studied. To validate the present solutions, the reference solutions are discussed.

Study on Barkhausen Avalanches in Fe Thin Film (Fe 박막에서의 박하우젠 현상 연구)

  • Lee, Hun-Sung;Ryu, Kwang-Su;Shin, Sung-Chul;Kang, Im-Seok
    • Journal of the Korean Magnetics Society
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    • v.19 no.5
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    • pp.176-179
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    • 2009
  • We report a direct observation of Barkhausen avalanches in 50-nm Fe film, using a magneto-optical microscope magnetometer, capable of time-resolved domain observation. The time-resolved domain-evolution patterns exhibit that the occurrence of Barkhausen jump is random with respect to interval, size, and location. From the repetitive measurements more than 1000 times, we found that the probability distribution of Barkhausen jump size follows a power-law distribution and the critical exponent reveals the value of 1.14 $\pm$ 0.03.

Static and Free Vibration Analysis of FGM Plates on Pasternak Elastic Foundation (Pasternak 탄성지반위에 놓인 점진기능재료 판의 정적 및 자유진동 해석)

  • Lee, Won-Hong;Han, Sung-Cheon;Park, Weon-Tae
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.6
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    • pp.529-538
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    • 2016
  • The simplified plate theory is presented for static and free vibration analysis of power-law(P) and sigmoid(S) Functionally Graded Materials(FGM) plates. This theory considers the parabolic distribution of the transverse shear stress, and satisfies the condition that requires the transverse shear stress to be zero on the upper and lower surfaces of the plate, without the shear correction factor. The simplified plate theory uses only four unknown variables and shares strong similarities with classical plate theory(CPT) in many aspects such as stress-resultant expressions, equation of motion and boundary conditions. The material properties of the plate are assumed to vary according to the power-law and sigmoid distributions of the volume fractions of the constituents. The Hamilton's principle is used to derive the equations of motion and Winkler-Pasternak elastic foundation model is employed. The results of static and dynamic responses for a simply supported FGM plate are calculated and a comparative analysis is carried out. The results of the comparative analysis with the solutions of references show relevant and accurate results for static and free vibration problems of FGM plates. Analytical solutions for the static and free vibration problems are presented so as to reveal the effects of the power law index, elastic foundation parameter, and side-to-thickness ratio.

A UCP-based Model to Estimate the Software Development Cost (소프트웨어 개발 비용을 추정하기 위한 사용사례 점수 기반 모델)

  • Park, Ju-Seok;Chong, Ki-Won
    • The KIPS Transactions:PartD
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    • v.11D no.1
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    • pp.163-172
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    • 2004
  • In the software development project applying object-oriented development methodology, the research on the UCP(Use Case Point) as a method to estimate development effort is being carried on. The existing research proposes the linear model calculating the development effort that multiplies an invariant on AUCP(Adjusted Use Case Point) which applied technical and environmental factors. However, the statistical model that estimates the development effort using AUCP and UUCP(Unadjusted Use Case Point) is not being studied. The irrelevant relationship of the linear regression model, whose development period is increasing tremendously as the software size increases, is confirmed. Moreover, during the UCP calculating process, there can be errors in FP by applying the TCF(Technical Complexity Factor) and EF(Environmental Factor). This paper presents a non-linear regression model, that does not consider the TCF and EF, and that estimate the development effort from UUCP directly by utilizing the exponential function. An exponential function is selected among the linear, logarithm, polynomial, power, and exponential model via statistical evaluations of the models mentioned above.

Software Cost Estimation Model Based on Use Case Points by using Regression Model (회귀분석을 이용한 UCP 기반 소프트웨어 개발 노력 추정 모델)

  • Park, Ju-Seok;Yang, Hea-Sool
    • The Journal of the Korea Contents Association
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    • v.9 no.8
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    • pp.147-157
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    • 2009
  • Recently, there has been continued research on UCP from the development effort estimation method to a software development project applying object oriented development methodology. Current research proposes a linear model estimating the developmenteffort by multiplying a constant to AUCP which applies technical and environmental factors. However, the fact that a non-linear regression model is more appropriate as the software size increases, the development period increases exponentially. In addition, in the UCP calculation process the occurrence of FP errors due to the application of TCF and EF, it is unrealistic to estimate the size with AUCP. This paper presents the issue of current research based on UCP without considering problems of the research, for example, TCF and EF and expresses the models (linear, logarithmic, polynomial, power and exponential type) estimating the development effort directly from UUCP. Consequently, the exponential model within non-linear models exhibit more accurate results than the current linear model. Therefore, after calculating the UUCP of the developing software system, using the proposed model to estimate the development effort, it is possible to estimate the direct cost required in development.

Shear Wave Velocity Estimation of Railway Roadbed Using Dynamic Cone Penetration Index (동적 콘 관입지수를 이용한 철도노반의 전단파속도 추정)

  • Hong, Won-Taek;Byun, Yong-Hoon;Choi, Chan Yong;Lee, Jong-Sub
    • Journal of the Korean Geotechnical Society
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    • v.31 no.11
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    • pp.25-31
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    • 2015
  • Elastic behavior of the railway roadbed which supports the repeating dynamic loads of the train is mainly affected by the shear modulus of the upper roadbed. Therefore, shear wave velocity estimation of the uniformly compacted roadbed can be used to estimate the elastic behavior of the railway roadbed. The objective of this study is to suggest the relationship between the dynamic cone penetration index (DCPI) and the shear wave velocity ($V_s$) of the upper roadbed in order to estimate the shear wave velocity by using the dynamic cone penetration test (DCPT). To ensure the reliability of the relationship, the dynamic cone penetration test and the measurement of the shear wave velocity are conducted on the constructed upper roadbed. As a method for measurement of the shear wave velocity, cross hole is used and then the dynamic cone penetration test is performed at a center point between the source and the receiver of the cross hole. As a result of the correlation of the dynamic cone penetration index and the shear wave velocity at the same depths, the shear wave velocity is estimated as a form of involution of the dynamic cone penetration index with a determinant coefficient above 0.8. The result of this study can be used to estimate both the shear wave velocity and the strength of the railway roadbed using the dynamic cone penetrometer.

Wave Overtopping Formula for Impulsive and Non-Impulsive Wave Conditions against Vertical Wall (충격파 및 비충격파 조건에서 직립식구조물의 월파량산정식)

  • Kim, Young-Taek;Lee, Jong-In
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.27 no.3
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    • pp.175-181
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    • 2015
  • In this study, two dimensional wave overtopping tests for vertical wall were performed and overtopping formulas were suggested for impulsive and non-impulsive wave conditions. The test results from this study were compared with those from EurOtop(2007). The wave overtopping formulas were derived and suggested considering the recent research trends, while the existing method used the diagram. The wave overtopping formulas have the form of exponential and power functions using non-dimensional variables for wave overtopping and freeboard heights for non-impulsive and impulsive condition, respectively. The wave overtopping formula and effective parameters for inclined superstructure were also suggested. It is analyzed that the locations of inclined superstructure do not have the significant effects on wave overtopping, that is, the wave overtopping rate were almost same for each locations.